Applications Of Similar Structure Theory In The Fluids Flow Problems For Fractal Composite Reservoir

Find the solutions to boundary value problem of the composite extend modified Besselequation, and then express it as multiplicative product of continued fraction, which is definedas similar structure. By the theory of similar structure, equation and boundary valueconditions’ influences on the solution are illustrated and a new constructive method isacquired to solve the boundary value problem. The constructive method is an easy andalgebraic way to solve the boundary value problem, which avoids complicated process ofcalculating. The well testing models of spherical fluids flow problems for fractal compositereservoir are established. The solutions in Laplace Space for the mathematical models arederived by the constructive method. At last, compare the differences and similarities of thesolutions to fluids flow problems. By the similar structures of inner and outer zones pressure,the influences of parameters can be analyzed.