Theoretical Modeling And Numerical Simulation Of Dynamic Analysis Of Fluid-saturated Thermoelastic Porous Media

Saturated porous media thermal fluid dynamics research on the coupled system not only in soil mechanics,hydrology and other classic field play an important role,but also has become a key problem in the field of nuclear waste disposal,pollution of petroleum and natural gas transportation,bio mechanical properties of cartilage tissue in the analysis of emerging technology.In this paper,the dynamic response of an axisymmetric problem of a one-dimensional incompressible fluid saturated thermo elastic porous medium is studied.Based on the mixture theory of porous media,the system dynamic behavior analysis of axisymmetric problems of fluid saturated elastic porous medium heat from mathematical modeling,numerical calculation and parameter research and other aspects,and the results and methods applied to stratified fluid saturated elastic heat in porous media,the main parameters affecting the dynamic characteristics of the coupling system are given.Provide a reference for engineering practice.In this paper,the dynamic response of a one-dimensional homogeneous and incompressible fluid saturated thermoelastic porous medium axisymmetric problem is studied.Based on the theory of de Boer porous medium mixture,the mathematical model of the coupled system under local thermal equilibrium and local thermal imbalance is given.Secondly,using the differential quadrature method in space domain discrete control differential equation and boundary conditions.By two step backward processing time derivative scheme in time domain,and then the initial conditions in the discretization using Newton-Raphson method for iterative solving the mathematical model,the numerical results can have the discrete points of unknown physical quantities.Finally,under the condition of local thermal equilibrium and local thermal imbalance,the thermal mechanical characteristics of the fluid saturated thermoelastic porous media under the two temperature loads of stepped temperature load and periodic temperature load are studied and compared,and the parameter analysis is carried out.Based on the above,use and develop the differential quadrature element method,were studied one-dimensional incompressible fluid saturated elastic porous media thermal imbalance in local thermal equilibrium and local thermal conditions,the surface by the thermodynamic properties of two kinds of temperature loads,and the results of uniform coupled system were compared,obtained some useful conclusions.From the results of the study,we can see that the method is effective,the result is reliable,and has the advantages of high precision,small calculation and numerical stability.This method can be extended to the analysis and computation of complex large-scale problems,providing theoretical basis and numerical simulation method for studying the dynamic characteristics of fluid saturated thermoelastic porous media.