IDENTIFYING THE PERMEABILITY FIELD OF A THREE-DIMENSIONAL LAYERED BED WITH ALLOWANCE FOR A PRIORI INFORMATION ON WELLS UNDER STEADY-STATE SINGLE-PHASE FILTRATION CONDITIONS

Consideration is given to the coeffi cient problem on determining the permeability fi eld of a three-dimensional layered bed under the conditions of steady-state single-phase fi ltration of the liquid. This problem is reduced to the problem of minimizing the residual function, which is constructed from the known values of pressure at the wellbore. An algorithm to solve this problem is proposed, whose distinctive feature is allowance for additional a priori information on the identifi ed parameters. It is assumed that the proportionality coeffi cients of permeability of the layers on the wells are known. On the model problem, the solution stability to errors in measurements of pressure at the wellbore is investigated
Consideration is given to the coeffi cient problem on determining the permeability fi eld of a three-dimensional layered bed under the conditions of steady-state single-phase fi ltration of the liquid. This problem is reduced to the problem of minimizing the residual function, which is constructed from the known values of pressure at the wellbore. An algorithm to solve this problem is proposed, whose distinctive feature is allowance for additional a priori information on the identifi ed parameters. It is assumed that the proportionality coeffi cients of permeability of the layers on the wells are known. On the model problem, the solution stability to errors in measurements of pressure at the wellbore is investigated
Author:  A. V. Elesin, A. Sh. Kadyrova, and A. I. Nikiforov
Keywords:  inverse coeffi cient problem, identifying the permeability fi eld, residual function
Page:  587-590