Instability and Dispersivity of Wave Propagation in Inelastic Saturated/Unsaturated Porous Media

LI Xi-kui; ZHANG Jun-bo; ZHANG Hong-wu

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Article Navigation > Applied Mathematics and Mechanics > 2002 > 23(1): 31-46

LI Xi-kui, ZHANG Jun-bo, ZHANG Hong-wu. Instability and Dispersivity of Wave Propagation in Inelastic Saturated/Unsaturated Porous Media[J]. Applied Mathematics and Mechanics, 2002, 23(1): 31-46.

Citation:

LI Xi-kui, ZHANG Jun-bo, ZHANG Hong-wu. Instability and Dispersivity of Wave Propagation in Inelastic Saturated/Unsaturated Porous Media[J]. Applied Mathematics and Mechanics, 2002, 23(1): 31-46.

Citation:

LI Xi-kui, ZHANG Jun-bo, ZHANG Hong-wu. Instability and Dispersivity of Wave Propagation in Inelastic Saturated/Unsaturated Porous Media[J]. Applied Mathematics and Mechanics, 2002, 23(1): 31-46.

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Instability and Dispersivity of Wave Propagation in Inelastic Saturated/Unsaturated Porous Media

State Key Laboratory for Structural Analysis of Industrial Equipment, Dalian University of Technology, Dalian 116024, P R China

Received Date: 2000-07-27
Rev Recd Date: 2001-10-09
Publish Date: 2002-01-15

Abstract

Abstract

A model based on the Biot theory for simulating coupled hydro-dynamic behavior in saturated-unsaturated porous media was utilized with integration of the inertial coupling effect between the solid-fluid phases of the media into the model.Stationary instability and dispersivity of wave propagation in the media in one-dimensional problem were analyzed.The effects of the following factors on stationary instability and dispersivity were discussed.They are the viscous and inertial couplings between the solid and the fluid phases,compressibility of the mixture composed of solid grains and pore fluid,the degree of saturation,visco-plastic(rate dependent inelastic)constitutive behavior of the solid skeleton under high strain rate.The results and conclusion obtained by the present work will provide some bases or clues for overcoming the difficulties in numerical modelling of wave propagation in the media subjected to strong and shock loading.
- porous media,
- wave propagation,
- visco-elastoplasticity,
- material stability,
- dispersivity,
- hydro-dynamic coupling

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References(24)

References

[1]	Hil1R.Accelerationwavesinsolids[J].Journal of the Mechanics and Physics of Solids,1962,10(1):1-16.
[2]	BazantZP, Belytschko TB.Wave propagation in a strain softening bar:axact solution[J].ASCEJournal of Engineering Mechanics, 1985,111(3):381-389.
[3]	Sluys L J, Muhlhaus H B, Borst Rde.Wave propagation, localization and dispersion in a gradient-dependent medimn[J].Int J Solids Structures, 1992,30(9): 1153-1171.
[4]	Sluys L J, Wave propagation, localization and dispersion in softening solids.Dissertation[D].Delft University of Technology, Delft,1992.
[5]	Rudnicki K, Rice J R.Conditions for the loralization of deformation in pressure-Sensitive dilatant materials[J].Journal of the Mechanics and Physics of Solids,1975,23:371-394.
[6]	Rice JR.On the stability of dilatant hardening for satutated rock masses[J].Journal of G-eophysical Research, 1975,80:1531-1536.
[7]	LoretB, PrevostJH.Dynamic strain localization in fluid-satturatec porous media[J].Journal of Engineering Mechancis, 1991,117(4):907-922.
[8]	Pietrusacaak S.Undrained response of granular soil involving localized deformation[J].Journal of Engineering Mechanics, 1995,121(12): 1292-1297.
[9]	Gajo A.The effects of inertial coupling in the intetpretation of dynamic soil tests[J].Geotechnique,1996,46(2): 245-257.
[10]	Runesson K, Peric D.Effect of pore fluid compressibility on localization in elastic-plastic porous solids under undrained conditions[J].Int J Solids Structures, 1996,33(10): 1501-1518.
[11]	Biot M A.Theory of three-dimnensional consolidation[J].JApplied Physics,1941,12:155-164.
[12]	Biot M A.Theory of propagation of elastic waves in a fluid-satutated porous solid.Ⅰ.Low-frequencyrange[J].The Journal of the Acoustical Society of America, 1956,28(2): 168-178.
[13]	Biot M A.Theory of propagation of elastic waves in a fluid-saturated porous solid, II Higher frequency range[J].Tne Journal of the Acoustical Society of America, 1956,28(2): 179-191.
[14]	ZienkiewiczOC, Shomi T.Dynamic behavior of satutated porous media: the generalized Biot formulation and its numerical solution[J].Int J Numerical and Analytical Methods in Geo-Mechanics, 1984,8(1): 71-96.
[15]	LI Xi-kui, Zienkiewica O C, XIE Y M.A nmnerical model for immiscible two-phase fluid flow in a porous medium and its time domain solution[J].Int J Numer Methods Eng, 1990, 30(6): 1195-1212.
[16]	LI Xi-kui, Zienkiewicz O C.Multiphase flow in deforming porous media and finite elernent soluttion[J].Computers & Structures, 1992,45(2):211-227.
[17]	Lewis R W, Schrefler B A.The Finite Element Method in the Static and Dynamic Deformation and Consolidation of Porous Media[M].England: John Wiley & Sons Ltd, 1998.
[18]	Lewis R W, Sukirman Y.Finite element modelling for simulating the surface subsidence above acompacting hyddrocarbon reservoir[J].Int J Numerical and Analytical Methods in Geo-Mechanics,1994,18: 619-639.
[19]	Meroi E A, Schrefler B A.Large strain static and dynamic semi-saturated solild behavior[J].Int JNumerical and Analytical Methods in Geo-,ecjamocs in Geo-mechanics, 1995,19:81-106.
[20]	LIXi-kui, Thomas H R, Fan YQ.Finite element methoc and comstitutive modelling and computationfor unsaturated soils[J].Computer Methods in Applied Mechanics and Eng,1999,169(1～2):135-159.
[21]	AlonsoEE, GensA, JosaA.A constitutive model forpartially satutatedsoils[J].Geotechnique,1990,40(3):405-430.
[22]	Zienkiewicz O C, TaylorR.The Finite Element Method,Vol.2[M].England: Butterworth-Heinemann,2000.
[23]	Duxbury P G, LI Xi-kui.Development of elasto-plastic material models in a natural co-ordinate system[J].C omputer Methods in Appplied Mechanics and Eng, 1996,135(3～4):283-306.
[24]	LI Xi-kui, Cescotto S.A mixed eleement method in gradient plasticity for pressure dependent Materials and modelling of strain localization[J].Computer Methods in Applied Mechancis and Engineering, 1997,144(3～4):287-305.