Determination of the Relaxation Coefficient During Filtration of a Homogeneous Liquid In Fractured-Porous Media

An inverse problem of determining the relaxation coefficient in a simplified model of relaxation filtration of a homogenous fluid in fractured-porous media is posed and numerically solved. To solve the problem, various methods of identification were used, in particular, the first-order method, the modified first-order method, and the second-order method. It has been established that this coefficient at various zero approximations with unperturbed initial data is restored in almost four to six iterations. At a more remote initial approximation from the equilibrium point, the iterative procedure converges to the shifted values of the unknown parameter. To obtain an unbiased estimate of the desired parameter, a modified first-order method was used.