Poroelasticity is a field in materials science and mechanics that studies the interaction between fluid flow and solids deformation within a linear porous medium and it is an extension of elasticity and porous medium flow (diffusion equation). The deformation of the medium influences the flow of the fluid and vice versa. The theory was proposed by Maurice Anthony Biot (1935, 1941) as a theoretical extension of soil consolidation models developed to calculate the settlement of struct… WebJan 1, 2001 · Two examples are given to illustrate the validity and practicality of the method. Written discussions on this paper should be submitted before January 1, 1972. Finite Element Method Applied to Biot’s Consolidation Theory Yoshitsura Yokoo, Dr. Eng., Professor 1 Kunio Yamagata, Dr. Eng., Associate Professor 2 Hiroaki Nagaoka, …
Solutions for Biot
WebFeb 29, 2024 · ABSTRACT Stress, rock microstructure and frequency are the three key factors that influence the velocities of elastic waves and, hence, are sensitive to the Biot effective stress parameter (α) in porous rocks. The effective stress in an isotropic poroelastic medium relates to applied pressure and pore pressure, with the Biot parameter (α) as a … WebBiot theory proSvides a framework for computing the seismic response of fluid‐saturated reservoirs. Numerical implementation by 2-D finite‐differences allows investigation of the … impala insert into select
About the transition frequency in Biot’s theory: The Journal of the ...
Web1. n. [Formation Evaluation] A theory developed by M.A. Biot for acoustic propagation in a porous and elastic medium. Compressional and shear velocities can be calculated by standard elastic theory from the composite density, shear, and bulk modulus of the total rock.The problem is how to determine these from the properties of the constituent parts. WebIn Biot's theory (Biot 1956a, b), pore fluids are forced to participate in the solid's motion due to inertia and viscosity. The Biot mechanism is described through macroscopic rock … WebJun 11, 2004 · A unified treatment of the mechanics of deformation and acoustic propagation in porous media is presented, and some new results and generalizations are derived. The writer's earlier theory of deformation of porous media derived from general principles of nonequilibrium thermodynamics is applied. The fluid‐solid medium is treated … listview layouttemplate 使い方