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2013 | OriginalPaper | Chapter

5. Wave-Induced Seabed Response in Non-homogeneous Anisotropic Seabed

Author : Dong-Sheng Jeng

Published in: Porous Models for Wave-seabed Interactions

Publisher: Springer Berlin Heidelberg

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Abstract

In a natural seabed, the soil properties is complicated, which normally vary with soil depth, change of temperature, and geographic characteristics. Furthermore, anisotropic soil behavior is commonly observed in marine sediments. However, most previous studies have been limited to the case of isotropic seabed with uniform soil characteristics. This chapter consists of three major components: (i) analytical solutions for a seabed with variable permeability; (ii) analytical solution for a cross-isotropic seabed; and (iii) numerical model for a non-homogeneous seabed with cross-anisotropic soil behavior. With the newly analytical solutions and numerical model, effects of variable permeability and cross-isotropic soil behavior on the wave-induced seabed response were examined.

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Literature
1.
go back to reference Atkinson, J.H.: Anisotropic elastic deformation in laboratory tests on unsaturated London clay. Géotechnique 25(2), 357–374 (1975) CrossRef Atkinson, J.H.: Anisotropic elastic deformation in laboratory tests on unsaturated London clay. Géotechnique 25(2), 357–374 (1975) CrossRef
2.
go back to reference Barden, L.: Stresses and displacements in a cross-anisotropic soil. Géotechnique 13, 198–210 (1963) CrossRef Barden, L.: Stresses and displacements in a cross-anisotropic soil. Géotechnique 13, 198–210 (1963) CrossRef
3.
go back to reference Bennett, R.H., Fischer, K.M., Li, H., Lamber, D.H., Hulbert, M.H., Yamamoto, T., Badiey, M.: In-situ porosity and permeability of selected carbonate sediments: Great Bahama Bank. Part 2. Microfabric. Mar. Geotechnol. 9(1), 29–47 (1990) CrossRef Bennett, R.H., Fischer, K.M., Li, H., Lamber, D.H., Hulbert, M.H., Yamamoto, T., Badiey, M.: In-situ porosity and permeability of selected carbonate sediments: Great Bahama Bank. Part 2. Microfabric. Mar. Geotechnol. 9(1), 29–47 (1990) CrossRef
4.
go back to reference Bennett, R.H., Li, H., Lamber, D.H., Fischer, K.M., Walter, D.J., Hickox, C.E., Hulbert, M.H., Yamamoto, T., Badiey, M.: In-situ porosity and permeability of selected carbonate sediments: Great Bahama Bank. Part 1: Measurements. Mar. Geotechnol. 9(1), 1–28 (1990) CrossRef Bennett, R.H., Li, H., Lamber, D.H., Fischer, K.M., Walter, D.J., Hickox, C.E., Hulbert, M.H., Yamamoto, T., Badiey, M.: In-situ porosity and permeability of selected carbonate sediments: Great Bahama Bank. Part 1: Measurements. Mar. Geotechnol. 9(1), 1–28 (1990) CrossRef
5.
go back to reference Biot, M.A.: General theory of three-dimensional consolidation. J. Appl. Phys. 26(2), 155–164 (1941) CrossRef Biot, M.A.: General theory of three-dimensional consolidation. J. Appl. Phys. 26(2), 155–164 (1941) CrossRef
6.
go back to reference Bryant, W.R., Hottman, W., Trabant, P.: Permeability of unconsolidated and consolidated sediments, Gulf of Mexico. Mar. Geotechnol. 1(1), 1–14 (1975) CrossRef Bryant, W.R., Hottman, W., Trabant, P.: Permeability of unconsolidated and consolidated sediments, Gulf of Mexico. Mar. Geotechnol. 1(1), 1–14 (1975) CrossRef
7.
go back to reference Esrig, M.I., Kirby, R.C.: Implication of gas content for predicting the stability of submarine slopes. Mar. Geotechnol. 17, 58–67 (1977) Esrig, M.I., Kirby, R.C.: Implication of gas content for predicting the stability of submarine slopes. Mar. Geotechnol. 17, 58–67 (1977)
8.
go back to reference Gatmiri, B.: A simplified finite element analysis of wave-induced effective stress and pore pressures in permeable sea beds. Géotechnique 40(1), 15–30 (1990) CrossRef Gatmiri, B.: A simplified finite element analysis of wave-induced effective stress and pore pressures in permeable sea beds. Géotechnique 40(1), 15–30 (1990) CrossRef
9.
go back to reference Gatmiri, B.: Response of cross-anisotropic seabed to ocean waves. J. Geotech. Eng. 118(9), 1295–1314 (1992) CrossRef Gatmiri, B.: Response of cross-anisotropic seabed to ocean waves. J. Geotech. Eng. 118(9), 1295–1314 (1992) CrossRef
10.
go back to reference Gazetas, G.: Stresses and displacements in cross-anisotropic soils. J. Geotech. Eng. Div. 108(4), 532–553 (1982) Gazetas, G.: Stresses and displacements in cross-anisotropic soils. J. Geotech. Eng. Div. 108(4), 532–553 (1982)
11.
go back to reference Graham, J., Houlsby, G.T.: Anisotropic elasticity of a natural clay. Géotechnique 33(2), 165–180 (1983) CrossRef Graham, J., Houlsby, G.T.: Anisotropic elasticity of a natural clay. Géotechnique 33(2), 165–180 (1983) CrossRef
12.
go back to reference Hsu, J.R.C., Jeng, D.S.: Wave-induced soil response in an unsaturated anisotropic seabed of finite thickness. Int. J. Numer. Anal. Methods Geomech. 18(11), 785–807 (1994) CrossRef Hsu, J.R.C., Jeng, D.S.: Wave-induced soil response in an unsaturated anisotropic seabed of finite thickness. Int. J. Numer. Anal. Methods Geomech. 18(11), 785–807 (1994) CrossRef
13.
go back to reference Hsu, J.R.C., Jeng, D.S., Tsai, C.P.: Short-crested wave-induced soil response in a porous seabed of infinite thickness. Int. J. Numer. Anal. Methods Geomech. 17(8), 553–576 (1993) CrossRef Hsu, J.R.C., Jeng, D.S., Tsai, C.P.: Short-crested wave-induced soil response in a porous seabed of infinite thickness. Int. J. Numer. Anal. Methods Geomech. 17(8), 553–576 (1993) CrossRef
14.
go back to reference Jeng, D.S.: Wave-induced liquefaction potential in a cross-anisotropic seabed. J. Chin. Inst. Eng. 19(1), 59–70 (1996) CrossRef Jeng, D.S.: Wave-induced liquefaction potential in a cross-anisotropic seabed. J. Chin. Inst. Eng. 19(1), 59–70 (1996) CrossRef
15.
go back to reference Jeng, D.S.: Soil response in cross-anisotropic seabed due to standing waves. J. Geotech. Geoenviron. Eng. 123(1), 9–19 (1997) CrossRef Jeng, D.S.: Soil response in cross-anisotropic seabed due to standing waves. J. Geotech. Geoenviron. Eng. 123(1), 9–19 (1997) CrossRef
16.
go back to reference Jeng, D.S.: Wave-induced seabed instability in front of a breakwater. Ocean Eng. 24(10), 887–917 (1997) CrossRef Jeng, D.S.: Wave-induced seabed instability in front of a breakwater. Ocean Eng. 24(10), 887–917 (1997) CrossRef
17.
go back to reference Jeng, D.S.: Wave-induced seabed response in front of a breakwater. Ph.D. thesis, University of Western Australia (1997) Jeng, D.S.: Wave-induced seabed response in front of a breakwater. Ph.D. thesis, University of Western Australia (1997)
18.
go back to reference Jeng, D.S.: Effect of cross-anisotropic soil behaviour on the wave-induced seabed response. Géotechnique 48(4), 555–561 (1998) CrossRef Jeng, D.S.: Effect of cross-anisotropic soil behaviour on the wave-induced seabed response. Géotechnique 48(4), 555–561 (1998) CrossRef
19.
go back to reference Jeng, D.S.: Wave-induced seabed response in a cross-anisotropic seabed in front of a breakwater: An analytical solution. Ocean Eng. 25(1), 49–67 (1998) CrossRef Jeng, D.S.: Wave-induced seabed response in a cross-anisotropic seabed in front of a breakwater: An analytical solution. Ocean Eng. 25(1), 49–67 (1998) CrossRef
20.
go back to reference Jeng, D.S.: Mechanism of the wave-induced seabed response in the vicinity of a breakwater: A review. Ocean Eng. 28(5), 539–572 (2001) CrossRef Jeng, D.S.: Mechanism of the wave-induced seabed response in the vicinity of a breakwater: A review. Ocean Eng. 28(5), 539–572 (2001) CrossRef
21.
go back to reference Jeng, D.S., Hsu, J.R.C.: Wave-induced soil response in a nearly saturated seabed of finite thickness. Géotechnique 46(3), 427–440 (1996) CrossRef Jeng, D.S., Hsu, J.R.C.: Wave-induced soil response in a nearly saturated seabed of finite thickness. Géotechnique 46(3), 427–440 (1996) CrossRef
22.
go back to reference Jeng, D.S., Lin, Y.S.: Finite element modelling for water waves-soil interaction. Soil Dyn. Earthq. Eng. 15(5), 283–300 (1996) CrossRef Jeng, D.S., Lin, Y.S.: Finite element modelling for water waves-soil interaction. Soil Dyn. Earthq. Eng. 15(5), 283–300 (1996) CrossRef
23.
go back to reference Jeng, D.S., Lin, Y.S.: Poroelastic analysis for wave-seabed interaction problem. Comput. Geotech. 26(1), 43–64 (2000) CrossRef Jeng, D.S., Lin, Y.S.: Poroelastic analysis for wave-seabed interaction problem. Comput. Geotech. 26(1), 43–64 (2000) CrossRef
24.
go back to reference Jeng, D.S., Seymour, B.R.: Response in seabed of finite depth with variable permeability. J. Geotech. Geoenviron. Eng. 123(10), 902–911 (1997) CrossRef Jeng, D.S., Seymour, B.R.: Response in seabed of finite depth with variable permeability. J. Geotech. Geoenviron. Eng. 123(10), 902–911 (1997) CrossRef
25.
go back to reference Jeng, D.S., Seymour, B.R.: Short-crested wave-induced seabed response with variable permeability. J. Chin. Inst. Eng. 20(4), 377–388 (1997) CrossRef Jeng, D.S., Seymour, B.R.: Short-crested wave-induced seabed response with variable permeability. J. Chin. Inst. Eng. 20(4), 377–388 (1997) CrossRef
26.
go back to reference Jeng, D.S., Seymour, B.R.: Wave-induced pore pressure and effective stresses in a porous seabed with variable permeability. J. Offshore Mech. Arct. Eng. 119(4), 226–233 (1997) CrossRef Jeng, D.S., Seymour, B.R.: Wave-induced pore pressure and effective stresses in a porous seabed with variable permeability. J. Offshore Mech. Arct. Eng. 119(4), 226–233 (1997) CrossRef
27.
go back to reference Kirkgard, M.M., Lade, P.V.: Anisotropy of normally consolidated San Francisco bay mud. Geotech. Test. J. 14(3), 231–246 (1991) CrossRef Kirkgard, M.M., Lade, P.V.: Anisotropy of normally consolidated San Francisco bay mud. Geotech. Test. J. 14(3), 231–246 (1991) CrossRef
28.
go back to reference Koning, K.: Stress distribution in a homogeneous anisotropic elastic semi-infinite solid. In: Fourth International Conference of Soil Mechanics and Foundations Engineering, pp. 335–338 (1957) Koning, K.: Stress distribution in a homogeneous anisotropic elastic semi-infinite solid. In: Fourth International Conference of Soil Mechanics and Foundations Engineering, pp. 335–338 (1957)
29.
go back to reference Lin, Y.S., Jeng, D.S.: Short-crested wave-induced liquefaction in porous seabed. J. Geotech. Geoenviron. Eng. 126(5), 481–494 (2000) CrossRef Lin, Y.S., Jeng, D.S.: Short-crested wave-induced liquefaction in porous seabed. J. Geotech. Geoenviron. Eng. 126(5), 481–494 (2000) CrossRef
30.
go back to reference Madsen, O.S.: Wave-induced pore pressures and effective stresses in a porous bed. Géotechnique 28(4), 377–393 (1978) CrossRef Madsen, O.S.: Wave-induced pore pressures and effective stresses in a porous bed. Géotechnique 28(4), 377–393 (1978) CrossRef
31.
go back to reference Okusa, S.: Wave-induced stress in unsaturated submarine sediments. Géotechnique 35(4), 517–532 (1985) CrossRef Okusa, S.: Wave-induced stress in unsaturated submarine sediments. Géotechnique 35(4), 517–532 (1985) CrossRef
32.
go back to reference Pickering, D.J.: Anisotropic elastic parameters for soil. Géotechnique 20(3), 271–276 (1970) CrossRef Pickering, D.J.: Anisotropic elastic parameters for soil. Géotechnique 20(3), 271–276 (1970) CrossRef
33.
go back to reference Pietruszczak, S., Pande, G.N.: Constitutive relations for partially saturated soils containing gas inclusions. J. Geotech. Eng. 122(1), 50–59 (1996) CrossRef Pietruszczak, S., Pande, G.N.: Constitutive relations for partially saturated soils containing gas inclusions. J. Geotech. Eng. 122(1), 50–59 (1996) CrossRef
34.
go back to reference Rahman, M.S.: Wave-induced instability of seabed: Mechanism and conditions. Mar. Geotechnol. 10, 277–299 (1991) CrossRef Rahman, M.S.: Wave-induced instability of seabed: Mechanism and conditions. Mar. Geotechnol. 10, 277–299 (1991) CrossRef
35.
go back to reference Raman-Nair, W., Sabin, G.C.W.: Wave-induced failure of poro-plastic seabed slopes: A boundary element study. Proc. Inst. Civ. Eng. 2. Res. Theory 91, 771–794 (1991) CrossRef Raman-Nair, W., Sabin, G.C.W.: Wave-induced failure of poro-plastic seabed slopes: A boundary element study. Proc. Inst. Civ. Eng. 2. Res. Theory 91, 771–794 (1991) CrossRef
36.
go back to reference Rowe, P.W.: Measurement of the coefficient of consolidation of lacustrine clay. Géotechnique 9(3), 107–118 (1959) CrossRef Rowe, P.W.: Measurement of the coefficient of consolidation of lacustrine clay. Géotechnique 9(3), 107–118 (1959) CrossRef
37.
go back to reference Rowe, P.W.: The stress-dilatancy relation for static equilibrium of an assembly of particles in contact. Proc. R. Soc. A 269, 500–527 (1962) CrossRef Rowe, P.W.: The stress-dilatancy relation for static equilibrium of an assembly of particles in contact. Proc. R. Soc. A 269, 500–527 (1962) CrossRef
38.
go back to reference Samarasinghe, A.M., Huang, Y.H., Drnevich, V.P.: Permeability and consolidation of normal consolidated soils. J. Geotech. Eng. Div. 108(6), 835–849 (1982) Samarasinghe, A.M., Huang, Y.H., Drnevich, V.P.: Permeability and consolidation of normal consolidated soils. J. Geotech. Eng. Div. 108(6), 835–849 (1982)
39.
go back to reference Seymour, B.R., Jeng, D.S., Hsu, J.R.C.: Transient soil response in a porous seabed with variable permeability. Ocean Eng. 23(1), 27–46 (1996) CrossRef Seymour, B.R., Jeng, D.S., Hsu, J.R.C.: Transient soil response in a porous seabed with variable permeability. Ocean Eng. 23(1), 27–46 (1996) CrossRef
40.
go back to reference Seymour, B.R., Varley, E.: Exact solutions describing soliton-like interactions in a nondispersive medium. SIAM J. Appl. Math. 42(4), 804–821 (1982) CrossRef Seymour, B.R., Varley, E.: Exact solutions describing soliton-like interactions in a nondispersive medium. SIAM J. Appl. Math. 42(4), 804–821 (1982) CrossRef
41.
go back to reference Seymour, B.R., Varley, E.: Exact representations for acoustical waves when the sound speed varies in space and time. Stud. Appl. Math. 76, 1–35 (1987) Seymour, B.R., Varley, E.: Exact representations for acoustical waves when the sound speed varies in space and time. Stud. Appl. Math. 76, 1–35 (1987)
42.
go back to reference Silvester, R., Hsu, J.R.C.: Sines revisited. J. Waterw. Port Coast. Ocean Eng. 115(3), 327–344 (1989) CrossRef Silvester, R., Hsu, J.R.C.: Sines revisited. J. Waterw. Port Coast. Ocean Eng. 115(3), 327–344 (1989) CrossRef
43.
go back to reference Thomas, S.D.: A finite element model for the analysis of wave induced stresses, displacements and pore pressure in an unsaturated seabed. I: Theory. Comput. Geotech. 8(1), 1–38 (1989) CrossRef Thomas, S.D.: A finite element model for the analysis of wave induced stresses, displacements and pore pressure in an unsaturated seabed. I: Theory. Comput. Geotech. 8(1), 1–38 (1989) CrossRef
44.
go back to reference Thomas, S.D.: A finite element model for the analysis of wave induced stresses, displacements and pore pressure in an unsaturated seabed. II: Model verification. Comput. Geotech. 17(1), 107–132 (1995) CrossRef Thomas, S.D.: A finite element model for the analysis of wave induced stresses, displacements and pore pressure in an unsaturated seabed. II: Model verification. Comput. Geotech. 17(1), 107–132 (1995) CrossRef
45.
go back to reference Varley, E., Seymour, B.R.: Exact solution for large amplitude waves in dispersive and dissipative systems. Stud. Appl. Math. 72, 241–262 (1985) Varley, E., Seymour, B.R.: Exact solution for large amplitude waves in dispersive and dissipative systems. Stud. Appl. Math. 72, 241–262 (1985)
46.
go back to reference Varley, E., Seymour, B.R.: A method for obtaining exact solutions to partial differential equations with variable coefficients. Stud. Appl. Math. 78, 183–225 (1988) Varley, E., Seymour, B.R.: A method for obtaining exact solutions to partial differential equations with variable coefficients. Stud. Appl. Math. 78, 183–225 (1988)
47.
go back to reference Varley, E., Seymour, B.R.: Application of exact solutions to the Navier-Stokes equations: Free shear layers. J. Fluid Mech. 274, 267–291 (1995) CrossRef Varley, E., Seymour, B.R.: Application of exact solutions to the Navier-Stokes equations: Free shear layers. J. Fluid Mech. 274, 267–291 (1995) CrossRef
48.
go back to reference Wiendieck, K.: L’anisotropie des milieux pulvérulents et son influence sur les tassements. Publications Scientiques du Ministere de l’Air (1968) Wiendieck, K.: L’anisotropie des milieux pulvérulents et son influence sur les tassements. Publications Scientiques du Ministere de l’Air (1968)
49.
go back to reference Wolf, K.: Distribution of stress in a half plane and a half space of anisotropic material. Z. Angew. Math. Mech. 15, 249–254 (1945) CrossRef Wolf, K.: Distribution of stress in a half plane and a half space of anisotropic material. Z. Angew. Math. Mech. 15, 249–254 (1945) CrossRef
50.
go back to reference Yamada, Y., Ishihara, K.: Anisotropic deformation characteristics of sand under three dimensional stress conditions. Soil Found. 19(2), 79–94 (1979) CrossRef Yamada, Y., Ishihara, K.: Anisotropic deformation characteristics of sand under three dimensional stress conditions. Soil Found. 19(2), 79–94 (1979) CrossRef
51.
go back to reference Yamamoto, T., Koning, H., Sellmeijer, H., Hijum, E.V.: On the response of a poro-elastic bed to water waves. J. Fluid Mech. 87(1), 193–206 (1978) CrossRef Yamamoto, T., Koning, H., Sellmeijer, H., Hijum, E.V.: On the response of a poro-elastic bed to water waves. J. Fluid Mech. 87(1), 193–206 (1978) CrossRef
52.
go back to reference Zen, K., Yamazaki, H.: Mechanism of wave-induced liquefaction and densification in seabed. Soil Found. 30(4), 90–104 (1990) CrossRef Zen, K., Yamazaki, H.: Mechanism of wave-induced liquefaction and densification in seabed. Soil Found. 30(4), 90–104 (1990) CrossRef
53.
go back to reference Zienkiewicz, O.C., Taylor, R.L.: The Finite Element Method. McGraw-Hill, New York (1989) Zienkiewicz, O.C., Taylor, R.L.: The Finite Element Method. McGraw-Hill, New York (1989)
Metadata
Title
Wave-Induced Seabed Response in Non-homogeneous Anisotropic Seabed
Author
Dong-Sheng Jeng
Copyright Year
2013
Publisher
Springer Berlin Heidelberg
DOI
https://doi.org/10.1007/978-3-642-33593-8_5