A Study On The Solution Of The Spherical Seepage Model Of Composite Reservoir With Double-porosity

From the perspective of solving boundary value problem of differential equation,Firstly,this paper summarized and sorted out the similar construction method of the composite Bessel equation under a class of boundary value problem.Secondly,according to the model of fractal composite reservoir with double-porosity,by introducing the dimensionless variable and using the Laplace transform to deal with it.On the basis of the definition of similar kernel function,we solved the solution of this model under different internal and external boundary conditions in Laplace space by using similar construction method.This method is a simple algebraic method and greatly simplifies the solving process of reservoir model,improves the efficiency of the solution.Finally,this paper summarized and analyzed the difference and relation between the solutions of each model.We find that the kernel function has a uniform expression,when the boundary condition is the same,and the similar solution has a uniform expression,when the inner boundary condition is the same.