Similar Constructing Method Of Solution Of Model Of Seepage Of Dual-permeability Reservoir

This paper studies the problem of seepage flow of the dual permeability reservoir. Onthe basis of seepage mechanism of dual permeability reservoir, this paper establishes seepagemathematical models of dual permeability reservoir which four kinds of different interboundary conditions (considering the well-bore storage and skin effect, considering thewell-bore storage without skin effect, considering the skin effect without the well-borestorage and without considering the well-bore storage and the skin effect) and three kinds ofouter boundary conditions (constant pressure, closed and infinite) are taken into consideration.Firstly, the established model is turned into boundary value problems of coupled ModifiedBessel Equation in Laplace space by canceling out its dimensions and dealing it with Laplacetransform. Secondly, according to similar structure of solution of the boundary value problemof differential equation, the model is solved. Furthermore, a new method for solving the classof seepage mathematical models of dual permeability reservoir is put forward——similarconstructing method and its detailed steps are summed up. Finally, according to the Stehfestnumerical inversion formula, we do numerical experiment and analyze the characteristiccurves of the bottom-hole pressure and derivative.