Abstract
An analytical method has been developed for studying filtration wave fields in oil-gas collectors, which makes it possible to reduce wave conjugation problems to simple problems for the aymptotic expansion coefficients. Simple analytic dependences have been found to calculate the fields in inhomogeneous anisotropic layers for the zero and first coefficients. Such dependences can serve as the basis for a fundamentally new and more complete study of wave fields as applied to acoustic logging and seismic surveying. The reliability of this method is substantiated by comparing the obtained asymptotic solutions with the expansion coefficients of an exact solution to the parameterized problem expanded into a Maclaurin series for the formal parameter.
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