Accounting for Anisotropy in the Variation-Grid Geomapping Method

A.G. Plavnik

doi:10.3997/2214-4609.201950010

Accounting for Anisotropy in the Variation-Grid Geomapping Method
By A.G. Plavnik^1,2
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Affiliations: ¹ Tyumen industrial university ² Institute of Petroleum Geology and Geophysics of the Siberian Branch of the RAS
Publisher: European Association of Geoscientists & Engineers
Source: Conference Proceedings, Geomodel 2019, Sep 2019, Volume 2019, p.1 - 5
DOI: https://doi.org/10.3997/2214-4609.201950010

Abstract

Summary

The problem of mapping for geological objects features with locally varying anisotropy is considered. 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 two-dimensional and three-dimensional problems of mapping geological objects features with both homogeneous and inhomogeneous spatial anisotropy.

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2019-09-09

2024-04-28

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References

Plavnik, A.G.
[2010] Generalized spline-approximation problem formulation for spatial data modeling in geosciences. Russ. Geol. Geophys., 51(7), 801–807.
[Google Scholar]
Plavnik, A.G. and Sidorov, A.N.
[2018] Mapping the Properties of Geological Objects with Allowance for Anisotropy Based on the Simulation of the Deformation Transformation. Math. Model. Comput. Simulations, 10(5), 629–638.
[Google Scholar]
Sidorov, A.N., Plavnik, A.G., Sidorov, A.A. and ShutovM.S.
[2014] Use of Variational Methods in Geological Mapping. Mathematics of Planet Earth. Lecture Notes in Earth System Sciences. Springer, Berlin, Heidelberg, 325–328.
[Google Scholar]
Volkov, A.M.
[1988] Geologicheskoe kartirovanie neftegazonosnykh territorii s pomoshchiu EVM. Nedra, Moscow
[Google Scholar]

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Accounting for Anisotropy in the Variation-Grid Geomapping Method

Conference Proceedings 2019, 1 (2019); https://doi.org/10.3997/2214-4609.201950010

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Accounting for Anisotropy in the Variation-Grid Geomapping Method

Abstract

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