Geodesic
Mapping of geological objects properties with anisotropy using simulation of deformation
Matematičeskoe modelirovanie, Tome 30 (2018) no. 3, pp. 19-36

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The article discusses the problem of mapping for geological objects features with locally varying anisotropy. Approach based on simulation of deformation of initially isotropic space is formulated. There are given examples of the problem solutions using variational method of geological mapping. The problem is reduced to modification of model conditions represented by partial differential equations using the Jacobi transformation matrix for the simulated deformation. The approach is applicable to the solution of twodimensional and three-dimensional problems of mapping geological objects features with both homogeneous and inhomogeneous spatial anisotropy.
Keywords: geological mapping, locally varying anisotropy, deformation, modeling, partial differential equations, variational method. 
@article{MM_2018_30_3_a1,
     author = {A. G. Plavnik and A. N. Sidorov},
     title = {Mapping of geological objects properties with anisotropy using simulation of deformation},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {19--36},
     publisher = {mathdoc},
     volume = {30},
     number = {3},
     year = {2018},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_2018_30_3_a1/}
}
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A. G. Plavnik; A. N. Sidorov. Mapping of geological objects properties with anisotropy using simulation of deformation. Matematičeskoe modelirovanie, Tome 30 (2018) no. 3, pp. 19-36. http://geodesic.mathdoc.fr/item/MM_2018_30_3_a1/