10 - Cyclic Sedimentation

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    DEVELOPMENTS IN SEDIMENTOLOGY 10

    CYCLIC SEDIMENTAT ION

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    FURTHER

    TITLES

    IN THIS

    SERIES

    1 .

    DELTAIC A N D SHALLOW MARINE DEPOSITS

    L . M . J .

    U .

    VA N ST RAATE N, Editor

    2 . G. C . AMSTU TZ, Editor

    SEDIMENTOLOGY A N D ORE GENESIS

    3.

    TURBIDITES

    A . H. B OU MA and A. BRO UW ER, Editors

    4. F. G. TICKELL

    THE TECHNIQUES OF SEDIMENTAR Y MINERALO GY

    5 . J.

    C.

    INGL E Jr.

    THE MOVEMENT OF BEACH SA ND

    6.

    THE IDENTIFICATION OF DETRITAL FELDSPARS

    L . V A N D E R P L A S J r.

    7.

    SEDIMENTARY FEATURES

    OF

    FLYSCH AN D GREYWACKES

    S . DzUEYI?SKY and E. K. W A L T ON

    8.

    DIAGENESIS IN SEDIMENTS

    G . LARSE N and G . V . CHILINGAR, Editors

    9.

    CARBONATE ROCKS

    G. V . CHILINGAR, H .

    J .

    BISSELL and R . W . FAIRB RIDG E, Editors

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    DEVELOPMENTS IN SEDIMENTOLOGY 10

    CYCLIC SEDIMENTATION

    BY

    P.

    McL.

    D.

    DUFF

    A.

    HALLAM

    AND

    E.

    K. WALTON

    Grant Institute of Geology

    University

    of

    Edinburgh, Edinburgh, Great Britain

    ELSEVIER PUBLISHING COMPANY Amsterdam London New York

    1967

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    ELSEVIER PUBLISHING COMPANY

    335

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    LIBRARY OF CONGRESS CATALOG

    CARD NUMBER 67-1

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    WITH 91

    ILLUSTRATIONS AND 35

    TABLES

    ALL RIGHTS RESERVED

    THIS BOOK OR ANY PART THEREOF MAY NOT BE REPRODUCED IN ANY FORM, INCLUDING PHOTOSTATIC

    OR MICROFILM FORM, WlTHOlJT WRITTEN PERMISSION FROM THE PUBLISHERS

    PRINTED IN THE NETHERLANDS

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    PREFACE

    Despite the existence of a huge literature this is the first time that a textbook has

    been written on the subject of cyclic sedimentation. We cannot claim that our review

    of this literature is completely exhaustive, Russian work in particular being under-rep-

    resented. We have, however, tried to cover as much of the relevant data as is neces-

    sary to allow for adequate consideration of all significant hypotheses.

    It has been found desirable to vary the style of treatment of the subject from

    chapter to chapter and both the metric and foot-inch scale of stratigraphical meas-

    urement have been used. In this we have been guided by the nature of the data and

    the existing literature.

    We should like to express our thanks to a number of people whose co-operation

    has been invaluable. Dr.

    D. F.

    Merriam kindly allowed us to study the unpublished

    manuscripts of a number of contributions to an important symposium on cyclic

    sedimentation, which appeared as Bulletin

    169

    of the Kansas Geological Survey

    just when our manuscript was going to press. Dr. Merriam also showed two of

    us

    (P. D. and

    A .

    H.) some of the classic sections of Late Palaeozoic Kansan cyclothems

    and Dr.

    H .

    R.

    Wanless showed one of

    us

    (P. D.) important Pennsylvanian sections

    in Illinois and Indiana. Grants in aid of travel were provided by the Commonwealth

    Fund (A.H.) and the Carnegie Trust for the Universities of Scotland (P.D.). Dr.

    J.

    H, Rattigan obligingly supplied an

    unpublished manuscript

    on

    some Australian

    Carboniferous cycles and Prof. F.

    H.

    Stewart made helpful comments on Chapter

    8.

    Permission to reproduce text figures has been obtained from the authors or

    journals concerned.

    We should also like to acknowledge the considerable secretarial work of

    Miss

    A. Lord and the technical help given to

    us

    by members of the staff of the

    Grant Institute of Geology.

    Edinburgh

    P. McL.

    D.

    DUFF

    A.

    HALLAM

    E.

    K. WALTON

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    CONTENTS

    PREFACE . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . VII

    CHAPTER 1 NTRODUCTION . . . . . . . . . . . . . . . . . . . . . . . . . .

    1

    1

    ycles. rhythms and cyclothems

    . . . . . . . . . . . . . . . . . . . . . . . . . . .

    Nomenclature

    of

    cycles . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

    3

    Methodology . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8

    Classification and description . . . . . . . . . . . . . . . . . . . . . . . . . . . . 20

    Time series and harmonic analysis.

    13

    -

    Scale; phase and facies.

    18

    CHAPTER 2. CYCLES IN FLUVIAL REGIMES

    . . . . . . . . . . . . . . . . . . 21

    Cycles in the Old Red Sandstone

    of

    Britain

    . . . . . . . . . . . . . . . . . . . . . .

    21

    Molasse of Switzerland . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

    33

    Fluvio-lacustrine coal-bearing sequences of Gondwanaland

    . . . . . . . . . . . . . . . 38

    Witwatersrand System

    of

    South Africa

    . . . . . . . . . . . . . . . . . . . . . . . .

    43

    Flysch facies in molasse. 35

    CHAPTER

    3

    .CYCLES IN LACUSTRINE REGIMES . . . . . . . . . . . . . . . .

    49

    Introduction

    . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

    49

    Glacial varved clays

    . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

    49

    Non-glacial lakes

    . . .

    . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

    61

    Periodicity. 53

    -

    Transportation and sedimentation. 55 ong-term variations.

    60

    Varves. 62.eriodicity. 64.unspot cycles. 66 arger cycles. 67

    CHAPTER

    4.

    TRANSITIONAL REGIMES. I-NORTH AMERICA

    . . . . . . . . . 81

    United States of America

    . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

    81

    Eastern Interior Basin. 83

    -

    Mid-Continent Basin. 88

    -

    Appalachian Basin. 97

    -

    Rocky

    Mountain region.

    102

    Nova Scotia. 104

    Canada . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 104

    Theories

    of

    origin

    . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

    104

    CHAPTER

    5

    .TRANSITIONAL REGIMES. 11-EUROPE . . . . . . . . . . . . . .

    117

    Great Britain . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 117

    Continental Europe

    . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

    141

    Discussion . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

    148

    Visean. Tournaisian and Namurian.

    117

    -

    Namurian and Westphalian.

    132

    Environment

    of

    deposition. 148

    -

    Cycle mechanisms. 149

    CHAPTER

    6.

    EPICONTINENTAL MARINE ENVIRONMENTS. I . . . . . . . . . .

    157

    Calcareous and argillaceous rocks

    . . . . . . . . . . . . . . . . . . . . . . . . . .

    157

    Cycles composed of differing types

    of

    limestone

    . . . . . . . . . . . . . . . . . . . .

    158

    Cycles composed of limestones and argillaceous beds . . . . . . . . . . . . . . . . .

    163

    Limestonedolomite cycles

    . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

    161

    Minor cycles. 163 - Major cycles.

    170

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    CHAPTER

    7.

    EPICONTINENTAL MARINE ENVIRONMENTS.

    I1 . . . . . . . . . 183

    Cycles with significant quantities of sandstone. ironstone and phosphorite: minor cycles with

    bituminous laminae . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

    183

    Clay-sandstone-limestone cycles . . . . . . . . . . . . . . . . . . . . . . . . . .

    183

    Clay-sandstone cycles

    . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 185

    Ironstone-bearing cycles . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

    187

    Phosphorite-bearing cycles

    . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

    191

    Minor cycles with bituminous laminae . . . . . . . . . . . . . . . . . . . . . . . .

    192

    CHAPTER

    8

    .

    EPICONTINENTAL MARINE ENVIRONMENTS. I11

    . . . . . . . . .

    199

    Evaporite cycles . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

    199

    Major cycles with subsidiary evaporites . . . . . . . . . . . . . . . . . . . . . . .

    200

    Cycles with dominant evaporites

    . . . . . . . . . . . . . . . . . . . . . . . . . . 204

    Evaporite vames and solar cycles . . . . . . . . . . . . . . . . . . . . . . . . . .

    212

    CHAPTER

    9.

    FLYSCH . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

    215

    Modal cycles and composite sequences . . . . . . . . . . . . . . . . . . . . . . . .

    216

    Ideal (model) cycle

    . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

    221

    Turbidity currents.

    223

    - Combined action of turbidity currents and bottom currents.

    226

    -

    Bottom currents.

    227

    Major and intermediate cycles.

    204

    - Minor cycles.

    209

    Megarhythms

    . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 228

    CHAPTER

    10

    .SEDIMENTARY CYCLES AND FAUNAL CHANGE

    . . . . . . . . . 233

    Faunal succession within major sedimentary cycles . . . . . . . . . . . . . . . . . .

    233

    Faunal change between major sedimentary cycles

    . . . . . . . . . . . . . . . . . . . 236

    CHAPTER

    11

    .

    GENERAL

    CONCLUSIONS

    . . . . . . . . . . . . . . . . . . . . 241

    Sedimentary control . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

    242

    Tectonic control

    . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 244

    Eustatic control

    . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

    245

    Climatic control. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

    248

    Cycles and time . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

    250

    REFERENCES . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

    253

    INDEX . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

    271

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    Those who accept rhythm in nature will find it even where it is rather indistinct, and they will arrive

    at proper conclusions. Those who do not want to, will not find it even where it is obvious.

    (Yu. A. ZFJEMCHUZHNKOV,958.)

    Science, to an extent matched by no other human endeavor, places a premium upon the ability

    of

    the individual to make order out of what appears disordered. Therefore, the scientist more than

    anyone else needs to maintain his objectivity about his work, and perhaps even more vigorously,

    about himself. (E.

    J. ZELLER,964.)

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    Chapter

    1

    INTRODUCTION

    Certain topics within geology, like continental drift, geosynclines and granitisation,

    from their inception have been, and continue to be, centres of debate and controversy.

    Rhythmic or cyclic sedimentation is one of these. In general terms, which will be

    refined later, cyclic sedimentation refers to the repetition through a succession, of rock

    units which are organised in a particular order. But even now, after more than a century

    of discussion, there is still disagreement on the validity and usefulness of the concept.

    To some protagonists the subject is so general as to include the whole of sedimentation

    and

    so

    has no special meaningl; to others it provides, from apparent disorder, elegant

    generalisations which are satisfying in themselves as well as forming a basis for genetic

    interpretation.

    The simplest case of repetition involves only two components and a t this lower

    end of the scale it is possible to regard tiny interbedded laminae of, say, silt and clay

    as examples of cyclic or rhythmic sedimentation. At the other end

    of

    the scale broad

    changes in sediment character can span whole systems or even longer intervals. Some

    authorities, for example

    VON BUBNOFF

    1948)

    and

    SLOSS

    1964),

    refer to cycles of the

    order of geological systems or more and WELLER1964) has shown how stratigraphic

    thought in America in the early part of this century was dominated by theories of

    large-scale, world-wide cycles of sedimentation. We wish to exclude consideration of

    these larger sequences otherwise virtually every succession would have to be discussed.

    At the lowest level we would also exclude thin-bedded laminae as being of trivial, local

    significance. Thus we do not consider tidal laminae in this discussion but we do

    include annual layers or varves. Within these prescribed limits cyclic sedimentation

    ranges from clastic, organic or evaporitic varves often less than

    1

    mm

    thick, through

    sequences of intermediate size (say around a metre or more) up to thicknesses

    of

    tens and hundreds

    of

    metres.

    CYCLES, RHYTHMS AND CYCLOTHEMS

    The pattern of sedimentation which has come to be called cyclic or rhythmic involves

    a series of lithological elements (say A,

    B,

    etc.) repeated through a succession. The

    elements may be combined together (ABC) and referred to as a rhythm or a cycle,

    terms which go back at least to the latter part of the last century (see for example

    1 Essentially all deposition is cyclic or rhythmic

    Tvamom~,

    939, p.502).

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    2 INTRODUCTION

    PEACH,1888). In the simplest case we may have ABABAB and some authors (for

    example FEARNSIDES,950; FIEGE,952) would restrict the term rhythm to this type

    of succession. SANDER1936),

    on

    the other hand, suggested that rhythm be restricted

    to those sequences where the rhythmic unit was fairly constant in thickness, whereas

    VON BUBNOFF1948) added a genetic connotation

    in

    that he regarded a rhythm as

    being of climatic origin. Varves would conform to most of these requirements in that

    they are for the most part simple bipartite structures, fairly uniform in thickness per

    unit, of strict periodicity and climatic in origin. But the conditions could be fulfilled in

    so few cases that the term rhythm would be of very restricted application.

    There does not seem to be any strong case for restricting the term rhythm to

    simple successions of the ABAB type. There is always the possibility of lenticular

    lithologies coming in to change a rhythm into what would be called a cycle; in any

    case it is always convenient in descriptions to have a number of synonyms.

    There is little guidance from mathematicians

    on

    the subject. KENDALL1947)

    suggested that the term cycle be used only when the repetition is regular in time and

    SCHWARZACHER1964), in advocating this usage, recognised that most successions

    could only be claimed to show sedimentary oscillations. His scheme has some

    attractive features but the term sedimentary oscillations is very cumbersome and

    it would probably be difficult to obtain agreement on its use.

    Some authors lay importance

    on

    the difference between the sequences ABCD-

    ABCD and ABCDCBA and would restrict the word cycle to the latter. But, as

    ROBERTSON1948) pointed out, one of the most common expressions in English is

    the cycle of the seasons which is of the ABCD ABCD type. Perhaps the simplest

    solution is to refer to the ABCD ABCD type as asymmetrical cycles and to the

    ABCDCBA type as symmetrical.

    Cyclothem is different from the other two terms in that it was introduced

    specifically to refer to sedimentary rocks. The word cyclothem is therefore proposed

    to designate a series of beds deposited during a single sedimentary cycle of the type

    that prevailed during the Pennsylvanian period (WANLESSnd WELLER,932, p. 1003).

    Even so this original definition is not unambiguous. On one interpretation the term

    might be restricted to Carboniferous rocks, or even only to Pennsylvanian;

    on

    another,

    it might be applied more widely to sedimentary cycles of the type that prevailed

    during the Pennsylvanian period. In practice, and to the disapproval of WELLER

    (1961), later workers have tended to apply the term to rocks of different age and to

    rocks of very different lithologies from the Pennsylvanian cyclothems of Illinois

    (e.g., P. ALLEN, 959; HALLAM,961; J.

    R.

    L. ALLEN, 964a). There now seems no

    more reason to restrict the term to Carboniferous rocks than there is to regard cyclic

    sedimentation as uniquely confined to that system.

    In our opinion the three terms, rhythm, cycle and cyclothem should be regarded

    as synonymous except that the latter always refers to sedimentary deposits. Cycle

    or rhythm, though referring

    on

    most occasions to the deposits, might also denote the

    period of time during which certain sediments formed. The use of the terms will be

    clear from their context. BEERBOWER1964) has objected to suggestions of this sort

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    NOMENCLATURE

    OF

    CYCLES

    3

    on the ground that the original definition of cyclothem implies asymmetry. But many

    workers have used the term to cover both types and the well known Kansan cyclo-

    thems, for example, include both symmetrical and asymmetrical cycles

    (R.

    C. MOORE,

    1936; MERRIAM, 963; R.

    C.

    MOORE nd MERRIAM,965).

    We see no prospect of general agreement on, nor any particular advantage in,

    the usage of these terms according to arbitrary, restrictive definitions. On the contrary

    it should be possible to retain the words as general terms and qualify them as necessary.

    If the repetition can be shown to be regular in time then it should be sufficient to apply

    a description such as periodic cycle; if the sequence is of the ABAB type then it

    could be referred to as a simple cycle or rhythm; and as indicated above, cycles may

    be symmetrical or asymmetrical according to the arrangement of elements within the

    rhythmic sequence. In this way the terminology can be unambiguous and yet retain a

    flexibility denied it by too rigid definitions.

    It

    may not be unreasonable to refer to thin cycles as microcycles, to those of

    intermediate size simply as cyclothems or cycles and to thicker sequences as mega-

    cyclothems or megacycles. But to attempt to link these sizes to specific causes (for

    example microcycles as climatic or

    epeirogenic and cyclothems as epeirogenic) as

    FEGE 1952) has done is dangerous in the extreme. It should also be recognised that

    in America megacyclothem tends to have the connotation attached to it by R. C.

    MOORE1936; but see YOUNG, 955, 1957), that is to describe a cycle of cycles

    (see pp.88-94).

    Sequences larger than the megacyclothems of R.

    C.

    MOORE1936) have been

    called

    hypercyclothems

    and

    magnacycles.

    WELLER1961) introduced the term hyper-

    cyclothem to cover a cycle of megacyclothems while MERRIAM1963, following a

    suggestion of R. C. Moore), coined the term magnacycle to refer to rock units which

    represent major events in earth history. An example of a magnacycle given by Merriam

    is the Pennsylvanian-Permian sequence in Kansas. A hierarchy of cycles was also

    given by JABLOKOVt al. (1961). First order cycles were grouped into second order or

    mesocycles, the mesocycles combined into third order or macrocycles and the macro-

    cycles joined in fourth order or megacycles. The recognition of these larger order

    cycles appears to be

    so

    arbitrary that their practical value at this stage seems doubtful.

    Nomenclature is confusing, as can be seen from the two systems cited above. In addi-

    tionSAKAMo~o1957) used lst, 2nd and 3rd order cycles in reverse order to Jablokov

    et al., i.e., Sakamoto regarded the later Palaeozoic system as constituting a 1st

    order cycle, divisions of the Middle Carboniferous as 2nd order cycles while 3rd

    order cycles are individual cyclothems.

    NOMENCLATURE

    OF

    CYCLES

    Historically, interest in successions showing continual and repeated changes of lithol-

    ogy (they were not at h s t called cyclic successions) seems to have been first aroused

    by coal-bearing sequences. Once it became accepted that coal represented the remains

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    4 INTRODUCTION

    of plants and that the beds between the seams sometimes contained marine shells,

    speculation began as to the meaning of such combinations. Theories on the genesis of

    repetitive sedimentation in coal-bearing strata are dealt with in Chapters 4 and 5 .

    At this stage it is instructive to trace the way in which generalisations have been made

    regarding cyclic sequences.

    In

    the earliest descriptions (for example DE LA BECHE, 1834; MACLAREN,

    1839; MILNE, 839) it was considered sufficient o recognise an alternation ofcoal seams

    with marine strata. Some workers went a little further. DAWSON1854) for instance

    emphasised the combination of lithologies, underclay-coal-bituminous limestone

    while PHILLIPS1836) introduced a wholly admirable system which, had it been adopt-

    ed, might have clarified thought on the whole topic and led to a much more rapid

    advance than has in fact occurred. He recognised that the Lower Carboniferous

    rocks in the north of England (which he called the Yoredale Series) were made up of

    repetitions of limestone, gritstone and shale and suggested that a particular combi-

    nation of lithologies (say ABC or CAB) should be called a term. A number of such

    terms should constitute a series. Where a succession consisted of only two terms

    then it could be described as a dimeric series; the general case would be the poly-

    meric series comprising many terms.

    If

    the successive terms are the same (ABC,

    ABC, ABC,

    .

    ) then the series would be homo-polymeric but if the terms are

    dissimilar (ACB, ABC, BAC, . . ) then the series would be described as hetero-

    polymeric.

    It

    is rather ironic that most British authors have quoted Phillips as being

    the first to recognise the Yoredales as being built up of a series of similar Yoredale

    cycles, when he in fact regarded the Yoredales as forming a hetero-polymeric series.

    Phillips suggestions were not taken up and for more than a century generalisa-

    tion regarding rhythmic successions has been based on subjective assessment. Many

    authors, sometimes because they were dealing with a restricted succession or because

    they were dealing generally and superficially with thick successions over relatively large

    areas, have been content to note a simple repetitive unit. HIND (1902) for example

    described the Yoredale succession as repetitions of the unit, limestone-shale-sand-

    stone. HUDSON1924) incorporated the same lithologies (shale-sandstondimestone)

    but suggested a different starting point, because each limestone was thought to have an

    eroded top surface (surfaces since shown to consist of algal nodules of original

    shape, not eroded). In America, UDDEN1912), dealing with a small sequence in the

    Pennsylvanian rocks of the Peoria Quadrangle, Illinois, had pointed out a similar

    rhythmic unit. Each cycle he wrote (UDDEN, 912, p.470) may be said to present

    four successive stages, namely:

    I ) accumulation of vegetation;

    (2)

    deposition of

    calcareous material;

    (3)

    sand importation; and 4) aggradation to sea level and soil

    making.

    Since all successions tend to vary both laterally and vertically such simple

    generalisation must be qualified to some extent when the area and the thickness of

    succession under consideration are extended. Thus we have

    PEACH1888, p.17) Writing

    on the Lower Carboniferous of Scotland about the repeated cycles of varying litho-

    logies: When the succession is complete the following is the arrangement of strata in

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    NOMENCLATUREOFCYCLES

    5

    ascending order: (I) limestone charged with ordinary marine fossils;

    (2)

    shales, yield-

    ing stunted marine forms;

    (3)

    sandstone; 4) fireclay with the roots of plants which is

    overlain by a coal seam. In some cases one

    or

    more of these members may be absent,

    but the others preserve the same relative order. This method, involving the subjective

    selection of lithologies in

    a

    rhythmic unit and then noting possible variations, remain-

    ed the standard procedure in studies of cyclic sedimentation for seven or eight decades

    following Peachs writing. Consider, for example, TRUEMANS1954) description of the

    Coal Measures succession in Britain:

    For many years it has been apparent to those who have examined coal-bearing

    sediments that there is a characteristic pattern in the sequence of rock types, varied in

    detail but consistent in essentials in rocks of all ages and of all countries. This repe-

    tition of a common motifthroughout the coal-bearing rocks may be described as of a

    cyclical or rhythmic nature. In the Coal Measures of Britain and in northwest Europe

    generally the unit (1-5)

    of

    the rhythmic pattern is conveniently stated as:

    5) Coal.

    4)

    Rootlet bed.

    (3) Sandstone.

    (2) Non-marine shale

    or

    mudstone.

    I)

    Marine band.

    While the unit or cycle (cyclothem of American writers) is repeated in this simple form

    in some parts of the sequence, there are many minor variations. The thickness of the

    different members may vary greatly or some of them may be absent. The coal seam

    may be thick or thin, a mere streak in some places or absent in others, even if the root-

    let bed

    is

    well developed. The marine band is generally thin when present, but in the

    majority of the units it is absent altogether. When a marine band occurs it is usually at

    no great distance above the coal seam although a thin non-marine layer may intervene

    and indicate more gradual submergence of the swamp. The sandstone may vary greatly

    in thickness as has been said, in different localities in the same unit. Occasionally a

    sandstone may immediately succeed

    a

    coal seam. The unit may also be extended by

    minor repetitions of sandy and muddy layers. But with every conceivable modifcation,

    the most significant feature in the sequence of rocks making up the productive (i.e.,

    coal-bearing) part of the Coal Measures is the regularity of the simple pattern.

    TRUEMAN,

    954, p.10; our italics.)

    The variations are so carefully enumerated that the validity of the rhythmic

    sequence becomes extremely doubtful. Nevertheless the description in principle is the

    same as that of Peach. The pattern is the same elsewhere. In Germany,

    JESSEN

    (1961),

    having erected an elaborate ideal 14-unit Toll-cyclothem (p.3 12) for European

    coal-bearing rocks, qualified his remarks as follows (pp.316-3 17):

    Wer alle diese Cyclothem-Gliederund ihre Positionim Ablauf des zyklischen

    Sedimentationsvorgangeskennt, wird die naturgemassen Variationen verstehen, die-

    gegeniiber dem idealen Voll-Cyc1othem-an Gliedern mehr oder weniger stark

    oder sogar extrem an Gliedern verarmt sind. Eine Variationsreihe beruht auf

    Verarmungen an

    (=

    Wegfall von)

    progressiv-hemizyklischen

    Gliedern (1 + 2, 1-3,

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    6 INTRODUCTION

    1-4, 1-5, 1-6, 1-7). Aus einem zyklischen Glieder-Aufbau wird dann schliesslich ein

    rhythmischer (Glieder 8-14), der aber gleichfalls ein echtes Cyclothem darstellt.

    Hieran schliesst sich eine zweite Variationsreihe an, bei der auch das rezessive Hemi-

    cyclothem an Gliedern verarmte (Glieder 15,14

    +

    13, 14 12 ,1 411,1410). Das durch

    Kombination beider Verarmungsreihen an Gliedern extrem verarmte Cyclothem

    besteht dann allein aus Schieferton.

    Es

    entstand durch besonders starke Meeres-

    Progression, die jegliche Sand-Zufuhr in die Saumsenke verhinderte.

    Dem entgegengesetzt fuhrt eine Variationsreihe immer starkeren Ausfalls der

    feinkornigeren Glieder

    6 8 ,

    5-9, 4-10, 3-1 1) zum Extremfall allein aus Sandstein

    bestehender Cyclotheme. Diese entstanden in Fallen, in denen sich die Meeres-

    Progressionen iiberhaupt nicht oder nur eben andeutungsweise auswirken konnten.

    And in Belgium VAN LECKWIJCK1964, p.42), having described a five-fold

    complete cycle in the Namurian, had to add the comment Les cinq phases ne sont

    pas prksentes dans tous les cycles.

    .

    .

    In America the study ot cyclic sedimentation was greatly stimulated during the

    1930s by the work of WELLER1930, 1931) and interest has continued undiminished.

    But nomenclatorial confusion has grown almost as rapidly as the accumulation

    of

    stratigraphic data. In 1930, Weller described the typical cyclothem in Illinois in

    terms of nine successive lithological units. This succession was modified a year later

    and yet again in 1932 when the term cyclothem was introduced to refer specifically

    to the sediments (see above). Then WANLESSnd SHEPARD1936) described the typical

    cyclothem of Weller in a number of ways (normal, complete, standard, common)

    yet referred to a slightly different set of lithologies. Later WELLER1956) distinguished

    between an idealised standard succession and real cyclothems, real, presumably in

    the sense of naturally occurring units. I t seems likely that Wellers idealised standard

    cyclothem compares in its connotation with the complete cycle of PEACH 1888).

    There are therefore two categories of cycle which can be picked out, those referred to

    as typical, normal, etc., which might be expectedto beofcommonoccurrence and

    those, like the idealised standard which may be rarely developed but which express

    some characteristic order of the lithological units. Just as various terms have been used

    to describe the same succession and the same term has been used to describe different

    sequences in America, a similar confusion has arisen in British literature. The situation

    is summarised in Table I. It will be noticed that not only is there a profusion of terms

    but, what is more serious, there is also anumber, like complete, normal, typical

    which appear on both sides of the table and which have been used to describe the two

    categories of cycles distinguished above.

    There are two reasons why this confusion has arisen. The first

    is

    the subjective

    methods of assessing cyclic sedimentation and improved methods will be examined

    below. The second is the failure to isolate certain elements in the subject.

    We

    would

    separate these elements in this way.

    In any groups of rocks displaying cyclic sedimentation, it should be possible to

    identify that particular grouping of lithologies which occurs most frequently through

    the succession. This ordered sequence might naturally be correlated with what many

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    NOMENCLATURE OF CYCLES

    7

    TABLE I

    AMBIGUITY OF

    CYCLOTHEM NOMENCLATURE

    (After DUFF nd

    WALTON, 962)

    Cycles which reader might expect to occur

    frequently

    ~

    ~~ ~

    Theoretical or partly idealised cycles not

    necessarily of frequent occurrence, if

    present at all

    Typical (WELLER,930)l

    Typical (WELLER,931)l

    Normal (WANLESSnd SHEPARD, 936)2

    Complete (WANLESSnd SHEPARD, 936)2

    Standard (WANLESSnd SHEPARD,936)2

    Typical

    (WANLESS

    nd

    SHEPARD, 1936)

    Usual (WANLESSnd SHEPARD, 936)

    Common (WANLESS nd SHEPARD,1936)

    Typical (ROBERTSON,948)

    Fully developed (EDWARDS nd STUBBLEFIELD,947)3

    Normally developed

    (EDWARDS,1951)3

    Standard (DUNHAM,

    950)4

    Commonly developed rhythmic unit (DUNHAM,953)

    Normal (R. A.

    EDEN

    et al.,

    1957)

    Characteristic (GOODLET, 959)

    Full rhythmic sequence (ROBERTSON,948)

    Normal (ROBERTSON,948)

    Idealised standard WELLER,956)

    Theoretical (WELLER,957)

    Full (R.

    A.

    EDENet al., 1957)

    Complete (GOODLET,959)

    Theoretically expectable composite

    succession (WELLS,1960)5

    Typical (BEERBOWER,961)6

    1

    The unit of the two typical cyclothems actually differ though they purport to describe the same

    succession.

    Used by Wanless and Shepard to describeWELLERS1930) cyclothem although not used byWeller.

    Used to describe same cycle.

    Dunham cited standard cyclothem or rhythmic unit ofWANLESSnd WELLER (1932)although this

    qualifying term was not used by those two authors.

    5 Used to describe WELLERS1930) cyclothem.

    6

    Referring to the theoretical of

    WELLER1957).

    workers have designated the typical, normal or characteristic cycle (Table

    I).

    In order to emphasise that this cycle has been picked out because of its frequent

    occurrence

    DUFF

    and WALTON1962) proposed that it should be called the modal

    cycle.

    There are, however, also terms (Table I) which have a somewhat different mean-

    ing, for example Wellers idealised standard, composite and fully developed

    cycles. These carry no implication of frequent development. Authors using such terms

    generally make it clear that seldom, if ever, do the units described as making up one of

    these cycles occur together in an actual cycle. Nevertheless certain lithologies, although

    of infrequent occurrence, may have a preferred position with regard to the other beds

    of the modal cycle.

    For

    example a succession dominated by the rhythm

    ABCD

    may

    occasionally include an additional lithology,

    X,

    which, when present, lies between C

    and D. This is probably meaningful though there is no question that the sequence

    ABCXD

    is a common rhythmic unit.

    ABCXD

    is constructed from statistical data;

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    8

    INTRODUCTION

    it combines all the lithologies in a succession in the order in which they tend to occur

    and has been referred to as the composite sequence (DUFFand WALTON, 962).

    Both the modal cycle and the composite sequence are based on actual

    rock successions. But another concept runs through writings

    on

    rhythmic sedimenta-

    tion. This is implicit in the terms theoretical, idealised and even, one supposes,

    in the theoretical expectable composite succession (WELLS, 960). There is suggested

    in these terms a theoretical cycle to which the observed sequences can be referred and

    through which the observed sedimentary successions can be understood. This ideal

    or model cycle is one which can be constructed from theoretical considerations and

    from accumulated data from modern environments and experimental evidence. It

    arises only in consideration of the observed groups of the modal cycle and the compo-

    site sequence. BEERBOWER1964) has rightly pointed out that if any basin model is

    to be even approximately realistic it will generate a variety of cycles from which the

    most common can be picked out. This most common sequence he has called the

    ideal modal cyclothem.

    In

    our opinion the more correct title would be modal

    ideal-cyclothem but we deprecate the use of modal in this context because it was

    introduced specifically to refer to the results from statistical examination of actual

    successions.

    METHODOMGY

    In a provocative paper ZELLER1964) has pointed out that science, to an extent match-

    ed by

    no

    other human endeavour, places a premium upon the ability of the individual

    to make order out of what appears disordered1. While this statement in its entirety

    may be debatable it is sufficiently valid to suggest that each subjective assessment

    on

    the presence or absence of cyclic sedimentation is suspect and, as a corollary, that

    every effort should be made to systematise descriptions of rhythmic successionson an

    objective and, where possible, quantitative basis.

    So

    far attempts at the latter have

    developed along two main lines: (a) statistical analysis to pick out the modal cycles,

    composite sequences, etc., and

    b)

    refined mathematical techniques to test for

    periodicity in the data or to provide mathematical models for the geological data.

    Techniques of the second type are virtually restricted to simple successions such as

    varved clays though, as shown below, some attempt can be made to reduce more

    complicated sequences to

    a

    single variable.

    The picking out of the modal cycle represents an attempt to formalise the defini-

    tion of the rhythmic unit in a system with several components. Cycle is defined as that

    group of rock units which tend to occur in a certain order and which contains one

    unit which is repeated frequently through the succession (DUFF and WALTON,

    1 Zeller showed in the same paper that geology students were able to see correlations between actual

    successions in which each lithology was denoted by a number and sequences

    of

    numbers taken from

    the Kansas Telephone Directory

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    METHODOLOGY

    9

    C y c l e T y p e s

    Fig.1. Histogram showing frequency distribution ofcycle types from artificial succession given in text.

    1962, p.239). The unit referred to in the latter half of the definition would normally be

    one to which a certain genetic significance could be attached, such as the coal seam or

    underclay of the Coal Measures. I t is also obviously necessary to choose a unit which

    is relatively common in the succession. The procedure can be seen by reference to the

    succession indicated by the following letters: A, B, C and D which represent different

    lithologies:

    C, BC, ABC, ABC, BAC, DABC, ABC, DABC, BC, ABC, BABC,

    BABAC, ABC, BC, ABAC, ABDC, BABABC, DABC, BC, ABC, ABAC,

    ABC, ABABAC, ABC, ABC, ABC, BAC, DABC, BC, ABC,

    . .

    .

    Taking lithology C as the marker horizon because of its geological significance

    breaks up the sequence (as marked), into a number of units or cycles of which the

    sequence ABC is the most common (Fig.1). It is therefore the modal cycle. In order to

    determine the composite sequence the position of additional lithologies, such as D,

    is examined with respect to the beds of the modal cycle. In this example it is clear that

    although D does not occur very often, when it does it tends to lie above C and below

    A. The composite sequence is therefore DABC.

    DUFF

    nd WALTON1962) analysed over 1,200 cycles from the Coal Measures

    of the East Pennine Coalfield, England and found the distribution of cycle types

    (Fig.2). The critical lithology for marking the cycles was chosen as the coal seam or,

    when this was not present, the seat earth. The seat earths were classified according to

    their grain-size so that where a mudstone seat earth lay on shale the two were classified

    together as A. The other lithologies considered were B, siltstone, C, sandstone and M,

    mixtures of sandstone with siltstone or

    shale. The modal cycles then appear as A (an

    alternation of shale with seat earth and sometimes coal), ABA and AMA. The

    dominant cycle is one made up of fine, then coarse, then fine sediment. Another way

    of approaching the problem is to pick out the dominant cycle in terms of the number

    of lithologies present (Fig.3). This turned out to be three and when those cycles with

    three units are analysed the same pattern, fine-coarse-he sediment, is found as before

    (Fig.3). The Coal Measures succession also contains marine shales as an important,

    but numerically insignificant, lithology. When the position of these bands and the coal

    is included in the sequence the composite sequence becomes:

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    METHODOLOGY

    11

    No.

    of

    uni ts

    in

    cycle

    A

    3

    2

    1

    loo 200 300

    B

    Fig.3. A. Numbers of lithological units in non-marine cycles. B. Relative position of rock types in

    three-unit non-marine cycles. Ornament: lines-A (shale), fine dots-B (siltstone), coarse dots-C

    (sandstone), lines and dots44 (mixture).

    Coal.

    Seat earth.

    Shale, non-marine.

    Siltstone and/or sandstone.

    Shale, non-marine.

    Shale, marine.

    Having obtained the two sequences an ideal cycle can then be constructed from,

    for example, what is known of successions in deltaic regions of the present day. The

    comparison of the ideal and the modal can then be carried out and it is obviously

    desirable to be able to test the goodness of fit of the one with the other. A method

    proposed by PEARN

    1964)

    may be applicable in this situation. His account does not

    distinguish between modal and ideal and in fact the term ideal is used in both

    senses. Transposed into the terms we have used the type of question which is posed is:

    does the ideal cycle proposed by

    R.

    C. MOORE

    1936)

    for the Kansan rocks of Penn-

    sylvanian age best describe the rhythmic sedimentation found in that succession? How

    near does the ideal cycle coincide with the modal cycle and how far does the observed

    sequence differ from a random distribution of the strata?

    For the purpose

    of

    answering these and related questions WARN

    1964)

    intro-

    duced the Discordance Index

    G,

    a parameter calculated in the following way:

    Fig.2. Histogram showing frequency distribution of cycle types in the Coal Measures, East Pennine

    Coalfield, England. (After

    DUFF

    nd

    WALTON, 962.)

    A. Cycles with no marine fossils, divided into

    i ) those cycles containing no sandstone and ( i i ) those cycles with sandstone. B. Cycles containing

    marine fossils, divided into

    ( i )

    and ii) as in

    A.

    Lithological units of main cycle types shown in upward

    sequence: A

    =

    shale or mudstone; B

    =

    siltstone; C

    =

    sandstone; M

    =

    mixture of siltstoneor shale

    and sandstone.

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    12

    INTRODUCTION

    Given a sequence such as: 24324532, and a proposed ideal sequence: 123454321-

    23454321, the figures in italics are the lithologies common to both sequences and the

    units missing between the start and finish of the actual sequence total seven. This is one

    possible answer for G. But, as in the case of R. C. MOORES1936) ideal cyclothem

    (see p.88) which is symmetrical, the observed sequence may begin in a regressive hemi-

    cycle (54321) rather than the transgressive one (12345) as taken above. The comparable

    ideal sequence would then be:

    543212345432123454321

    and the missing units in this case would total nine.

    G

    is taken as the smaller number so

    in this example it would be seven.

    The next step was to assess the probability of any value of G arising from a

    random distribution of lithologies in a sequence. The possible combinations of the

    five lithologies depend on how many units are present in the postulated cycles.

    As

    the

    cycles become larger then the amount of calculation involved becomes more and more

    unmanagable. A limitation is therefore imposed on this method which restricts the

    significance of any results obtained. PEARN1964) chose to use sequences of seven

    units. All possible arrangements of five lithologies (such as 1234543, 2134543, etc.)

    in these seven units were considered (so long as no lithology was repeated consecutive-

    ly). The values of

    G

    associated with each of these arrangements then gave the probabil-

    ity of any value arising by chance. Using chi-squared tests Pearn

    was

    able to show that

    observed values of

    G

    differed significantly from randomness.

    In

    order to determine the goodness of fit of the proposed ideal cycle of Moore

    the values of discordance were calculated for a number of other possible arrangements.

    It was found that the Moore hemicycle (12345) was the best fit for the Kansan rock

    column (a somewhat artificial sequence summarising the succession in that state and

    erected by R. C. MOOREt al., 1951) but that when a sample of actual sequences from

    different parts of the state was considered 78 different hemicycles gave discordance

    values lower than the Moore hemicycle. Although Pearn referred to these possible

    hemicycles as ideal the procedure corresponds to the search for a type of modal

    cycle; the cycle which best summarises the observed sequence. Moores ideal cycle

    based on

    a

    transgressive-regressive model of sedimentation apparently falls

    a

    long

    way short of coincidence with a best-fit cycle; it would seem desirable therefore to

    consider other models in order to see whether they would generate an ideal cycle

    closer to that observed.

    A

    possible alternative approach to the problem of finding the most suitable

    model or ideal cycle arises from recent work on cross-association(SACKINt al., 1965;

    MERRIAM nd SNEATH,n press). The method involves comparison of sequences and

    noting whether elements (lithologies) at similar levels within the sequences are the

    same or not.

    A

    measure of the agreement of one sequence with the other is thus ob-

    tained. Development of the method is in a preliminary stage but its application to

    sequences where only qualitative data are available should yield interesting results.

    Another possible treatment of complicated successions where a number of lithol-

    ogies are present is to transform the data into a quantitative

    form.

    This has been done,

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    METHODOLOGY 13

    for example, by VISTELIUS1961) who allocated numerical values to the different

    lithologies (shale, sandstone, conglomerate, etc.) in proportion to their grain-size.

    In this form the data are amenable to the methods of analysis to be described in the

    next section.

    Time series and harmonic analysis

    In simple systems where one or two lithologies are involved, one variable measured

    through the succession, such as the thickness of each varve or the CaCO3 content of

    the sediments, gives directly a series referred to as a time series. This is a general term

    referring to the variation of one parameter through time and it will be realised at the

    outset that stratigraphical measurements refer to time at second hand as it were. The

    measurements are correlatable with variation through time only

    so

    far as the record is

    complete and the rate of sedimentation was relatively constant during the formation

    of the succession.

    Following JSENDALL (1947) we can first of all separate out the long-termvariation

    as

    a

    trend. This is convenient because we said at the outset that long-range variations

    would not be considered. Shorter-term oscillations may then be discerned in the time

    series which if strictly periodic according to Kendall could be termed cyclical. In

    addition, in natural sequences there is also an element causing random fluctuations.

    Given

    a

    time series which apparently shows oscillations the first problem is to

    show that these fluctuations are not random. This can be done by the up and down

    test (KENDALL, 1947; NEDERLOF,959) in which the number of turning points in

    the series is compared with the number which is likely to have arisen by chance.

    The number of runs ( R ) between turning points is compared with the number of

    observations (n) in the statistic K which is defined as:

    3R-2n

    +- 2.5

    2/ (16n-29)/ 10}

    = -

    The probability of a particular value for K arising by chance in a random series can be

    found from appropriate tables.

    If the value of Kindicates a non-random distribution the nature

    of

    the variations

    can then be investigated further. In a series where the value of the variable,x , is oscil-

    latingaround a mean value, in so far as there is some regularity in the oscillation,

    successive values of x are not independent of one another. That is to say the value of

    x at different points

    in

    the series will show some correlation one with another. It is

    possible therefore to investigate the structure of the series by considering the correla-

    tion between successive values of

    x .

    The correlation coefficient can be calculated as in

    the case of two variables

    x

    and

    y ,

    the procedure simply consisting

    of

    regarding values

    of x at successive points as values of a second variable,

    y .

    A number of correlation

    coefficients can be calculated according to whether x p (the value of x at position

    p

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    14

    -0.8-

    INTRODUCTION

    0.81

    -1.0 1

    0 2

    4

    6 a

    0

    Fig.4. A. Correlograms of Dartry Limestone thickness indexes (solid line) and fitted theoretical

    correlogramsof a Yule-Kendall process (dotted line) and a harmonic process (fine dots). For Dartry

    Limestone the horizontal scaIe

    is

    in metres and the points calculated at intervals

    of 20 cm.

    After

    SCHWARZACHER,

    964.)

    B.

    Correlopam

    of

    Benbulbin Shale (solid line) with fitted Yule-Kendall

    process (dotted line). Scale as in A. (After

    SCHWARZACHER,964.)

    in the series) is compared with x p + l ,or x p + 2 , or

    x p + k .

    The regression

    of x p

    and

    x p + l

    where the correlationcoefficient s found between

    ~ 1 x 2 ; 2 X 3 ;

    . .

    X n - l ; X n

    is referred

    to as the serial coefficientof the first order. The second order coefficient would relate

    x p and x p + 2 .

    In

    the general case the coefficient

    of

    the order k is given by:

    and the plot of rk against k is the correlogram (Fig.4). When the correlogram has been

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    METHODOLOGY 15

    determined for a given geological succession it can then be compared with suitable

    mathematical models. SCHWARZACHER1964) in

    his

    study of a Carboniferous lime-

    stone succession, considered four different cases:

    Case I is a stochastic process of moving averages where x at any point

    is

    deter-

    mined by the sum of a number of factors, u, some of which are common to successive

    values of

    x .

    The correlogram in this case appears as a straight line between l(r0)

    and zero

    ( r k ) .

    The case is described in the expression:

    where

    cP

    is a random variable.

    Case 2 is that of the autoregressive series, which

    is

    defined by:

    The first order of this series is given by:

    x p

    = - U X p - 1

    +

    E p

    while the second order is:

    x p

    =

    -axp-1-bxp-2

    +

    e p

    The autoregressive series is comparable to a pendulum being struck at random by a

    stream of peas. Each one of the random impulses affects the oscillation and is integrat-

    ed into the system. For the second order (the Yule-Kendall process) the correlogram

    has the form of a harmonic beginning as r,, equal to 1 and damping down towards zero.

    Case 3 is a special case of a harmonic process such as a pure sine wave. The

    correlogram of a sine wave is a cosine wave.

    Case

    4 adds a stochastic, random variable to a harmonic process of type 3.

    The result can be expressed in the form:

    27z

    x

    =

    Asin-p + e p

    V

    The correlogram, after decreasing from 1 (To) takes the form of a cosine wave whose

    constant amplitude is determined by the variance of the random variable E.

    The application of these techniques can be seen in SCHWARZACHERS1964)

    study of a Carboniferous section in Ireland. The numerical data consists of percentage

    limestone or average thickness of limestone bands in

    20

    cm intervals. It was found

    useful to have these two measurements because in different sections one or the other

    was the more accurate or the more meaningful. Plotting the variables brought out a

    short-term oscillation and a long-term trend. The latter was estimated and subtracted

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    16 INTRODUCTION

    from the data to isolate the oscillation. Correlograms were then computed for the

    oscillations seen in different parts of the succession-the Benbulbin Shale, and the

    Dartry and Glencar Limestones. With respect to the correlogram of the Dartry Lime-

    stone, it is apparent (Fig.4) that the Yule-Kendall autoregressive model gives a curve

    which is excessively damped but that a harmonic process with a superimposed dis-

    turbance gives a reasonable fit.

    A

    similar model could be applied to the correlogram

    of the Glencar Limestone but the Benbulbin Shale gives a curve which, though

    somewhat damped, corresponds to an autoregressive model. The geological signifi-

    cance of these results is discussed in Chapter 6.

    The structure of a cyclic sequence might best be analysed in terms of a periodic

    function-that function given in terms of the Fourier Series which can be expressed

    as (PRESTON nd HENDERSON,964; PRESTONnd HARBAUGH,965):

    n = m

    + bn sin

    nnz 1

    nnz

    L

    Un COS

    - 1

    where: L = half of the basic or fundamental period: in practice this is usually not

    known and can be taken as half the length over which the variable is sampled; z =

    independent variable of length through the succession;a,, = constant; an = the maxi-

    mum value (or amplitude) of the cosine term at the nth harmonic; bn = the maxi-

    mum value (or amplitude) of the sine term at the nth harmonic.

    The meaning of the parameters is illustrated from an artificial varve series in

    Fig.5 and the summation of sine and cosine terms up to n-5 is given in an example

    (Fig.6). Clearly as terms are added (with increase of n) the resultant curve becomes

    more and more complex. The procedure is that of finding a best-fit curve for the

    time series. The Fourier expression is perhaps the most powerful although any poly-

    nomial could be fitted (for example Fox, 1964).

    year

    A

    y e a r

    X

    I

    I

    1..

    thickness Y

    0 C

    Fig.5. Illustration of parameters used in harmonic analysis of time series

    C

    from

    an

    artificial v a ne

    succession

    A and varve diagram B. Value ofy indicated at arbitrary position of z.

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    METHODOLOGY

    17

    n - 1 oc

    n-2

    a b -

    C

    d

    Figd. Synthetic single Fourier Series illustrating wave forms of individual terms and wave forms of

    series generated by summation of individual

    terms:

    a

    =

    cosine,

    b =

    sine,

    c

    =

    sine + cosine,

    d =

    cumulative sine

    +

    cosine; for appropriate values of n, he harmonic number, from

    n

    = 1 to n

    = 5.

    (Adapted from PRESTONnd

    HARBAUGH,

    965.)

    For time series of any length the coefficientsa,.

    . .

    n and

    bn

    can be calculated

    (see for example PRESTONnd

    HARBAUGH,

    965, or for more extended treatment,

    WYLIE,960).

    These coefficients can then be used to derive

    a

    set of figures, c t , ci, cg

    .

    from:

    This set constitutes the

    pow er spectrum

    of the series. The value of c; is an indication of

    the contribution of the nth harmonic to the series and the plot of

    c:

    against the

    harmonic number

    n

    gives an indication of the relative strengths of the different

    periodicities.

    Various refinements of analysis and presentation are available but for our pre-

    sent purposes it is sufficient to note that the power or amplitude in one form or an-

    other is plotted as ordinate against frequency or its reciprocal (time, if available

    as

    in

    vane series, or thickness, as in most successions). The more important periodicities

    can be easily read from the peaks which appear in these spectrum or amplitude dia-

    grams.

    This type of analysis has so far been applied to varve successions in an attempt

    to pick out any strong periodicities. In practice pronounced peaks are noticeably

    absent although there is often

    a

    general rise in amplitude pointing to

    a

    possible

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    18 INTRODUCTION

    periodicity between 50 and 100 years in length (Fig.27, p.61). The average of glacial

    varve analyses (Fig.27, p.61) shows a rise in power at about

    5

    years while the Lake

    Superior varves show an increase involving frequencies between 6 and

    14

    years

    (Fig.7).

    Scale; phase

    and

    facies

    Two further aspects remain to be mentioned at this stage. The first concerns the scale

    on which investigations are carried out. KRUMBEIN1964) has set up a hierarchical

    scale involvinga number of levels of investigation from the detailed study of a member

    of

    a cyclothem up to a group of cycles. He also analysed formally the relationship

    between the observed and inferred elements. Implicit in his analysis was the relationship

    between the level of investigation and the inferences which can be drawn from the

    study and we would like to emphasise this rather obvious but sometimes overlooked

    point. Studies of tiny areas over trivial thicknesses of succession have often led to

    conclusions regarding mechanisms of formation involving world-wide and even cos-

    micevents. Our position is not to assert that these far-flung speculations are completely

    unwarranted but to reiterate that there should be some approximate correlation be-

    tween the scale of inference and the scale of observation.

    Secondly we might follow LAPORTEnd IMBRIE1964) in recognising that cyclic

    sedimentation can be studied both in

    phase

    and

    facies.

    Cyclic sedimentation refers to

    the development of lithologies in a pattern through a succession. It is appropriate

    therefore that successions at individual localities should be tested for cyclicity. This is

    to be primarily concerned with phase in sedimentation at different points in time at

    individual localities. But a system of sedimentation is one which has extent in space as

    well as time and cyclic sedimentation can therefore be regarded as the superimposition

    of lithologies due to the lateral migration of facies belts. In order to be complete there-

    fore any analysis of sedimentation should take account of both phase and facies-the

    one implementing and illuminating he other (LAPORTEnd IMBRIE,964). The essential

    combination of cycle-facies studies has also been stressed by ZHEMCHUZHNIKOV

    (1958; see Chapter 5).

    The erection of a modal cyclothem or a composite sequence is essentially a

    phase study. In a large basin of sedimentation separate modal cycles might be picked

    out for different sub-areas and the distribution of modal cycles would then reflect

    facies variation over the basin. KRUMBEINS1964) analysis involved a similar approach.

    Other studies have laid emphasis on facies variation. WANLFSS t al. (1963) traced

    individual members of three Pennsylvanian cyclothems over a very large area in the

    mid-west of the U.S.A. (see Chapter 4). Interpretation of the environment of accumu-

    lation of the different lithologies led to the construction of successive palaeogeograph-

    ic maps. The changes in palaeogeography show very strikingly the gradual build-up

    of the cyclic succession and the influence of localised tectonic elements. The aim of

    most investigations like this is to build up a model of the basin and its sedimentary

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    METHODOLOGY

    19

    N =

    106

    ? I

    1

    1

    1 I I 1 I

    px

    M

    ZQ 10 8

    6 5

    4

    1 YEARS)

    3

    I

    I

    I

    1

    1 1

    1

    I

    3.S

    3

    2.75 2s

    2 2 5

    e

    TIYE4RSl

    Fig.7. Amplitude

    spectrum

    of Pleistocene Lake Superior van es (N= 105). Large peak noticeable at

    low frequency

    (50-100 years) and broad rise between 6 and 14years: f ( C P Y ) = frequency, cycles

    per

    year. (After R .

    Y. NDERSON

    nd KOOPMANS,963.)

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    20

    INTRODUCTION

    fill. Certain individual lithologies can be studied separately towards the same end.

    POTTER 1962) for example, used data from sandstones in the Illinois area to recon-

    struct the physiography and filling of the Pennsylvanian basin of that region.

    Facies investigation is obviously facilitated by rigorous time control. The marine

    Lias of western Europe is an especially suitable field for the study of widespread facies

    changes (HALLAM,961,1964b; see Chapter 6) because palaeontological zoning allows

    the recognition of synchronous surfaces of erosion or distinctive lithological horizons

    which mark the boundaries of so-called major cycles. Such research has also revealed

    the masking of cyclic episodes in areas where lithologies are not suitable. The im-

    portance of this approach, involving as it does inter- as well as intra-continental

    correlation, is that it provides one of the few known criteria for distinguishing eustatic

    changes of sea-level from local epeirogenic or sedimentary controls of cyclic sedimen-

    tation.

    CLASSIFICATION

    AND

    DESCRIPTION

    We have adopted a scheme of classification which is based on rather broad environ-

    ments of sedimentation. Within the major categories separated by environment, the

    various types of cycle are treated either on a more detailed environmental basis or in

    terms of the lithologies present in the succession. While this scheme has the advantage

    of providing a ready link between description and genetic interpretations it has the

    chronic drawback, common to most systems, of generating

    a

    number of border-line

    cases, and what is perhaps more important, it divides seemingly coherent groups, such

    as varves, into different categories. We use the scheme because it seems to have the

    fewest disadvantages. The major divisions are:

    fluvial

    lacustrine

    ontinental

    Transitional

    epicontinental

    geosynclinal

    arine

    An attempt has been made to introduce some uniformity into the nomenclature

    but in many instances

    it has been necessary to be guided by what authors have found

    fit to call cycles. In view of our introductory remarks in this chapter the reader will

    realise that most so-called cycles, typical, complete or otherwise, should not be accept-

    ed uncritically.

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    Chapter 2

    CYCLES IN FLUVIAL REGIMES

    Deposits in fluvial regimes accumulate under different conditions which can be regard-

    ed as variations between two extremes. On the one hand, sedimentation in piedmont

    areas takes place in a number of overlapping alluvial fans. The fans are formed by

    mudflows, by deposition from sheet floods and heavily overloaded streams. Channels

    are continually choked with debris and the drainage deflected first one way and then

    another over the fan. At the other extreme there is sedimentation n the flood plains of

    large rivers which have well established channels. Deposition is not over-rapid and the

    main changes are due to meandering of the channel which carries different sediment-

    types across the plain. Under these conditions there tends to be a strong differentiation

    in the nature of the sediment from the coarse-grained material largely confined to

    within and near the channels to the much finer-grained sediment of the flood-basin

    outside. Between the two end members, the meandering river and the alluvial fan,

    braided rivers form an intermediate type in which there is rather less differentiation of

    facies than in the case of streams with near-permanent channels. The overloaded river

    forming the braided stream tends to break into many threads which cover much of the

    flood plain and

    so

    distribute coarse material more uniformly over the area.

    In so far as fluviatile deposits tend to be almost entirely clastic, and variability

    rather than patterned organisation is predominant, the recognition of cyclic sedimen-

    tation has been somewhat delayed. Nevertheless of recent years cycles in fluviatile

    deposits have been delineated from a number of successions. Their characteristics and

    associated problems have been described and discussed by J.

    R. L.

    ALLEN1964a,

    1965a,b)

    who

    also gave comprehensive bibliographies (see also

    HARMS

    nd

    FAHNE-

    STOCK, 1965).

    CYCLES IN

    T H E

    OLD RED SANDSTONE

    OF

    BRITAIN

    Considering first Old Red Sandstone sediments, J. R. L. ALLEN(1964a) described a

    number of examples from England and Wales which he referred to as cyclothems.

    Each of these (Fig.8-13) shows the presence of three features which

    J. R.

    L. Allen

    regarded as essential in the development of this type of cyclothem. In ascending order

    these are: I ) at the base a sharp and scoured surface surmounted by(2) a conglomeratic

    sandstone often with large clasts of the immediately underlying sediments and cul-

    minating in

    (3)

    a fine-grained bed of siltstone with clays and interbedded fine sandstone.

    Only two of the cycles (Fig.8, 9) are relatively simple although even these show some

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    22

    CYCLES

    IN

    F L W I A L REGIMES

    MAIN FACTS

    ...

    Scoured surface

    Red. coarse siltstone devoid of bedding

    Sparse calcium carbonate concretions.

    Invertebrate burrows in lower part.

    Suncracks absent.

    Variable thicknesr of red. ripple -drift

    /

    bedded, very fi ne sandstone. Grades up

    into silts tane . Invertebrate burrows.

    White to purple, fine

    t o

    medium, well

    sorted sandstones. Siltstone clasts concen.

    troted at base and scattered throughout.

    Trough cross-strotlfied, units

    10-90

    cm

    thick. Contorted cross-stra ta near base

    and middle.

    /

    Cut on siltstone. Maximum re lief 15 cn

    Few directionol scour structures.

    GENERAL LEGEND

    Ripple-bedded fine to

    medium sandstone

    Ripple-bedded very

    fine sandstone

    introfarmational conglomerate

    Flat-bedded fine to

    medium sandstone

    Flat-bedded very

    fine sandstone

    Cross-stratified coane to

    very coarse sandstone

    Cross-stratified fine to

    medium sandstme

    Trough crass-stratifled fine

    n assive medium s&

    to medium sandstone

    ....

    .

    INTERPRETATION

    Vertical accretlon deposit from overbank

    floods. Probably deposlted in backswamp

    area, perhaps

    a nmre OT

    less permanent

    lake.

    Vertical accretion deposit from overbonk

    floods. Possibly a levee dep osit or a

    paint- bar swale filling.

    Channel deposit probably formed by

    latera l accretion on a point-bar. Sand trans

    ported as bed-load over river bed formed

    into lunate %dunes Strong, variable currents.

    Siltstone closts fwm lag concentrate where

    channel was deepest.

    Erosion at deepest part of wandering

    river channel.

    Rippled bedding plme

    Siltstone

    Carbonate concretions

    m

    El

    R

    onvolute lamination

    Contorted cross-strata

    ~~

    Invertebrate burrows

    ipple-bedded coarse sandstone Massive very fine sandstone

    Fig.8. Generalised succession and interpretation

    of

    Downtonian cyclothem (cycle A) at Ludlow,

    Shropshire. (After

    J. R.

    L. ALLEN, 1964a.)

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    CYCLES IN THE OLD RED SANDSTONE OF BRITAIN

    23

    MAIN FACTS

    I

    5

    4

    3

    ul

    1L

    w

    I

    2

    0

    Red coarse siltstone dewid of

    bedding, grading up from very fine

    on erosional surface.

    No

    proofs of

    exposure.

    11 sandstone at base. Sandstone lenticle

    Medium to fine green sandstme

    on

    parallel to channel side concc idont on

    scoured surface. S cattered siltstone

    Medium to very fine green sond-

    stonas with siltstone clask. planar

    cross-stra tified or fiat-bedded and with

    primary current lineation.

    INTERPRETATION

    Vertical accretion deposit

    on

    flood-

    plain topstratum from overbank floods.

    Bockswanp deposit probably formed in

    more or less permanent lakes.

    Channel-fill deposit. Plug from

    longitudiml currents after channel wos

    cut.

    Channel cut occross sand bar.

    Channel deposit probably formed by

    loteral accretion

    on

    point-bar. Strong

    variable currents.,, Sand transported in

    strai ght- cres ted dunes . Wave action on

    beaches exposed

    at

    low river Stage.

    La g deposit farmed i n deepest parts

    of

    channel.

    Erosion

    In

    deepest parts of

    wandering river ctmnnel.

    Fig.9. Generalised succession and interpretationof Breconian cyclothem cycle B) at Brown Clee Hill,

    Shropshire. For legend see Fig.8. After

    J. R. L.

    ALLEN,1964a.)

    differences The first (Fig.8) has three members: member I begins with a coarse-grain-

    ed deposit on top of a scoured surface and passes into a

    festoon-beddedsandstonewith

    scattered large siltstone clasts; member 2 is a thin band of ripple-drift-bedded sand;

    member

    3

    is

    a red, coarse, massive blocky siltstone with carbonate concretions and

    some burrows. Suncracks and plant remains arelacking. Similarly in the second example

    (Fig.9) there is no evidence of exposure and drying out, while the lower sandstone

    member is complicated by the presence

    of

    a large channel scour.

    Of the other examples taken as cyclothems each shows more or less deviation

    from the simple cases. Cycle

    C

    (Fig.10) has

    a

    number

    of

    scoured surfaces in the lower

    part of the succession and the lowermost sequence is made up of interbedded lenticular

    sandstones and very fine-grained greenish siltstones which differ from all other lithol-

    ogies. Above this sequence there are a t least two coarse-grained sandstones overlying

    a scoured surface and the upper part of the cyclothem is occupied by siltstone with

    thin sandstones. The siltstones have suncracks, burrows and abundant calcite con-

    cretions. Cycle

    D

    (Fig. 11) is remarkable for the episodes of channelling recorded in the

    lower sandstone beds; cycleE (Fig.12) has a number of intraformational conglomerates

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    24

    CYCLES IN

    FLUVIAL

    REGIMES

    MAIN FACTS

    Thick red, coarse siltstones with lentides

    m d persistent beds

    af

    very fine. ripde-

    bedded sondstone. Invertebrate burrows

    d

    severol horizons.

    No

    suncracks.

    Abundant calcium corbonote concretions.

    /

    Thick red. coarse siiistones with

    lenticles ond persistent beds

    of

    very fine

    to medium sandstones. Suncrocks at

    three horizons. Sandstones ripple-bedded

    with sharp, ripp led tops. C onvolute

    lamination and dump bails. Invertebrate

    burrows.

    Planar craas-stratified, fine to medium,

    purple sondstone with contorted foresets

    locally. Thin siltstone and very fine

    ripple-b edd ed sandstone, both lenticular.

    Scattered siltstone clasts. in:raform-

    aliona l cong lomerate ot base.

    Cut on siltstone. Relie f low. Smoil-

    scale channels.

    Rapid alternation of lenticular sond-

    stones ond siltstones. Sandstones mostly

    white, ca m e, cross -stratified ; sharp bases,

    Wen erosional. and sharp rippled

    or

    smooth tops. Siitstones pale green

    and unbrdded.

    Cut on sinstone. Re lief low.

    INTERPRETATION

    Vertical accretion deposit from overbank

    flocds. Mo stly back- deposits with

    c w s e intercoiations representing toes

    of

    ievees or crevasse-splays. Conaetirms

    sugqest fiuctud i- groundwater table and

    exposure.

    Vertical accretion depusit from overbon

    floods. AltW Mte submergence and

    exposure. Complex of levee, backswomp

    and perhaps crevosse-splay deposits.

    Active river channel ot

    o

    distance.

    Channel deposit proboMy fwm ed by

    iaterol accretion on point-bor. Strong,

    voriobie currents. Sand carried 09 bed-load

    in straight-crested dunes moving mpidly

    at times. Conglomerate represents lag

    deposits formed in deepest ports of

    chonne

    i

    Erosion in deepest parts of wanderinq

    freshwater channel encroaching on tidal

    r iver.

    Tidal channel deposit. Variable currents

    with segregation of dock and moving

    water. Chonnel floor o complex of mud

    banks and sand banks covered with

    'tiunes .

    Erosion at f loor of t idal channel.

    Fig.10. Generalised succession and interpretation of Dittonian cyclothem (cycle C) at Lydney,

    Gloucestershire. For legend

    see

    Fig.8 . (After J.

    R. L. ALLEN,

    964a.)

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    CYCLES

    IN

    THE

    OLD RED SANDSTONE OF BRITAIN

    25

    ~~

    MAIN

    FACTS

    INTERPRETATION

    FUlr

    and coven channd. Red. flat - Channrl-fil l and latmral accretion

    r u n wc k o d & l t S t O M .

    In

    form

    of

    chonnal. ReIU

    about 4.0h.

    5

    Some siltstone.

    Fig.11. Generalised succession and interpretation

    of

    Dittonian cyclothem (cycle D) at Tugford,

    Shropshire. For legend see Fig.8. (After J. R.

    L.

    LEN964a.)

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    26

    CYCLES IN FLUVIAL REGIMES

    r

    MAIN FACTS

    Red coarse siltstones with invertebrate

    burrows, ripple-be dded sandstone lentlcles,

    and convolute laminations. No evidence

    of exposure.

    Red coarse siltstones alternating

    with beds or biscuitd of ripple-bedded,

    very fine sandstone. Invertebrate

    No proofs of exposure

    Red, flat - o r ripple-bed ded very

    fine to fine sandstone with a channeled

    scoured surfoce in lower Dart.

    Scattered siltstone ciasts.

    2

    Intrafo rmation al conglomerotes on

    scoured surfaces alternating with green

    1 siltstones and very fine to fins sand-

    stones, showing ripple-bedding, flat-

    bedding or convolute lamination.

    Concentrations of plant deb ris and

    l

    . .

    . . .

    .

    .

    . .

    . , . ._. ,

    ,. ,.

    .

    ,. ..,. I

    ostracoderms. some af latter articulated.

    Scoured surface of low relief cut

    INTERPRETATION

    Vertica l arcretion deposit from

    overbank floods. Backswamp area. proba bly

    a permanent lake.

    Vertical accretion deposit from

    overbank floods . Levee and backswamp

    deposits with area possibly a lake

    for long periods.

    Probably mixed channel-fil l ond

    lateral accretion deposits. Deposition of

    suspended and bed loads on channel

    bars and sand flats. Deepening or

    wandering of channel at times.

    Mixed channel-fil l and channel lag

    deposits. Repeated m igration and

    partial oggradation of channel. Flotsam

    of floodpialn plants and riverine

    ostracoderms deposited in or near

    active channel.

    Erosion a t floo r of wand ering river.

    Fig.12. GeneraIised succession and interpretation of Dittonian cyclothem cycle E) at Abergavenny,

    Monmouthshire.

    For

    legend

    see

    Fig.8. After

    J. R. L. ALLEN,

    964a.)

    in its lower portion and cycleF (Fig.13) has a notable series

    of

    potholes in one surface

    within the lower half while the lowest sandstone member is exceptional in having flat-

    bedded horizontal laminae rather than cross-stratification.

    Some objections might be raised to the way in which these cycles have been

    delimited. It is clear that no simple set of criteria has been used. For example in

    cycleD (Fig. 11) the presence of siltstone

    (9)

    nd the channelling above might have been

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    CYCLES

    IN

    THE OLD RED SANDSTONE OF BRITAIN

    MAIN FACTS

    Alterna tion of thin sandstones and

    siltstones. Red sandy coarse siltstones

    with invertebrate burrows and rare

    carbon ate concretions. Very f ine to fine

    poorly sorted sandstones. flo t- or rlpp ls

    bedded

    or

    mossive. Commonly rest on

    suncracked or eroded surfaces. Tops

    gradat ional or sharp with ripples.

    Invertebrote burrows.

    27

    I

    INTERPRETATION

    Verticol accre tion dDposlt from

    overbonk floods. Backswamp deposit with

    intercalated levee tongue. Fluctua ting

    groundwater table and periodic

    exposure.

    Vertico l accret ion deposit from

    overbonk floods. Dep osit ion of

    suspended load vio be d-load on levees,

    crevasse splays, and in bockswamps.

    Repeated scour, aggradation. and

    expasure

    of

    floodplain top-strotum.

    Flow at times in direction awoy. from

    eariler channel.

    Probably mixed channel-fi l l and

    lateral accretion deposit. Deposition of

    bed-loa d in channels, shallow and

    probably shif ting an d braided, wit h some

    wave act ion on exposed bonks and

    bars. Local channel lag deposits.

    Erosion

    at

    floor of wandering

    river channel.

    Fig.13. Generalised succession and interpretation of Breconian cyclothem (cycle F) at Mitcheldean,

    Gloucestershire. For legend

    see Fig.8.

    (After J. R.

    L. ALLEN,

    964a.)

    taken to indicate

    a

    separate cycle. In this connection J . R.

    L.

    ALLEN1965a) said:

    although two siltstones are present, the sequence is considered to represent a single

    cycle of deposition, because of the essentially uniform palaeocurrents observed and

    the manner in which an existing facies controlled the deposition of a later one.

    In

    speaking of a single phase of deposition

    J. R. L.

    Allen seems to indicate that the

    cycles

    have been demarcated in terms of a model based on studies of Recent sediments.

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    28 CYCLES IN n U V I A L REGIMES

    POIN T-B AR CREVASSE- SPLAY CHANNEL-FILL

    - - - - - - - - -

    Fig.14.

    Block

    diagram illustrating the developmentof flood-plain deposits in relation to a meandering

    channel. (After J. R. L. ALLEN,964a.)

    Within these deposits a depositional unit can result from channel migration which

    has the essential features mentioned above, the scour surface, the coarse followed by

    the fine fill. This fining-upwards unit J. R.

    L. ALLEN

    (1965a) took to be typical of

    alluvial deposits. But each episode of channel migration is likely to be more or less

    complicated and variable.

    Recent-sediment studies suggest that in any one phase a number of different

    types of deposits may form (see J. R. L. ALLEN, 965b, for comprehensive survey).

    These are-together with their location of development (see Fig.14): (a)vertical accre-

    tion deposits (levee and back swamp); (b) splay deposits (crevasse from channels);

    (c)

    lateral accretion deposits (point bar and channel bar);

    ( d )

    ag deposits (channel);

    (e) fill deposits (channel).

    Vertical accretion deposits form away from the channel and consist mostly of

    rather he-grained material which is spread over the flood plain. The sediments de-

    crease in grain-size away from the levees and predominantly silty or sandy interbeds

    record increased water flow. Deposition occurs mainly from the suspended load to

    give horizontal lamination, though the fine-grained sands may be moulded into ripples

    with cross-lamination. Some of the sands have distinct lower surfaces but their upper

    margins are gradational. Drying-out periods are common with the development of sun-

    cracks, soil profiles and, under suitable conditions, calcite concretions. The sediments

    are penetrated by plant rootlets and invertebrate burrows. Towards the levees sandy

    layers become more frequent and in the levees themselves there is a rapid alternation

    of sand, silt and clay with small-scale ripple cross-lamination very common.

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    CYCLES IN THE OLD

    RED SANDSTONE

    OF BRITAIN

    29

    Crevasse-splay deposits are not unlike those of the levees but may be coarser in

    grain and almost entirely sandy and rippled. The sand layers have sharp bases. The

    deposits form fan-like wedges which spread into the back-swamp areas from cuts in

    the levees.

    Lateralaccretion depositsaccumulatewithin the channelas point bars in meanders,

    or channel bars within the stream course. The deposits are formed from the bed-load

    in variously sized and shaped cross-laminae. Some are very large laminae related to

    large dune formation; other form the typical festoon-beddingproduced by accumulat-

    ing lunate dunes or by repeated scour and fill units. Ripple cross-lamination may be

    ubiquitous. Active bank erosion produces

    a scattering

    of

    penecontemporaneous clasts

    throughout the deposits. The size of the cross-laminated units frequently becomes

    smaller as the channel shoals. Horizontal bedding with primary current lineation on

    parting planes also occurs. The development of large and small cross-lamination or

    flat-bedding is determined by the flow conditions (Table 11).

    TABLE

    11

    SEDIMENTATfON STRUCTURES

    OF

    WELL WASHED SANDS AND SANDSTONES IN RELATION TO PLOW CONDITIONS

    (After J. R.

    L.

    ALLEN,

    1964a)

    Internal structure Bed surface roughness fo rm

    Flow

    conditions

    Small-scale Small-scale

    cross-stratification ripples

    Low intensity

    lower-flow regime

    Large-scale Large-scale High intensity

    cross-stratification ripples or dunes lower-flow regime

    (sets assembled in cosets)

    Flat-bedding with primary Plane beds with sedim ent Upper-flow regime

    current lineation movement

    Channel-lag

    deposits form the coarsest-grained material of the alluvium. They

    comprise detrital material from the source rocks and clasts derived from penecontempo-

    raneous erosion of the river's own deposits. The large fragments are confined to the

    bottom of the channel and move relatively slowly, lagging behind at normal or

    low-water and being moved only at high-water stages.

    Channel- 11 deposits are found in abandoned channels, the nature of the deposits

    depending on the nature of the abandonment. If the cutting-off is complete and abrupt

    then the deposits are mostly fine-grained, arriving from overbank floods and produced

    by vertical accretion which results in predominantly flat lamination. If abandonment

    is gradual then the fill may be rapid, coarse material predominates, scour and fill

    episodes are frequent and cross bedding is very common.

    The base of any channel is characterised by scour structures which are usually

    somewhat indefinite in outline. Sometimes no preferred orientation of scours is pre-

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    30 CYCLES I N FLUVIAL

    REGIMES

    sent, sometimes they have crudely fluted outlines, elongated parallel to the current.

    The depth of the scours tends to be limited to only a few cm (DOEGLAS,962).

    The model of sedimentation which

    J.

    R. L. ALLEN1964a) proposed and ap-

    peared to refer to as one episode of sedimentation is that cycle which begins by active

    channelling followed by gradual deposition until filling is completed. Both the cutting

    and the fill