DETERMINATION OF THE RELAXATION COEFFICIENT DURING FILTRATION OF A HOMOGENEOUS LIQUID IN FRACTURED-POROUS MEDIA

An inverse problem of determining the relaxation coeffi cient in a simplifi ed model of relaxation fi ltration of a homogenous fl uid in fractured-porous media is posed and numerically solved. To solve the problem, various methods of identifi cation were used, in particular, the fi rst-order method, the modifi ed fi rst-order method, and the secondorder method. It has been established that this coeffi cient 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 modifi ed fi rst-order method was used.
An inverse problem of determining the relaxation coeffi cient in a simplifi ed model of relaxation fi ltration of a homogenous fl uid in fractured-porous media is posed and numerically solved. To solve the problem, various methods of identifi cation were used, in particular, the fi rst-order method, the modifi ed fi rst-order method, and the secondorder method. It has been established that this coeffi cient 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 modifi ed fi rst-order method was used.
Author:  B. Kh. Khuzhayorova, É. Ch. Kholiyarov
Keywords:  relaxation coeffi cient, identifi cation method, inverse problem, homogenous liquid, relaxation fi ltration, fractured-porous medium
Page:  966