Results 1 
8 of
8
The Elastic Coefficients of DoublePorosity Models for Fluid Transport in Jointed Rock
, 1995
"... Phenomenological equations (with coefficients to be determined by specified experiments) for the poroelastic behavior of a dual porosity medium are formulated and the coefficients in these linear equations are identified. The generalization from the single porosity case increases the number of indep ..."
Abstract

Cited by 22 (13 self)
 Add to MetaCart
Phenomenological equations (with coefficients to be determined by specified experiments) for the poroelastic behavior of a dual porosity medium are formulated and the coefficients in these linear equations are identified. The generalization from the single porosity case increases the number of independent coefficients for volume deformation from three to six for an isotropic applied stress. The physical interpretations are based upon considerations of different temporal and spatial scales. For very short times, both matrix and fractures behave in an undrained fashion. For very long times, the double porosity medium behaves like an equivalent single porosity medium. At the macroscopic spatial level, the pertinent parameters (such as the total compressibility) may be determined by appropriate field tests. At an intermediate or mesoscopic scale pertinent parameters of the rock matrix can be determined directly through laboratory measurements on core, and the compressibility can be measure...
Diffusion in PoroElastic Media
 Jour. Math. Anal. Appl
, 1998
"... . Existence, uniqueness and regularity theory is developed for a general initialboundaryvalue problem for a system of partial differential equations which describes the Biot consolidation model in poroelasticity as well as a coupled quasistatic problem in thermoelasticity. Additional effects of se ..."
Abstract

Cited by 10 (7 self)
 Add to MetaCart
. Existence, uniqueness and regularity theory is developed for a general initialboundaryvalue problem for a system of partial differential equations which describes the Biot consolidation model in poroelasticity as well as a coupled quasistatic problem in thermoelasticity. Additional effects of secondary consolidation and pore fluid exposure on the boundary are included. This quasistatic system is resolved as an application of the theory of linear degenerate evolution equations in Hilbert space, and this leads to a precise description of the dynamics of the system. 1. Introduction We shall consider a system modeling diffusion in an elastic medium in the case for which the inertia effects are negligible. This quasistatic assumption arises naturally in the classical Biot model of consolidation for a linearly elastic and porous solid which is saturated by a slightly compressible viscous fluid. The fluid pressure is denoted by p(x; t) and the displacement of the structure by u(x; t). ...
Single Phase Flow In Partially Fissured Media
"... . Totally fissured media in which the individual cells are isolated by the fissure system are effectively described by double porosity models with microstructure. Such models contain the geometry of the individual cells in the medium and the flux across their interface with the fissure system which ..."
Abstract

Cited by 8 (5 self)
 Add to MetaCart
. Totally fissured media in which the individual cells are isolated by the fissure system are effectively described by double porosity models with microstructure. Such models contain the geometry of the individual cells in the medium and the flux across their interface with the fissure system which surrounds them. We extend these results to a dualpermeability model which accounts for the secondary flux arising from direct celltocell diffusion within the solid matrix. Homogenization techniques are used to construct a new macroscopic model for the flow of a single phase compressible fluid through a partially fissured medium from an exact but highly singular microscopic model, and it is shown that this macroscopic model is mathematically well posed. Preliminary numerical experiments illustrate differences in the behaviour of solutions to the partially fissured from that of the totally fissured case. 1. Introduction. The bulk characteristics of laminar flow through porous media are det...
Singlephase Flow in Composite Poroelastic Media
 Math. Methods Appl. Sci
, 2002
"... . The mathematical formulation and analysis of the BarenblattBiot model of elastic deformation and laminar flow in a heterogeneous porous medium is discussed. This describes consolidation processes in a fluidsaturated doublediffusion model of fractured rock. The model includes various degenerate ..."
Abstract

Cited by 2 (2 self)
 Add to MetaCart
. The mathematical formulation and analysis of the BarenblattBiot model of elastic deformation and laminar flow in a heterogeneous porous medium is discussed. This describes consolidation processes in a fluidsaturated doublediffusion model of fractured rock. The model includes various degenerate cases, such as incompressible constituents or totally fissured components, and it is extended to include boundary conditions arising from partially exposed pores. The quasistatic initialboundary problem is shown to have a unique weak solution, and this solution is strong when the data are smoother. 1. Introduction Any model of fluid flow through a deformable solid matrix must account for the coupling between the mechanical behavior of the matrix and the fluid dynamics. For example, compression of the medium leads to increased pore pressure, if the compression is fast relative to the fluid flow rate. Conversely, an increase in pore pressure induces a dilation of the matrix in response to t...
Partially Saturated Flow in a Composite Poroelastic Medium
 in Poromechanics II, Grenoble, 2002, J.L. Auriault et al (editors), Balkema
"... Preliminary Report.) The model formulation and existence theory is described for di#usion of a barotropic fluid through a partially saturated poroelastic composite medium consisting of two components. This includes the BarenblattBiot doubledi #usion model of elastic deformation and laminar flow ..."
Abstract

Cited by 2 (1 self)
 Add to MetaCart
Preliminary Report.) The model formulation and existence theory is described for di#usion of a barotropic fluid through a partially saturated poroelastic composite medium consisting of two components. This includes the BarenblattBiot doubledi #usion model of elastic deformation and laminar flow in a fissured medium, such as consolidation processes in a system of fissures distributed throughout a matrix of highly porous cells. Nonlinear e#ects of density, saturation, porosity and permeability variations with pressure are included, and the seepage surfaces are determined by variational inequalities on the boundary.
Diffusion in Deforming Porous Media
"... We report on some recent progress in the mathematical theory of nonlinear fluid transport and poromechanics, specifically, the design, analysis and application of mathematical models for the flow of fluids driven by the coupled pressure and stress distributions within a deforming heterogeneous p ..."
Abstract

Cited by 2 (0 self)
 Add to MetaCart
We report on some recent progress in the mathematical theory of nonlinear fluid transport and poromechanics, specifically, the design, analysis and application of mathematical models for the flow of fluids driven by the coupled pressure and stress distributions within a deforming heterogeneous porous structure. The goal of this work is to develop a set of mathematical models of coupled flow and deformation processes as a basis for fundamental research on the theoretical and numerical modeling and simulation of flow in deforming heterogeneous porous media.
District Chief
"... The use of firm, trade, and brand names in this report is for identification purposes only and does not constitute endorsement by the U.S. Government. ..."
Abstract
 Add to MetaCart
The use of firm, trade, and brand names in this report is for identification purposes only and does not constitute endorsement by the U.S. Government.