Homogenization method is applied to topology optimization of a weakly coupled two physics problem, where structures are made periodically perforated material. The microscopic periodic cell macroscopically modulated, the design characterized by material density and its homogenized Hooke’s law at each point domain. coupling weak because involved solved consecutively: first, fluid determined using...

We are developing a finite element program for oil and gas reservoir simulation based on Biot’s poroelastic theory, where a simultaneous solution is sought for both the pore pressure and strain in the solid phase. Several 2-D and 3-D cases are presented, which are compared with analytical solutions for verification of this approach. We have also applied this method to simulate surface subsidenc...

Using the lubrication approximation we investigate two-dimensional steady flow of a thin film of fluid with temperature-dependent viscosity on a uniformly heated or cooled horizontal cylinder, which may be stationary or rotating about its axis, in the case when the Biot number (a measure of heat transfer at the free surface) is large. We show that the film thickness (but not the fluid velocity)...

Thermoelectric power generators are used to convert heat into electricity. Like any other heat engine, the performance of a thermoelectric generator increases as the temperature difference on the sides increases. It is generally assumed that as more heat is forced through the thermoelectric legs, their performance increases. Therefore, insulations are typically used to minimize the heat losses ...

The quasi-static theory of poroelasticity presented by Biot and Gassmann provides a relationship between the drained and undrained elastic constants of an isotropic fluid-saturated porous material in terms of the porosity of the material, bulk modulus of the solid grains, and bulk modulus of the pore fluid. We have developed an alternative approach to derive the Biot-Gassmann (BG) relationship ...

An explicit finite-difference scheme is presented for solving the two-dimensional Biot equations of poroelasticity across the full range of frequencies. The key difficulty is to discretize the Johnson-Koplik-Dashen (JKD) model which describes the viscous dissipations in the pores. Indeed, the time-domain version of Biot-JKD model involves order 1/2 fractional derivatives which amount to a time ...

This article introduces the concept of Genetic Programming (GP), which is the application of the Genetic Algorithm to the creation of functional systems which are too complex in their dynamics to be analyzed or pre-specified in detail. Such systems can be built, but (probably) not understood. Two main examples of the application of the GP philosophy are introduced one is the creation of an arti...