Abstract A mathematical model is proposed to ascertain the static deformation of a multilayered medium comprising an isotropic elastic layer with a uniform thickness H, which is placed over an irregular isotropic half-space caused by a tensile fault. The presence of a parabolically shaped irregularity is assumed to be in the lower half-space. The displacement fields integral expressions are derived through the utilization of the Airy stress function. The integrals are computed in an approximate manner, employing Sneddon's methodology, wherein the terms under the integral sign are replaced with a finite summation of exponential expressions. Numerical and graphical analyses are conducted to investigate the variations in displacements as a function of epicentral distance across various source locations. Graphical analysis has been performed to examine the impact of irregularity on displacements. As the fault depth increases, the number of oscillations (wavelength) and magnitude of horizontal displacement, vertical displacement and normal stress increase for both oceanic and continental Earth crust modes, in the presence of irregularity induced by a tensile dislocation, while their magnitude decreases with increasing fault depth in the absence of irregularity. In the presence of irregularity, the magnitude of normal stress is very high in comparison to the half-space without irregularity. Research highlights <UnorderedList Mark="Bullet"> <ItemContent> As the fault depth increases number of oscillations (wavelength) and the magnitude of horizontal and vertical displacement increase for both oceanic and continental Earth crust modes, in the presence of irregularity induced by a tensile dislocation, while its magnitude decreases with increasing fault depth in the absence of irregularity. </ItemContent> <ItemContent> As the rigidity ratio increases, the magnitude of both horizontal and vertical displacements increases in the case of both irregular and regular layered half-spaces caused by a tensile dislocation. </ItemContent> <ItemContent> As the fault depth increases number of oscillations (wavelength) and the magnitude of normal stress increase for both oceanic and continental Earth crust modes, in the presence of irregularity induced by a tensile dislocation, while its magnitude decreases with increasing fault depth in the absence of irregularity. In the presence of irregularity, the magnitude of normal stress is very high in comparison to the half-space without irregularity. </ItemContent> </UnorderedList>

Effect on displacement field in an irregular multilayered half-space caused by a tensile dislocation

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发表日期：

2026年7月3日

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Sangeeta Dhania,
Jitander Singh Sikka,
Meenal Malik

摘要

Abstract

A mathematical model is proposed to ascertain the static deformation of a multilayered medium comprising an isotropic elastic layer with a uniform thickness H, which is placed over an irregular isotropic half-space caused by a tensile fault. The presence of a parabolically shaped irregularity is assumed to be in the lower half-space. The displacement fields integral expressions are derived through the utilization of the Airy stress function. The integrals are computed in an approximate manner, employing Sneddon's methodology, wherein the terms under the integral sign are replaced with a finite summation of exponential expressions. Numerical and graphical analyses are conducted to investigate the variations in displacements as a function of epicentral distance across various source locations. Graphical analysis has been performed to examine the impact of irregularity on displacements. As the fault depth increases, the number of oscillations (wavelength) and magnitude of horizontal displacement, vertical displacement and normal stress increase for both oceanic and continental Earth crust modes, in the presence of irregularity induced by a tensile dislocation, while their magnitude decreases with increasing fault depth in the absence of irregularity. In the presence of irregularity, the magnitude of normal stress is very high in comparison to the half-space without irregularity.

Research highlights

As the fault depth increases number of oscillations (wavelength) and the magnitude of horizontal and vertical displacement increase for both oceanic and continental Earth crust modes, in the presence of irregularity induced by a tensile dislocation, while its magnitude decreases with increasing fault depth in the absence of irregularity.

As the rigidity ratio increases, the magnitude of both horizontal and vertical displacements increases in the case of both irregular and regular layered half-spaces caused by a tensile dislocation.

As the fault depth increases number of oscillations (wavelength) and the magnitude of normal stress increase for both oceanic and continental Earth crust modes, in the presence of irregularity induced by a tensile dislocation, while its magnitude decreases with increasing fault depth in the absence of irregularity. In the presence of irregularity, the magnitude of normal stress is very high in comparison to the half-space without irregularity.