Место издания: Тюмень , Год издания: 2019

The paper deals with the problem of determining model conditions that correspond to experimental data on the geological objects properties, as applied to the variational-grid method of geomapping. The peculiarity of the problem lies in the fact that the model conditions are given in the form of partial differential equations, and it is necessary to define two or more such equations for determine the uniqueness of the solution. We propose an approach based on the definition of orthogonal hyperplanes in the multidimensional space of the first, second derivatives, and values of the function being mapped, which are most consistent with the available data. in the absence of experimental definitions of the values of the derivatives, an iterative method of their sequential refinement is proposed. The method was tested using examples of restoring model conditions corresponding to a series of periodic solutions. The problem mathematical formulation general nature and the possibility of optimizing the computational scheme determine the prospects of the approach considered for restoring model conditions in a wider class of functions.