Shock waves in saturated thermoelastic porous media |
| |
| Authors: | Shaul Sorek Jacob Bear Gabi Ben-Dor Gedalia Mazor |
| |
| Institution: | (1) J. Blaustein Desert Research Institute, Ben-Gurion University of the Negev, 84990 Sede Boker, Israel;(2) Albert and Anne Mansfield Chair in Water Resources, Technion - Israel Institute of Technology, 32000 Haifa, Israel;(3) Dept. of Mechanical Engineering, Ben-Gurion University of the Negev, Beer Sheva, Israel |
| |
| Abstract: | The objective of this paper is to develop and present the macroscopic motion equations for the fluid and the solid matrix, in the case of a saturated porous medium, in the form of coupled, nonlinear wave equations for the fluid and solid velocities. The nonlinearity in the equations enables the generation of shock waves. The complete set of equations required for determining phase velocities in the case of a thermoelastic solid matrix, includes also the energy balance equation for the porous medium as a whole, as well as mass balance equations for the two phase. In the special case of a rigid solid matrix, the wave after an abrupt change in pressure propagates only through the fluid. |
| |
| Keywords: | Mass momentum and energy nonlinear waves saturated thermoelastic porous media abrupt pressure change |
| 本文献已被 SpringerLink 等数据库收录！ |
|
