Mapping the Properties of Geological Objects with Allowance for Anisotropy Based on the Simulation of the Deformation Transformation

Аннотация

The statement for the problem on mapping the properties of geological objects is considered. Examples of its solution with allowance for anisotropy based on modeling the deformation transformation of an initially isotropic space within the variational method for geological mapping are given. The problem is reduced to modifying the type of model conditions represented by partial differential equations using the Jacobian matrix corresponding to the coordinate transformation for the simulated deformation. The proposed approach is applicable to the solution of two-dimensional and three-dimensional problems of geological mapping taking into account both the homogeneous and locally varying space anisotropy of the properties of geological objects