WebFeb 17, 2024 · The method generalizes the linear poroviscoelastic model based on effective Biot theory for seismic wave modeling to the attenuative, anisotropic case. In the anisotropic, poroviscoelastic model, we represent the bulk modulus and shear modulus of the solid frame by the modified relaxation function. We present time-domain finite … Web2. The full three dimensional approach based on the Biot theory. In most of the studies done on the Bangkok region, the one dimensional theory of Terzaghi has been chosen. This is mainly because of the simplicity of the computation. In this section, we analyze the validity of the assumptions of the consolidation theory of Terzaghi.
The existence and uniqueness theorem in Biot
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 effects of spatial variations in porosity, permeability, and fluid viscosity, on seismic displacements of the solid frame and of the fluids (oil, gas, and/or water) in the reservoir. … 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 … fish neuromast
Generalized Biot
WebNov 28, 2015 · Cantarella, D. DeTurck, and H. Gluck, "The Biot – Savart operator for application to knot theory, fluid dynamics, and plasma physics," Journal of Mathematical Physics 42 , 876 - 905 (2001). 16. 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, … WebApr 1, 1993 · Abstract. The velocities and attenuation of seismic and acoustic waves in rocks with fluids are affected by the two most important modes of fluid/solid interaction: (1) the Biot mechanism where the fluid is forced to participate in the solid's motion by viscous friction and inertial coupling, and (2) the squirt-flow mechanism where the fluid is … fish neuroendocrinology