Citation
van der Kogel, Hans (1977) Wave propagation in saturated porous media. Dissertation (Ph.D.), California Institute of Technology. http://resolver.caltech.edu/CaltechTHESIS:03052010152258919
Abstract
Wave propagation in saturated porous media is investigated in the framework of two models, a theoretical and an experimental one. The theoretical model has two phases, a fluid phase and a solid phase, both modeled as a continuum. The solid phase consists of incompressible grains forming a compressible skeleton. The fluid phase represents a compressible fluid located between the grains. Interactive forces, due to relative motion between the skeleton and the fluid are taken into account. Nonlinear balance laws and equations of state are formulated for plane waves. Linearization of the nonlinear balance laws yields a set of equations which in limiting cases reduce to wellknown results (e.g. consolidation equation, condition for fluidization). The harmonic solution of the linearized field equations contains two modes: one in which the phases move almost together (which is slightly damped) and one in which the phases move in opposite directions (which is highly damped). Solutions are presented in system form. Applying a step loading in the variables at the boundary generates, in general, two propagating discontinuities in the variables and these discontinuities decay as they propagate. If we assume that the parameters take "practical" values of wet sand then the jump in porepressure is always large with respect to the jump in effective pressure along the faster discontinuity propagating into a medium at rest, while velocity differences between the phases are generated if the densities of the phases are different. Nonlinear effects due to a nonlinear constitutive equation for the fluid oppose the decay of gradients in the variables along the faster propagating discontinuity. The influence of nonlinear convective terms can be neglected if the phase velocities are small with respect to the velocities of the discontinuities. The solution to the problem of reflection and refraction of a discontinuity propagating in a fluid and impinging on a twophase medium is presented. The theory is extended in multidimensions, in order to allow shear waves to propagate. The existence of non propagating discontinuities in dilatant shear is demonstrated. The experimental model consists of a disc configuration, dry and saturated. The interparticle stresses due to impact are visualized by a photoelastic technique and recorded by a highspeed camera. Changing stress patterns in the discs behind the wavefront are observed. In the dry case a wavefront emerges, behind which the particles are relatively well stressed, while no such definite stress front can be identified in the saturated case. Phase velocity differences occur and separation of particles was observed to take place due to indirect loading of the discs via the fluid.
Item Type:  Thesis (Dissertation (Ph.D.)) 

Subject Keywords:  Civil Engineering 
Degree Grantor:  California Institute of Technology 
Division:  Engineering and Applied Science 
Major Option:  Civil Engineering 
Thesis Availability:  Public (worldwide access) 
Research Advisor(s): 

Thesis Committee: 

Defense Date:  16 May 1977 
Record Number:  CaltechTHESIS:03052010152258919 
Persistent URL:  http://resolver.caltech.edu/CaltechTHESIS:03052010152258919 
Default Usage Policy:  No commercial reproduction, distribution, display or performance rights in this work are provided. 
ID Code:  5580 
Collection:  CaltechTHESIS 
Deposited By:  Tony Diaz 
Deposited On:  05 Mar 2010 23:40 
Last Modified:  26 Dec 2012 03:22 
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