International scientific journal

ISSN: 2663-0419 (electronic version)

ISSN: 2218-8754 (print version)

International scientific journal

ISSN: 2663-0419 (electronic version)

ISSN: 2218-8754 (print version)

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The solution of nonlinear problem on increase of environment density of the Earth depths and its instability

G.G. Kuliev, A.D. Asgerov

Institute of Geology and Geophysics of Azerbaijan National Academy of Sciences, AZ1143, Baku, H.Javid av., 119

Summary

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Within the general nonlinear theory there had been developed an exact solution of complete nonlinear problem on increase of environment density of the Earth depths upon the deformation grow. Proceeding from the non-classic linearized approach there had showed that this solution for various geological environments is “internally” unstable.

Non-classical linearized approach with account of non-linear nature of the deformation process and tension of the environment enabled to make a formula to determine accretion of density in the Earth’s depth at free elastic potential of the contracted models of the environment. On the base of conception of the “internal” instability there have been determined ranges of application of the results. While describing deformations of some environments by quadratic elastic potential and potential of Murnagan’s type, there have been obtained certain numerical results about the accretion of the environments’ density during the non-linear deformation. In case of total contraction, having reached the state of “internal” instability, the process of compaction turns into a process of deconsolidation.