14
35 Numerical Modeling of Tsunami Waves Associated With Worst Earthquake Scenarios of the Makran Subduction Zone in the Jask Port, Iran Akbarpour Jannat, Mahmood Reza *1 ; Rastgoftar, Ehsan 1 Iranian National Institute for Oceanography and Atmospheric Science (INIOAS), Tehran, IR Iran Received: June 2015 Accepted: November 2015 © 2015 Journal of the Persian Gulf. All rights reserved. Abstract The recent studies show that the past researches may have significantly underestimated earthquake and tsunami hazard in the Makran Subduction Zone (MSZ) and this region is potentially capable of producing major earthquakes. In this study, the worst case possible earthquake scenarios of the MSZ are simulated using fully nonlinear boussinesq model to investigate tsunami hazards on the Jask Port, one of the most important southern coastal areas of Iran. The 9.1Mw and 8.7Mw earthquakes which respectively, represent the rupture of about full and half length of the MSZ plate boundary, have been considered in the modeling. The global and local numerical simulation were conducted based on 1-minute and 3-arc sec resolution bathymetry data, respectively, in order to capture tsunami generation, propagation and inundation at the Jask Port. Results show the water subsidence is firstly obsereved along the Jask Port coastlines just after the earthquake occurrence, which can alert residents as a natural warning sign. Model results also reveal that due to the 9.1Mw earthquake and the 8.7Mw western Makran earthquake, the most coastal areas around the Jask Port are inundated by tsunami waves. However, the tsunami run-up is not observed when the 8.7Mw earthquake occurs at the eastern segment of the MSZ because the tsunami waves almost propagate in the north-south direction, perpendicular to the Makran fault and it causes a little effect of the tsunami attack on the western coast of Makran. Therefore, the most crucial factor that determines the tsunami risk at the Jask Port is the location of earthquake focal points in the Makran region. Keywords: Makran Subduction Zone, Tsunami, Jask Port, Numerical model, Inundation 1. Introduction Following the catastrophic Indian Ocean tsunami in December of 2004, which resulted in fulmination to more than 225,000 humans live and homelessness of more than one million people (Geist, Titov et al. 2006) and 2011 Japan tsunami which caused indescribable damage and casualties, paying more serious attention to this phenomenon and to assessing the vulnerability of different coasts around the world, especially for marginal Indian Ocean countries like Iran, is required. Definitely, Makran tsunami in 1945 and powerful tsunami of Indonesia in 2004 are not the first or the last such occurrences in the region. Indeed, the behaviour of three Eurasian, Indian and Journal of the Persian Gulf (Marine Science)/Vol. 6/No. 22/December 2015/13/35-48 * Email: [email protected]

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Page 1: Numerical Modeling of Tsunami Waves Associated …jpg.inio.ac.ir/article-1-444-en.pdfTherefore, cataloguing the history of tsunami occurrences around the world is a well-heeded international

35

Numerical Modeling of Tsunami Waves Associated With Worst Earthquake Scenarios of the Makran

Subduction Zone in the Jask Port, Iran Akbarpour Jannat, Mahmood Reza*1; Rastgoftar, Ehsan1

Iranian National Institute for Oceanography and Atmospheric Science (INIOAS), Tehran, IR Iran

Received: June 2015 Accepted: November 2015

© 2015 Journal of the Persian Gulf. All rights reserved.

Abstract The recent studies show that the past researches may have significantly underestimated earthquake and tsunami hazard in the Makran Subduction Zone (MSZ) and this region is potentially capable of producing major earthquakes. In this study, the worst case possible earthquake scenarios of the MSZ are simulated using fully nonlinear boussinesq model to investigate tsunami hazards on the Jask Port, one of the most important southern coastal areas of Iran. The 9.1Mw and 8.7Mw earthquakes which respectively, represent the rupture of about full and half length of the MSZ plate boundary, have been considered in the modeling. The global and local numerical simulation were conducted based on 1-minute and 3-arc sec resolution bathymetry data, respectively, in order to capture tsunami generation, propagation and inundation at the Jask Port. Results show the water subsidence is firstly obsereved along the Jask Port coastlines just after the earthquake occurrence, which can alert residents as a natural warning sign. Model results also reveal that due to the 9.1Mw earthquake and the 8.7Mw western Makran earthquake, the most coastal areas around the Jask Port are inundated by tsunami waves. However, the tsunami run-up is not observed when the 8.7Mw earthquake occurs at the eastern segment of the MSZ because the tsunami waves almost propagate in the north-south direction, perpendicular to the Makran fault and it causes a little effect of the tsunami attack on the western coast of Makran. Therefore, the most crucial factor that determines the tsunami risk at the Jask Port is the location of earthquake focal points in the Makran region.

Keywords: Makran Subduction Zone, Tsunami, Jask Port, Numerical model, Inundation

1. Introduction

Following the catastrophic Indian Ocean tsunami in December of 2004, which resulted in fulmination to more than 225,000 humans live and homelessness of more than one million people (Geist, Titov et al. 2006) and 2011 Japan tsunami which caused

indescribable damage and casualties, paying more serious attention to this phenomenon and to assessing the vulnerability of different coasts around the world, especially for marginal Indian Ocean countries like Iran, is required. Definitely, Makran tsunami in 1945 and powerful tsunami of Indonesia in 2004 are not the first or the last such occurrences in the region. Indeed, the behaviour of three Eurasian, Indian and

Journal of the Persian Gulf

(Marine Science)/Vol. 6/No. 22/December 2015/13/35-48

* Email: [email protected]

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Akbarpour Jannat and Rastgoftar / Numerical Modeling of Tsunami Waves Associated…

36

Arabian tectonic plates indicates that the recurrence

of tsunami in this zone is quite conceivable

(Ambraseys and Melville 1982). Tsunami hazard

assessment in any particular region and its irreparable

losses requires the compilation and analysis of past

tsunami records. Naturally, a better understanding of

the tsunami vulnerability of any region will not only

be crucial for all aspects of regional development,

including land-use and urban activities, but also for

estimating associated social and economical losses in

the aftermath of such events (Heidarzadeh et al. 2008).

Therefore, cataloguing the history of tsunami

occurrences around the world is a well-heeded

international practice.

Although tsunamis can be generated by variety of

different sources like earthquakes, submarine

landslides, volcanic eruptions and meteorite impact, but

subduction zones earthquakes are known as the most

common source of tsunamis. However, it should be

noted that usually earthquakes that take place along the

interface between the tectonic plates can lead to

tsunami formation. For example, the 2012 huge

earthquake occurred close to epicentre of the 2004

Indian Ocean earthquake was out of subduction zone

and did not cause considerable disturbance at ocean

surface; while the 2004 Indian Ocean earthquake

occurred inside the subduction zone, between Sunda

and Indian plates, generated huge tsunami that

devastated the surrounding region and caused about

230,000 losses of lives.

The Makran Subduction Zone (MSZ) is a

tsunamigenic narrow region extended from the Strait

of Hormuz at the end of Zindan-Minab fault in Iran

to the Ornach-Nal fault near Karachi in Pakistan. It is

stretching about 900 km (Heidarzadeh, et al. 2008)

due to reconstructions occurring among three

tectonic Eurasian, Indian and Arabian plates (Fig.1).

The rate of convergence along the Makran boundary

increases slightly from the west towards the east

(DeMets, Gordon et al. 1990), and the mean

subduction rate at the MSZ is about 19.5 mm/y

(Vernant, Nilforoushan et al. 2004). According to

other subduction rates related to different zones, such

as the Tonga Subduction Zone between Fiji and

Pacific plates equalling 160 mm/y (Bevis, Taylor et al.

2002), Japan Subduction Zone among Pacific and

Eurasian and Philippine plates at 80 mm/y (Kawasaki,

Asai et al. 2001), Sumatra Subduction Zone among

Australian, Indian and Eurasian plates amounting to

65 mm/y (Gahalaut and Catherine 2006), the MSZ is

characterised as a relatively slow moving subduction

zone. From the seismicity point of view, in the MSZ

large and shallow earthquakes are common which can

be regarded as a partial evidence for the tsunami

generation potential associated with order of

magnitude 8 earthquakes with an approximate average

return period of 100 to 250 years (Ambraseys and

Melville 1982; Heidarzadeh et al. 2008).

Fig. 1: Tectonic map of the MSZ at the northwestern Indian Ocean (Heidarzadeh et al., 2008)

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Journal of the Persian Gulf (Marine Science)/Vol .6/No .22/December 2015/13/35-48

37

Few references based on historical reports

document that quite a number of tsunamis have

occurred associated with different sources until 1945

A.D. in the MSZ. Heck (1947) provides a list of

global tsunamis generated from 479 B.C. to 1946

A.D., some of which were related to tsunami

occurrences in the Arabian Sea and adjacent regions.

Berninghausen (1966) presents another list of tsunami

events including three from the West coast of India

and the Arabian Sea. As an important tsunami

resource, Page (1979) describes existing evidence for

the recurrence of large-magnitude earthquakes along

the MSZ and predicts that the 1945-type earthquakes

can occur with a return period of about 150 to 250

years within the Eastern Makran. Ambraseys and

Melville (1982) submitted the results of studies related

to the historical earthquakes inside Iran. Another list

compiled by Murty and Rafiq (1991) used a variety of

sources in the Indian Ocean region from 326 B.C. to

1974 A.D., as well as Byrne et al. (1992), which

treated great thrust earthquakes along the plate

boundary of the MSZ. The threshold tsunami

generation potential of the region was studied by

Pararas-Carayannis (2006) along the MSZ.

The results of recent studies carried out based on

thermal modeling of the MSZ by Smith et al (2013),

shows that past assumptions may have significantly

underestimated the earthquake and tsunami hazard in

the MSZ; and it is potentially capable of producing

major earthquakes, up to Mw 8.7-9.2. Therefore, the

probability of recurrence of earthquake and tsunami

in the Makran zone is relatively high and the tsunami

can be considered as an obvious hazard for

neighbouring countries, like Iran and Oman.

Among the existing approaches to study tsunamis,

the use of Paleotsunami data, historical tsunami

records, online DART systems, local tide gages and

numerical modeling, using historical data and

numerical modeling due to being economically

advantageous are predominant to investigate tsunami

behaviour after occurrence. Numerical modeling of

tsunami in the MSZ provides insight into past events

and simulates possible future scenarios. Recently,

some numerical works have established in the MSZ to

study the generation and propagation of the tsunami

waves (Heidarzadeh et al., 2009; Heidarzadeh and

Kijko, 2011). In particular, the determination of the

potential run-up values and areas prone to inundation

via numerical modeling from a local or distant tsunami

is recognized useful, since data from past events is

usually insufficient (Rafi and Mahmood 2010).

The Jask Port is one of the most important coastal

areas of Iran, regarding its resident population and

strategic situation. It is located at the west of Makran

zone and can be affected by possible tsunamis. In

recent years, within the national development plans

of Iran, major ongoing port construction activities

have been undertaken for expansion of the Jask Port

as a portal on the transit corridor. Hence, the tsunami

hazard assessment is important in this region for

future development. In order to assess tsunami

hazard, the impact and run-up of the MSZ seismic

tsunamis on the Jask Port is simulated in this study.

However, the certainty of tsunami occurrence is

undeniable in the MSZ, and therefore, any

substantial investment in the development of the port

facilities is contingent upon a thorough investigation

of potential tsunami impacts.

The current study present the results of the

performed numerical modeling of tsunami propagation

as well as coastal zone inundation around the Jask due

to proximity to the MSZ based on evaluating three

plausible tsunami scenarios of varying consequences.

In the defined scenarios for tsunami modeling,

earthquakes having moment magnitude of 9.1Mw

and 8.7Mw are considered; which are equivalent to

the rupture of about full and half length of the plate

boundary in the MSZ. For this purpose, the open

source numerical model, GEOWAVE is applied as a

comprehensive numerical model. GEOWAVE is a

combination of TOPICS and FUNWAVE models, in

which the tsunami generation is simulated by

TOPICS and then tsunami propagation and run-up

are simulated by FUNWAVE. Unlike previous

simulations of Makran tsunamis (Rajendran et al,

2008; Neetu et al., 2011), containing just one large-

scale global model, in this study one high resolution

local model is defined around the Jask Port in order

to capture tsunami run up accurately.

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Akbarpour Jannat and Rastgoftar / Numerical Modeling of Tsunami Waves Associated…

38

2. Numerical Model

Numerical modeling is an impressive approach to

studying the events of tsunami, particularly for the

future hazards. Numerical modeling of seismically

induced tsunamis may be organized into the following

three phases: generation, propagation and run-up

(inundation). The generation phase involves modeling

an underwater earthquake source and translates its

effects into an initial free surface water-level

displacement and an associated velocity field. The

second phase consists of propagating the generated

tsunami across Deep Ocean/Sea. Finally, inundation

associated with the run-up phase simulates the shallow

ocean zone behaviour of the tsunami in order to predict

coastal flooding and inundation. The interaction

between the waves and the shoreline is considered for

calculating wave propagation over dry land.

The achievement of tsunami studies depends on

the combination of precise tsunami sources, an

advanced tsunami propagation and finally inundation

model. As yet, many numerical models have been

modified or lately developed to impressively and

carefully study the generation, propagation, run-up

and inundation of tsunami. In this study, one of the

tsunami models, GEOWAVE, is adopted to study the

generation, propagation and inundation of potential

tsunami generated from MSZ. GEOWAVE is formed

by merging the Tsunami Open and Progressive Initial

Conditions System (TOPICS) with the Fully Nonlinear

Boussinesq water wave model FUNWAVE. An

accurate run-up and inundation by using a slot

method and wave breaking with a dissipative

breaking model were implemented in the model.

This model has capability of simulation of the whole

life range of tsunami from generation, propagation

till inundation. This model has been validated with

analytical solutions and experimental studies (Wei

and Kirby 1995; Wei et al. 1995; Chen et al. 2000;

Kennedy et al. 2000), and also benchmark problems

related to several historical events including the 1946

Unimak, Alaska; the 1946 Skagway, Alaska and the

1998 Papua New Guinea (Watts et al., 1999;Watts et

al. 2003, 2005; Waythomas and Watts 2003; Day et

al. 2005; Ioualalen et al. 2006; Grilli et al. 2007) and

indicated satisfactory achievements in comparison

with either field or satellite observations and tidal

gauge measurements. Figure 2 shows the global and

local domain of tsunami modeling. The data of the

Makran 1945 tsunami event authorize us to validate

the numerical model of the tsunami propagation.

Because of the lack of persistent sea-level

measurements of the tsunami, the sea-level

observations of the Makran 1945 tsunami from the

tide gauge at Karachi in Pakistan is persumed for

numerical model validation. The maximum wave

height of tsunami recorded at Karachi was 44 cm in

which compatible with the existent numerical model

that calculated 50 cm wave height at the same station.

Compatible with the reports by Neetu et al. (2011) and

Rajendran et al. (2008), the present model result

indicates the wave height of 250 cm in Pasni.

Fig. 2: Bathymetry of studying domains for Global (a) and Local (b) models

56 E 58 E 60 E 62 E 64 E 66 E 68 E

22 N

24 N

26 N

28 N-4500-4000-3500-3000-2500-2000-1500-1000-500 0 50010001500200025003000

57.6 57.7 57.8 57.9 58

25.3

25.4

25.5

25.6

25.7

-500

-400

-300

-200

-100

010

0

20

0

30

0

40

0

50

0

60

0

70

0

80

0

90

0

10

00

(a) (b)

-4.5 -4 -3.5 -3 -2.5 -2 -1.5 -1 -0.5 0 0.5 1 1.5 2 2.5 3 -1000 -800 -600 -400 -200 0 200 400

Bathymetry (km) Bathymetry (m)

Jask

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Journal of the Persian Gulf (Marine Science)/Vol .6/No .22/December 2015/13/35-48

39

2.1. Model Grids

According to the long wavelength of tsunami waves,

especially in deep water which is usually in order of

tens of kilometers, generation and propagation of

waves can be simulated based on coarse hydrographic

data, typically in the order of kilometers; but accurate

calculation of tsunami run-up requires much finer

topography and hydrographic data since the behaviour

of tsunami waves strongly depends on the bathymetric

and topographic features near the coastal area.

The present numerical modeling is performed in

two distinguished grids of bathymetric and

topographic data; The global type grid (refers to

global model) which covers the entire region of

Oman Sea where the fault plane is located, with 1-

minute grid resolution, and the local type grid (refers

to local model) covers the entire Jask port and its

surrounding areas with 90 m grid resolution. The

high resolution bathymetric and topographical data

was achieved from Community Model Interface for

Tsunami (ComMIT) database which is approved by

NOAA, and used to obtain the applicable details of

run-up and inundation in the Jask area for possible

tsunami events. The initial wave of tsunami is

generated in the global model and then it propagates

from MSZ to the coastlines. The local model used

when the waves reach to areas that have high

significance for calculation of tsunami run-up. When

the waves enter to the vicinity of local models, the

global model is stopped and the local model is

begun. Free surface elevation and water velocities

which are achieved at the final time step of global

model, are constrained to the local model as the

initial conditions.

2.2. Governing Equations

According to the Wei et al. (1995), the fully

nonlinear Boussinesq equations with considering

breaking, bottom friction and shoreline moving

boundary effects have been applied in this study. The

governing volume conservation and momentum

equations are as follows,

(1)

( ) (2)

in which ( ) is water surface elevation, h(x,

y) is the local mean water depth; is horizontal

gradient and M is depth-integrated horizontal volume

flux which is given by Eq. (3).

In Eq.(3), is horizontal velocity at an elevation

taken to be = −0.531h. Eq.(4) and Eq.(5)

represent dispersive effects, and . The forces

related to the wave breaking and bottom friction are

explained by and respectively. A and B are

functions of velocity given as Eq. (6) and Eq. (7).

(Grilli et al., 2007; Kennedy et al., 2000)

(3)

(4)

(5)

. (6)

. ( ) (7)

For moving boundary condition in the shoreline, a

porous slot method was implemented by inserting

factors and as follows;

(8)

(9)

Here, is the slot layer depth which must be

deeper than the depth of maximum wave rundown

during a simulation. The selection of is explained

by Kennedy et al. (2000). According to the number

of tsunami run-up events investigated by Watts et al.

(2003), Day et al. (2005) and Grilli et al. (2007),

Μ = uα + α

2

2

1

6(h2 h + 2) hA + α +

1

2(h ) hB

V1 = α

2

2 hAt + α hBt h

2

2At + Bt

V2 = ( α )(uα . ) +1

2( α

2 2)(uα . )

+1

2 ( + )2

= 1 . ≥

𝛿 + (1 𝛿)𝑒𝜆( )/ 0 . ≤

= ( ) + 𝛿( + 0) +

(1 𝛿) 0

𝜆 1 𝑒 𝜆(1+ 0 ) . ≥

𝛿( + 0) +(1 𝛿) 0

𝜆𝑒𝜆(

) 0 1 𝑒 𝜆(1+ 0 ) . ≤

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Akbarpour Jannat and Rastgoftar / Numerical Modeling of Tsunami Waves Associated…

40

parameter values =0.08 and =25 are used for run-

up calculation.

The major advantage of a Boussinesq wave

propagation model over nonlinear shallow water

wave model is considering the horizontal velocities

and also vertical acceleration variations along depth

(Watts et al., 2003). Moreover, the equations include

eddy viscosity terms to model the dissipation caused

by wave breaking.

3. Tsunami Simulation for Different Scenario

Magnitudes

3.1. Earthquake Scenario

Earthquake scenarios (magnitude and source zone)

must be defined for any tsunami simulations. For the

9.1Mw earthquake, the MSZ should experience the

full rupture to obtain relevant seismic moment; while

in order to produce the moment magnitude of 8.7Mw

about half of the plate boundary should be faulted. In

the latter case, the western or eastern part of the MSZ

can be faulted, according to the earthquake epicenter.

Since estimation of future earthquake place is

impossible, the 8.7Mw earthquake is considered in

intended scenarios both at the western and eastern

segments of the MSZ. So, for modeling of Makran

tsunamis three scenarios are considered totally, as

presented in Table 1. In each scenario the source

parameters, defining dimensions of faulted area, are

estimated using empirical relationships presented by

Wells and Coppersmith (1994) based on source

parameters of 244 historical earthquakes. After initial

estimation, the source parameters are modified

slightly to satisfy the relation between moment

magnitude and seismic moment (Eqs. 10 and 11).

(10)

(11)

Where Mw is moment magnitude (dimensionless

number), M0 is seismic moment in N m, is rigidity

of the earth (assumed 3×1010 Nm-2), L and W are

fault length and width respectively and is the

displacement on the fault surface.

3.2 Source Models

The determined source parameters are inserted to

TOPICS, tsunami generator model of GEOWAVE, and

it calculates initial disturbance of ocean surface using

Okada's elastic deformation source model (Okada,

1985). Calculated free surface elevations actually are

seabed vertical displacements transferred to ocean

surface identically, because of instantaneous generation

of seismic tsunamis. As expected, maximum values of

the initial wave crest and trough are observed during

scenario 1 in which the 9.1Mw earthquake leads to

about +8m uplift and -6m subsidence of the ocean

surface (Fig.3a). Due to variation of the fault strike

between western and eastern part of the MSZ (Byrne et

al, 1992), the full rupture of the MSZ in scenario 1 is

divided to two separated segments.

Table 1: Characteristics and source parameters of scenarios for MSZ earthquakes

Scenario

number

Earthquake moment

magnitude

Faulted area Source parameters

Fault length (km) Fault width

(km)

Fault displacement

(m)

1 9.1 All part of the MSZ 900 70 25

2 8.7 Western part of the MSZ 500 50 14

3 8.7 Eastern part of the MSZ 500 50 14

6)(

3

2010w MLogM

LWM 0

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Journal of the Persian Gulf (Marine Science)/Vol .6/No .22/December 2015/13/35-48

41

Fig. 3: Snapshots of global tsunami simulations at times t = 0, 6, 12 and 18 min after the earthquake due to the Mw 9.1 magnitude

3.3. Global Model

Free surface elevations obtained from TOPICS

feature initial wave of tsunami and provide initial

condition of the tsunami propagation model,

FUNWAVE; which is based on fully nonlinear

Boussinesq equations developed by Wei et al. (1995).

The major advantage of a Boussinesq wave

propagation model over nonlinear shallow water wave

models is that horizontal velocity variations along depth

and also vertical acceleration are considered (Watts et

al., 2003). Moreover, FUNWAVE equations include

eddy viscosity terms to model the dissipation caused by

wave breaking. The governing equations are solved

first at global model grid points having 1-arc min

resolution. Thus, the propagation of tsunami waves

from source to near the coasts is simulated, as

illustrated in Fig. 3. It is observed that the tsunami

waves dissipate firstly, at the beginning of propagation;

but they amplify again approaching the coast due to

water depth reduction and shoaling effect. The waves

propagate perpendicular to the faulted area mainly in

the north-south direction, unlike landslide tsunamis

propagate radial and identically in all directions

(Soltanpour and Rastgoftar, 2011). Figure 3 also shows

that along the coastlines locating north of the MSZ

falling water is first observed and then main waves of

tsunami arrive; while southern coastlines of the MSZ,

like Oman, first receive tsunami positive waves.

3.4. Local Model

Free surface elevation and water horizontal

velocities of global model are transferred to the local

model as the initial conditions (Fig. 4). It should be

noted that the initial conditions of global model also

include water velocities, but they are set to zero;

because no initial velocities are assume for the

58 E 60 E 62 E 64 E 66 E 68 E

22 N

24 N

26 N

28 N

58 E 60 E 62 E 64 E 66 E 68 E

22 N

24 N

26 N

28 N

58 E 60 E 62 E 64 E 66 E 68 E

22 N

24 N

26 N

28 N

58 E 60 E 62 E 64 E 66 E 68 E

22 N

24 N

26 N

28 N

t=0 t=6min

t=12min t=18min

(a) (b)

(c) (d)

-6 -4 -2 0 2 4 6 8 10 12 14

Free Surface Elevation (m)

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Akbarpour Jannat and Rastgoftar / Numerical Modeling of Tsunami Waves Associated…

42

earthquake tsunamis.

After providing the required initial conditions, the

Boussinesq equations of FUNWAVE are solved at

this time in the local model domain. The total

number of grid points in the local model area is

554,238 (751×738) according to 3-arc sec (about 90

m) bathymetric data extracted from ComMIT model

data bank. The time step of the local model is

determined 0.23 s to satisfy the stability conditions; it

is clear that the global model has greater time step

(2.43 s) according to larger mesh size. Finally, the free

surface elevation and horizontal velocities are

calculated for all time steps and the run-up of tsunami

on coasts of the Jask Port is computed (Fig. 5).

Fig. 4: Local model initial conditions for scenario-1; (a) free surface elevation, (b) longitudinal velocity and (c) latitudinal velocity

Fig. 5: Tsunami induced inundation at Jask coasts for scenario-1 at times t= 18, 20, 22, 24, 26 and 28 min after the earthquake

57.6 57.7 57.8 57.9 58.0

25.25

25.35

25.45

25.55

25.65

25.75

57.6 57.7 57.8 57.9 58.0

25.25

25.35

25.45

25.55

25.65

25.75

-0.2 0 0.2 0.4 0.6 0.8 1 1.2

57.6 57.7 57.8 57.9 58.0

25.3

25.4

25.5

25.6

25.7

-2 -1 0 1 2 3 4 5 -0.8 -0.4 0 0.4 0.8 1.2 1.6 2 2.4

Free Surface Elevation (m) U Velocity (m/s) V Velocity (m/s)

(c)(b)(a)

25.6

25.7

57.7 57.8 57.9

25.6

25.7

57.7 57.8 57.9 57.7 57.8 57.9

t=18min t=20min t=22min

t=24min t=26min t=28min

-10 -8 -6 -4 -2 0 2 4 6 8 10 12 14 16 18 20 22 24 26

Free Surface Elevation (m)

(a) (b) (c)

(d) (e) (f)

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4. Results and Discussion

Three virtual gauges were deployed along the Jask

Port coastline to extract the time series of tsunami.

The location and water depth of the gauges are

presented in Table 2. The gauge 'H' located at western

coast of the port around the harbor, while the gauges

'S' and 'A' are at the eastern coast near the soccer

stadium and the airport, respectively (Fig. 6). Figure 7

shows the wave heights time series extracted during

the scenarios 1 and 2; while the time series of the

scenario 3 are presented in Fig. 8.

Table 2: Locations of virtual tidal gauges

Gauge No. Longitude (°E) Latitude (°N) Depth (m)

A 57.8000 25.6516 0.5

H 57.7672 25.6460 0.6

S 57.7720 25.6439 0.7

Fig. 6: Location of virtual tide gauges 'A', 'H' and 'S' for wave height time series analysis (filled circles)

Fig. 7: Modeled time series of water surface elevations at various locations along the Jask coast for the Mw 9.1 (solid line) and the Mw

8.7 western Makran (dashed line) tsunamis

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Akbarpour Jannat and Rastgoftar / Numerical Modeling of Tsunami Waves Associated…

44

Fig. 8: Modeled time series of water surface elevations at various locations along the Jask coast for the Mw 8.7 eastern Makran tsunami

Figures 7 and 8 demonstrate, as expected, the

maximum wave heights are observed in scenario 1 that

represents the largest earthquake. During scenario 3

tsunami waves appear at all the gauges much smaller

than two other scenarios. For example, the gauge 'S' has

recorded about 14 and 10-meter height waves in

scenario 1 and 2, respectively; but in scenario 3 the

maximum wave height observed in this gauge is less

than 0.4 meter. The reason is that when earthquake

occurs at the eastern part of the MSZ, the tsunami

waves reaches slightly along the western coasts of the

Makran zone, like Jask Port; because the tsunamis

caused by earthquakes spread perpendicular to the

source fault in the north-south direction in the MSZ.

Figure 7 reveals that in scenarios 1 and 2 the time

between earthquake occurrence and arrival of tsunami

waves is about 20 minutes. This shortness of time

makes the tsunami warning process for the Jask Port

very difficult. On the other hand, the negative wave of

tsunami is first observed along the Jask Port coastline

and the sea bottom becomes visible at shallow areas

when the negative wave height is more than the water

depth. This situation can be seen in Fig. 7 where there

are no data displayed, mostly at the beginning of the

time series. Residents of the port can use this natural

warning sign and be aware of the event before arrival

of the destructive waves. The figure also shows the

gauges 'S' and 'A' have recorded the waves having

approximately the same height, whereas the gauge 'H'

has experienced waves with smaller heights. This can

be attributed to the location of gauge 'H' that is at the

western coast of the port and so receives the diffracted

tsunami waves.

Maximum tsunami heights recorded during

scenarios 1 and 3 are presented in Fig. 9. This figure

also displays the tsunami inundation extent for all the

scenarios (The tsunami inundation in scenario 2 has

been specified by bold line). It is observed that the

waves due to the 8.7Mw eastern Makran earthquake

(scenario 3) cannot run-up on the Jask Port at all.

However, the waves caused by the 9.1Mw earthquake

(scenario 1) and the 8.7Mw western Makran

earthquake (scenario 2), not only inundate the port

completely, but also capture on farther inland areas.

Therefore, it can be concluded that the most crucial

factor determines the tsunami risk in the Jask Port is

the location of the Makran earthquakes. In the other

words, the huge earthquakes occur at east of the

MSZ can be considered as small hazard for the Jask

Port, while the occurrence of earthquakes having less

magnitudes at west of the MSZ leads to the high

waves devastate the port seriously. While it was

previously thought that the tsunami effect depends

essentially on the earthquake magnitude. According

to Fig. 9, the inundation extent of tsunami is a

function of the maximum tsunami height. In scenario

3, where no inundation takes place, the maximum

water level around the coastline of the Jask Port is

less than 1m; whereas it is between 10 m and 15 m in

scenario 1. Although the most coastal areas around the Jask

Port are inundated by the tsunami waves in scenarios

1 and 2, but there are regions where are safe against

the tsunami waves. These regions are shown by circle

in Fig. 9. As adjacent areas of the Jask Port are

considered for development in future plans of the

Makran zone, the estimated safe regions seem

advisable regarding to tsunami threat.

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Fig. 9: Maximum computed free surface elevation in the studying domain produced by (a) Mw 9.1 and (b) Mw 8.7 eastern Makran

earthquakes. Bold line represents the inundation line of Mw 8.7 western Makran earthquakes. The circles mark the regions are safe

against the tsunami waves

5. Conclusions

Largest possible earthquakes of the MSZ were

simulated to investigate tsunami hazards on the Jask

Port. The 9.1Mw and 8.7Mw earthquakes, featuring

respectively the rupture of about full and half length

of the MSZ's plate boundary, were assumed in defined

scenarios. The smaller earthquake was considered

both at the western and eastern segments of the MSZ.

GEOWAVE numerical model was employed to

simulate tsunami generation, propagation and

inundation. Unlike previous studies, containing just

one large-scale global model, in this study a small-

scale local model was also defined based on 3-arc

sec resolution bathymetry data, in order to capture

tsunami run-up on the Jask Port.

The results show that during critical tsunamis

there is a short time between earthquake occurrence

and arrival of tsunami waves (about 20 minutes).

But, along the coastlines locating north of the MSZ,

like the Jask Port, falling water of tsunami was first

observed. Residents of the Jask Port can use this

natural warning sign and vacate the port before

arrival of the destructive waves.

Model results also reveal that due to the 9.1Mw

earthquake and the 8.7Mw western Makran earthquake

the most coastal areas around the Jask Port are

inundated by the tsunami waves. However, the

tsunami run-up is not observed at all when the

8.7Mw earthquake occurs at the eastern segment of

the MSZ. When 8.7Mw eastern Makran earthquake

occurs, the tsunami waves reach slightly along

western coasts of Makran zone; because seismic

tsunamis propagate perpendicular to the source fault,

in north-south direction in the MSZ. Therefore,

unlike previously thought, the tsunami risk at the

Jask Port depends more on the location of focal

points MSZ earthquakes than their magnitudes.

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