Mathematical and numerical coupling models of seepage and stress fields of low-permeability reservoirs are developed based on the basic theories of rock mechanics

fluid mechanics in porous medium

geologic mechanics

computational mechanics and fluid-solid coupling seepage

and etc

and by taking into consideration of their start-up pressure gradient of seepage flow and characters of fluid-solid coupling.A program is designed by using numerical computing method of coupling with finite difference and finite element integrated

and the coupling law of seepage and stress fields in low-permeability reservoirs is studied.The varying law of stress-strain with time and space

dynamic changing law of rock physical properties

changing pattern of development index in the process of natural depletion of single well are studied through numerical simulation and correlated with the calculation of rigidity model.It is revealed that the fluid-solid coupling effect in low permeability reservoirs is rather obvious.