Stochastic analysis of tsunami runup due to heterogeneous coseismic slip and dispersion

Journal of Geophysical Research: Oceans

Volumn 117, Issue 3, 2012, Pages

  Lovholt F ^a,b,c   Pedersen, G ^b,c   Bazin, S ^a,c   Kuhn D ^c,d   Bredesen, R E ^e   Harbitz, C ^a,b,c  

^a NORWEGIAN GEOTECHNICAL INSTITUTE   (Norway)

^b UNIVERSITY OF OSLO   (Norway)

^c International Center for Geohazards   (Norway)

^d NORSAR   (Norway)

^e SIMULA RESEARCH LABORATORY   (Norway)

Author keywords

[No Author keywords available]

Indexed keywords

HYDRODYNAMICS; STOCHASTIC SYSTEMS; TSUNAMIS;

COSEISMIC SLIPS; DIP ANGLE; DISLOCATION MODELS; ELASTIC DISLOCATION; FAULT GEOMETRY; FAULT PLANES; GRID RESOLUTION; HIGH VARIABILITY; HYDRODYNAMIC MODEL; HYDROSTATIC MODEL; MAXIMUM RUN-UP; MEAN VALUES; NEAR FIELDS; NEARSHORES; NONHYDROSTATIC EFFECT; PLANE WAVE PROPAGATION; RUPTURE DISTRIBUTION; SIMPLE STOCHASTIC; SLOPE CONFIGURATION; STOCHASTIC ANALYSIS; TSUNAMI GENERATION; TSUNAMI RUN UP; VOLTERRA;

STOCHASTIC MODELS;

COAST; COSEISMIC PROCESS; DEFORMATION MECHANISM; DISLOCATION; DISPERSION; ESTIMATION METHOD; GEOMETRY; HETEROGENEITY; HYDRODYNAMICS; MAGNITUDE; NEARSHORE ENVIRONMENT; NUMERICAL MODEL; SLIP; STOCHASTICITY; TSUNAMI;

EID: 84859465178     PISSN: None     EISSN: 21699291     Source Type: Journal    
DOI: 10.1029/2011JC007616     Document Type: Article

References (41)

1. Aki, K. (1967), Scaling law of seismic spectrum, J. Geophys. Res., 72(4), 1217-1231, doi:10.1029/JZ072i004p01217.
2. Blaser, L., F. Krüger, M. Ohrnberger, and F. Scherbaum (2010), Scaling relations of earthquake source parameter estimates with special focus on subduction environment, Bull. Seismol. Soc. Am., 100, 2914-2926, doi:10.1785/0120100111.
3. Blaser, L., M. Ohrnberger, C. Riggelsen, A. Babeyko, and F. Scherbaum (2011), Bayesian networks for tsunami early warning, Geophys. J. Int., 185(3), 1431-1443, doi:10.1111/j.1365-246X.2011.05020.x.
4. Bolshakova, A., and M. Nosov (2011), Parameters of tsunami source versus earthquake magnitude, Pure Appl. Geophys., 168, 2023-2031, doi:10.1007/s00024- 011-0285-3.
5. Carrier, G. F., and H. P. Greenspan (1958), Water waves of finite amplitude on a sloping beach, J. Fluid Mech., 4, 97-109, doi:10.1017/ S0022112058000331.
6. Didenkulova, I. (2009), New trends in the analytical theory of long sea wave runup, in Applied Wave Mathematics: Selected Topics in Solids, Fluids, and Mathematical Methods, edited by E. Quak and T. Soomere, pp. 265-296, Springer, Berlin, doi:10.1007/978-3-642-00585-5-14.
7. Gayer, G., S. Leschka, I. Nöhren, O. Larsen, and H. Günther (2010), Tsunami inundation modelling based on detailed roughness maps of densely populated areas, Nat. Hazards Earth Syst. Sci., 10, 1679-1687, doi:10.5194/nhess-10-1679-2010.
8. Geist, E. L. (2002), Complex earthquake rupture and local tsunamis, J. Geophys. Res., 107(B5), 2086, doi:10.1029/2000JB000139.
9. Geist, E. L., and R. Dmowska (1999), Local tsunamis and distributed slip at the source, Pure Appl. Geophys., 154, 485-512, doi:10.1007/ s000240050241. (Pubitemid 29494318)
10. Glimsdal, S., G. Pedersen, K. Atakan, C. Harbitz, H. P. Langtangen, and F. Løvholt (2006), Propagation of the Dec. 26, 2004 Indian Ocean tsunami: Effects of dispersion and source characteristics, Int. J. Fluid Mech. Res., 33(1), 15-43, doi:10.1615/InterJFluidMechRes.v33.i1.30. (Pubitemid 43787620)
11. Grue, J., E. N. Pelinovsky, D. Fructus, T. Talipova, and C. Kharif (2008), Formation of undular bores and solitary waves in the Strait of Malacca caused by the 26 December 2004 Indian Ocean tsunami, J. Geophys. Res., 113, C05008, doi:10.1029/2007JC004343.
12. Henry, C., and S. Das (2001), Aftershock zones of large shallow earthquakes: Fault dimensions, aftershock area expansion and scaling relations, Geophys. J. Int., 147, 272-293, doi:10.1046/j.1365-246X.2001.00522.x. (Pubitemid 33033742)
13. Imamura, F. (1996), Simulation of wave-packet propagation along sloping beach by TUNAMI-code, in Long-Wave Runup Models, edited by H. Yeh, P. L.-F. Liu, and C. Synolakis, pp. 231-241, World Sci., Singapore.
14. Kaijiura, K. (1963), The leading wave of a tsunami, Bull. Earthquake Res. Inst. Univ. Tokyo, 41, 535-571.
15. Kennedy, A. B., Q. Chen, J. T. Kirby, and R. A. Dalrymple (2000), Boussinesq modeling of wave transformation, breaking, and runup. I: 1D, J. Waterw. Port Coastal Ocean Eng., 126(1), 39-47, doi:10.1061/(ASCE) 0733-950X(2000)126:1(39). (Pubitemid 30138281)
16. Leonard, M. (2010), Earthquake fault scaling: Self-consistent relating of rupture length, width, average displacement, and moment release, Bull. Seismol. Soc. Am., 100, 1971-1988, doi:10.1785/0120090189.
17. LeVeque, R., and D. L. George (2008), High-resolution finite volume methods for the shallow water equations with bathymetry and dry states, in Advanced Numerical Models for Simulating Tsunami Waves and Runup, edited by P. L.-F. Liu, H. Yeh, and C. Synolakis, pp. 43-73, World Sci., Hackensack, N. J., doi:10.1142/9789812790910-0002.
18. Løvholt, F., and G. Pedersen (2008), Instabilities of Boussinesq models in non-uniform depth, Int. J. Numer. Methods Fluids, 61, 606-637, doi:10.1002/fld.1968.
19. Løvholt, F., H. Bungum, C. B. Harbitz, S. Glimsdal, C. D. Lindholm, and G. Pedersen (2006), Earthquake related tsunami hazard along the western coast of Thailand, Nat. Hazards Earth Syst. Sci., 6, 979-997, doi:10.5194/nhess-6-979-2006. (Pubitemid 44847159)
20. Lynett, P. (2006), Nearshore wave modeling with high-order Boussinesqtype equations, J. Waterw. Port. Coastal Ocean Eng., 132, 348-357, doi:10.1061/(ASCE)0733-950X(2006)132:5(348).
21. Lynett, P. J., T.-R. Wu, and P. L.-F. Liu (2002), Modeling wave runup with depth-integrated equations, Coastal Eng., 46, 89-107, doi:10.1016/ S0378-3839(02)00043-1. (Pubitemid 34829805)
22. Madsen, P. A., D. R. Fuhrman, and H. A. Schäffer (2008), On the solitary wave paradigm for tsunamis, J. Geophys. Res., 113, C12012, doi:10.1029/2008JC004932.
23. Mai, P. M., and G. C. Beroza (2000), Source scaling properties from finitefault rupture models, Bull. Seismol. Soc. Am., 90, 604-615, doi:10.1785/ 0119990126. (Pubitemid 30667218)
24. Mai, P. M., and G. C. Beroza (2002), A spatial random field model to characterize complexity in earthquake slip, J. Geophys. Res., 107(B11), 2308, doi:10.1029/2001JB000588.
25. McCloskey, J., A. Antonioli, A. Piatanesi, K. Sieh, S. Steacy, S. Nalbant, M. Cocco, C. Giunchi, J. D. Huang, and P. Dunlop (2007), Near-field propagation of tsunamis from megathrust earthquakes, Geophys. Res. Lett., 34, L14316, doi:10.1029/2007GL030494. (Pubitemid 47393974)
26. McCloskey, J., A. Antonioli, A. Piatanesi, K. Sieh, S. Steacy, S. Nalbant, M. Cocco, C. Giunchi, J. D. Huang, and P. Dunlop (2008), Tsunami threat in the Indian Ocean from a megathrust earthquake west of Sumatra, Earth Planet. Sci. Lett., 265, 61-81, doi:10.1016/j.epsl.2007.09.034. (Pubitemid 350227237)
27. Nwogu, O. (1993), Alternative form of Boussinesq equations for nearshore wave propagation, J. Waterw. Port Coastal Ocean Eng., 119(6), 618-638, doi:10.1061/(ASCE)0733-950X(1993)119:6(618). (Pubitemid 24430298)
28. Okada, Y. (1985), Surface deformation due to shear and tensile faults in a half-space, Bull. Seismol. Soc. Am., 75, 1135-1154.
29. Pedersen, G. (2001), A note on tsunami generation by earthquakes [online], Preprint Ser. Mech. Appl. Math., 4, 1-8. [available at http://www.duo. uio.no/sok/work.html?WORKID=126788]
30. Pedersen, G. (2008a), Modeling runup with depth integrated equation models, in Advanced Numerical Models for Simulating Tsunami Waves and Runup, edited by P. L.-F. Liu, H. Yeh, and C. Synolakis, pp. 3-41, World Sci., Hackensack, N. J., doi:10.1142/9789812790910-0001.
31. Pedersen, G. (2008b), A Lagrangian model applied to runup problems, in Advanced Numerical Models for Simulating Tsunami Waves and Runup, edited by P. L.-F. Liu, H. Yeh, and C. Synolakis, pp. 311-315, World Sci., Hackensack, N. J., doi:10.1142/9789812790910-0017.
32. Peregrine, D. H. (1967), Long waves on a beach, J. Fluid Mech., 27, 815-827, doi:10.1017/S0022112067002605.
33. Roth, M., and M. Korn (1993), Single scattering theory versus numerical modelling in 2-D random media, Geophys. J. Int., 112, 124-140, doi:10.1111/j.1365-246X.1993.tb01442.x. (Pubitemid 23388666)
34. Shuto, N. (1991), Numerical simulation of tsunamis-Its present and near future, Nat. Hazards, 4, 171-191, doi:10.1007/BF00162786.
35. Son, S., P. J. Lynett, and D.-H. Kim (2011), Nested and multi-physics modeling of tsunami evolution from generation to inundation, Ocean Modell., 38(1-2), 96-113, doi:10.1016/j.ocemod.2011.02.007.
36. Synolakis, C. E. (1987), The runup of solitary waves, J. Fluid Mech., 185, 523-545, doi:10.1017/S002211208700329X.
37. Titov, V. V., and C. E. Synolakis (1995), Modeling of breaking and non-breaking long-wave evolution and runup using VTCS-2, J. Waterw. Port Coastal Ocean Eng., 121(6), 308-316, doi:10.1061/(ASCE)0733- 950X(1995)121:6(308). (Pubitemid 26463828)
38. Titov, V. V., and C. E. Synolakis (1998), Numerical modeling of tidal wave runup, J. Waterw. Port Coastal Ocean Eng., 124(4), 157-171, doi:10.1061/(ASCE)0733-950X(1998)124:4(157). (Pubitemid 28425027)
39. Wang, X., and P. L.-F. Liu (2006), An analysis of 2004 Sumatra earthquake fault plate mechanisms and Indian Ocean tsunami, J. Hydraul. Res., 44 (2), 147-154, doi:10.1080/00221686.2006.9521671. (Pubitemid 43941942)
40. Wells, D. L., and K. J. Coppersmith (1994), New empirical relationships among magnitude, rupture length, rupture width, rupture area, and surface displacement, Bull. Seismol. Soc. Am., 84(4), 974-1002.
41. Zhou, H., C. W. Moore, Y. Wei, and V. V. Titov (2011), A nested-grid Boussinesq-type approach to modelling dispersive propagation and runup of landslide-generated tsunamis, Nat. Hazards Earth Syst. Sci., 11, 2677-2697, doi:10.5194/nhess-11-2677-2011.