Borehole Heat Exchanger

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    Design of BHE-Fieldsas a source of shallow geothermal energy

    Marc Sauer

    Dipl.-Geol. M. Sauer GbRZum Boden 6 35580 Wetzlar Germany

    0049 6441 212910

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    Picture by Thomas Blomberg, Blocon

    BHE: Borehole Heat Exchanger

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    VDI 4640

    German

    guidelineVDI 4640

    For the design of smaller

    BHE-fields (up to 30kW

    heating load) the so-

    called specific heat

    extraction may be used.

    Here the heat

    conductivity and the full

    load hours (heating) are

    roughly taken into

    account.

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    VDI 4640: Example

    Heating load: 10,0 kWFull load hours 1.800,0 h/aAnnual heating work: 18,0 MWh/a

    Lithology: Limestone (normal underground)Specific heat extraction: 60,0 W/m

    SPF heat pump: 4,0

    Evaporator load: 7,5 kW

    Needed BHE length: 125,0 m

    ( )1= SPFSPF

    loadHeatingloadEvaporator

    extractionheatSpecific

    loadEvaporatorlengthBHE =

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    Larger Systems (> 30 kW)

    Very often the design of the BHE-fields for medium and large

    facilities is also based on the specific heat extraction.

    German

    guideline

    VDI 4640

    An accurate dimensioning often results in completely different

    BHE-field sizes.

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    Larger Systems (> 30 kW)

    soil heat conductivity

    undisturbed underground temperatures

    groundwater

    building requirements (load, full load hours and work respectively)

    kind of use (only heating, heating + cooling direct / with heat pump)

    seasonal performance factor SPF (required temperatures)

    length of BHE

    borehole resistance (BHE type, borehole diameter, filling material)

    spacing

    BHE-field geometry

    The guideline demands that the temperatures in the underground have to becalculated (simulated) over the planned life time (e.g. 25 years) of the system.For this task several computer programs exist (e.g. Earth Energy Designer EED)They take into account the following important influencing factors:

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    Calculating Larger Systems (> 30 kW) with EED

    The dimensioning of a BHE-field is an iterative process, which means the input

    parameters will be changed until the fixed temperature limits are hardly maintained, i.e.:monthly middle temperatures in a heat transfer medium (base load): not below 0 C

    minimum temperatures in a heat transfer medium (peak load): -5 C

    Base load

    Peak cool load

    Peak heat load

    Year 25

    JAN FEB MAR APR MAY JUN JUL AUG SEP OCT NOV DEC

    Fluidtemperature[C]

    5

    4

    3

    2

    1

    0

    -1

    -2-3

    -4

    -5

    Peak min

    Peak max

    Base min

    Base max

    Year

    252015105

    Annualm

    in-maxfluidtemp.

    [C] 10

    8

    6

    4

    2

    0

    -2

    -4

    Simulation with Earth Energy Designer

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    Examples

    Residental Area with 28 Houses

    Heating: 6,5 kW

    2.400 h/aCOP HP: 3,8

    Underground: limestone

    = 2,8 W/(mK)T0= 12,8C

    As a single system:

    Spec. extraction acc. VDI 4640= 60 W/m

    Evap.Load: 4,8 kW

    BHE-Length: 80 m

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    ExamplesResidental Area with 28 Houses

    Heating: 6,5 kW2.400 h/a

    COP HP: 3,8

    Underground: limestone

    = 2,8 W/(mK)T0= 12,8C

    After simulation

    6,8 kW

    16,3 MWh

    6,4 kW

    15,4 MWh

    7,0 kW

    16,8 MWh

    6,4 kW

    15,4 MWh

    6,4 kW

    15,4 MWh

    6,4 kW

    15,4 MWh

    6,4 kW

    15,4 MWh

    6,4 kW

    15,4 MWh

    89,0 m109,0 m 85,0 m93,0 m98,5 m102,5 m102,5 m102,5 m

    8m

    + 36% + 6%+28 %

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    Examples

    Year 1

    JAN FEB MAR APR MAY JUN JUL AUG SEP OCT NOV DEC

    Fluidtemperature[C

    ]

    10

    9

    8

    7

    6

    5

    4

    3

    2

    1

    0

    -1

    -2

    -3

    -4

    -5

    -6

    -7

    Year 25

    JAN FEB MAR APR MAY JUN JUL AUG SEP OCT NOV DEC

    li

    4

    3

    2

    1

    0

    -1

    -2

    -3

    -4

    -5

    -6

    -7

    -8

    -9

    -10

    -11

    -12

    -13

    -14

    Year

    25242322212019181716151413121110987654321

    Annualmin-maxfluidte

    mp.

    [C]

    10

    8

    6

    4

    2

    0

    -2

    -4

    -6

    -8

    -10

    -12

    -14

    Heating load (Building): 100,0 kWHeating load (Heatpump) 30,0 kWFull load hours 3.500 h/aAnnual heating work: 105 MWh/a

    Lithology: Limestone (normal underground)Specific heat extraction: 60,0 W/m

    SPF heat pump: 4,0Evaporator load: 22,5 kW

    BHE length: 375 m (4 x 94m)

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    Examples

    9m

    Year

    25242322212019181716151413121110987654321

    Annualmin-maxfluidtemp

    .[C]

    12

    11

    10

    9

    8

    7

    6

    5

    4

    3

    2

    1

    0

    -1

    + 100% Spec.Extraction: 30 W/m

    Heating load (Building): 100,0 kW

    Heating load (Heatpump) 30,0 kWFull load hours 3.500 h/aAnnual heating work: 105 MWh/a

    Lithology: Limestone (normal underground)Thermal Conductivity: 2,8 W/(mK)Undisturbed Temp.: 12,8 C

    SPF heat pump: 4,0

    BHE length: 752 m (8 x 94m)

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    Examples

    eating load (Building): 100,0 kWeating load (Heatpump) 30,0 kWull load hours 3.500 h/annual heating work: 105 MWh/aPF 4,0

    ooling load (Building): 100,0 kWooling load (Heatpump): 30 kWull load hours 1.700 h/a

    nnual cooling work: 51 MWh/aPF (active cooling): 5,0

    HE length: 564 m (6 x 94m)Year

    25242322212019181716151413121110987654321

    Annualmin-maxfluidtemp.

    [C]

    30

    28

    26

    24

    22

    20

    18

    16

    14

    12

    10

    8

    6

    4

    2

    0

    6m

    Spec.Extraction: 40 W/m

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    Calculating Larger Systems (> 30 kW)

    Some pricipals:

    Thermal conductivityA higher thermal conductivity always increases the efficency of theBHE. The heat is transported faster when conductivity is higher

    Number of BHEWhen changing the number of BHE also the required depth changes.

    But a 100m BHE can't be replaced by 2 x 50m.Factors:1. Increase of temperature with depth (3K/100m)2. A low number of BHE reduces the unfavourable effect of

    mutual influence.3. With a greater number of BHE the accessible volume of

    soil /rock can be increased.

    4. Also the envelope area of the BHE-field is increasing

    BHE spacingWith increase spacing between the BHEs the accessible volume of soilcan be increased and the mutual influence can be reduced.

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    Calculating Larger Systems (> 30 kW)

    Some pricipals:

    Field geometryDepending on the field geometry a BHE has more or lessneighbours. With larger number of immediate neighboursthe mutual influence increases.

    Thermal borehole resistance

    The thermal borehole resistance describes the loss of temperatureduring heat transmission from rock to brine and vica versa.A low borehole resistance always has positive effect on theefficency of the BHE.

    Storage effectAs a rule, the maximum efficiency can be achieved with BHE-plants

    used for building heating and cooling.The discharged heat from the building cooling is (partly) stored in theunderground and is available for building heating in winter and vice versa.The consideration of the storage effects can cause a significant reductionin needed depth and/or number of BHE.

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    Summary

    W/m

    50

    For smaller single systemswithout special requirementsthe specific heat extractionvalues may be used for the

    design of BHEs.

    For medium sized (> 30 kW)and larger systems as well asfor systems with specialrequirements (e.g. high fullload hours, cooling) asimulation has to be made.

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    W/m50

    Thank you

    for your attention