TY - JOUR

T1 - Prediction of compression and extension zones in geological structures based only on the velocities of longitudinal waves in the geological medium

AU - Sibiryakov, B. P.

AU - Khogoev, E. A.

PY - 2019/1/1

Y1 - 2019/1/1

N2 - The article presents accurate solutions for the problem for two elastic half-spaces with an arbitrary curvilinear interface. Our study shows that dilatation solutions (Poisson integrals) are dependent on neither an overall compression modulus nor the Poisson ratio, and depend only on the velocity of longitudinal waves. These specific solutions can be supplemented by general solutions for an incompressible elastic medium, and the boundary conditions of the rigid contact for the sum of the solutions can thus be satisfied. Relatively simple calculations make it possible to determine the divergence of the displacement field and reduce the entire problem solving process to a study of Poisson equations with a known divergence. Furthermore, predictions of volumetric compression or extension are important for geological investigations, since the zones characterized by reduced pressure rates may act as fluid attractors.

AB - The article presents accurate solutions for the problem for two elastic half-spaces with an arbitrary curvilinear interface. Our study shows that dilatation solutions (Poisson integrals) are dependent on neither an overall compression modulus nor the Poisson ratio, and depend only on the velocity of longitudinal waves. These specific solutions can be supplemented by general solutions for an incompressible elastic medium, and the boundary conditions of the rigid contact for the sum of the solutions can thus be satisfied. Relatively simple calculations make it possible to determine the divergence of the displacement field and reduce the entire problem solving process to a study of Poisson equations with a known divergence. Furthermore, predictions of volumetric compression or extension are important for geological investigations, since the zones characterized by reduced pressure rates may act as fluid attractors.

KW - Dilatation

KW - Forecasting

KW - Fundamental solutions

KW - Poisson integral

KW - Prediction

KW - Pressure

KW - Random walk method (RWM) for elliptic equations

KW - Velocity of longitudinal waves

KW - dilatation

KW - forecasting

KW - prediction

KW - pressure

KW - velocity of longitudinal waves

KW - fundamental solutions

KW - Poisson integral

KW - random walk method (RWM) for elliptic equations

UR - http://www.scopus.com/inward/record.url?scp=85076605524&partnerID=8YFLogxK

U2 - 10.5800/GT-2019-10-2-0422

DO - 10.5800/GT-2019-10-2-0422

M3 - Article

AN - SCOPUS:85076605524

VL - 10

SP - 471

EP - 481

JO - Geodynamics and Tectonophysics

JF - Geodynamics and Tectonophysics

SN - 2078-502X

IS - 2

ER -