Abstract
The coefficient inverse problem of finding poroelastic characteristics of ingomogeneous hollow cylinder is considered. Direct problem poroelasticity for the cylinder is solved by a method of adjustment. As additional information for solving the inverse problem appears measured displacement or pressure at the outer edge of the cylinder. To solve the inverse problem, based on the linearization method derived operator relations, establishing a relationship between a desired and measured characteristics. Poroelastictic characteristics restored in two phases. The first phase was an initial approximation. The second stage amendments to the recoverable characteristics are determined from the solution of Fredholm integral equations of the 1st kind. For solutions of Fredholm integral equations of the 1st kind used method of A.N. Tikhonov. Concrete examples of the reconstruction of the characteristics of inhomogeneous poroelastic cylinder are given. Keywords: poroelasticity, inverse problem, hollow cylinder, integral equations.
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