Static Deformation Due to Shear and Tensile Faults in a Layered Half-Space

2003 ◽  
Vol 93 (5) ◽  
pp. 2253-2263 ◽  
Author(s):  
Y.-M. He
Keyword(s):  
Half Space ◽  
Static Deformation ◽  
Layered Half Space

Deformation of a multilayered half-space by stress dislocations and concentrated forces

1971 ◽  
Vol 61 (6) ◽  
pp. 1625-1637 ◽  
Author(s):  
Sarva Jit Singh
Keyword(s):  
Free Surface ◽  
Dynamic Response ◽  
Point Source ◽  
Half Space ◽  
Elastic Half Space ◽  
Static Deformation ◽  
Source Level ◽  
Concentrated Forces ◽  
Layered Half Space

abstract The problem of the static and dynamic response of a nonhomogeneous, isotropic, elastic half-space to stress dislocations and concentrated forces is discussed. Integral expressions for the displacements are obtained in the case of a two-layered half-space. Results of Singh (1970) are used to study the static deformation of a multilayered half-space caused by a point source placed at an arbitrary depth below the free surface. The source is represented as a discontinuity in the z-dependent coefficients of the displacement and stress integrands at the source level.

Seismic Waves in a Laterally Inhomogeneous Layered Medium, Part I: Theory

1997 ◽  
Vol 64 (1) ◽  
pp. 50-58 ◽  
Author(s):  
Ruichong Zhang ◽  
Liyang Zhang ◽  
Masanobu Shinozuka
Keyword(s):  
Wave Field ◽  
Half Space ◽  
Seismic Waves ◽  
Scattered Wave ◽  
Inhomogeneous Layer ◽  
Dislocation Source ◽  
Seismic Dislocation ◽  
Body Forces ◽  
The Mean ◽  
Layered Half Space

Seismic waves in a layered half-space with lateral inhomogeneities, generated by a buried seismic dislocation source, are investigated in these two consecutive papers. In the first paper, the problem is formulated and a corresponding approach to solve the problem is provided. Specifically, the elastic parameters in the laterally inhomogeneous layer, such as P and S wave speeds and density, are separated by the mean and the deviation parts. The mean part is constant while the deviation part, which is much smaller compared to the mean part, is a function of lateral coordinates. Using the first-order perturbation approach, it is shown that the total wave field may be obtained as a superposition of the mean wave field and the scattered wave field. The mean wave field is obtainable as a response solution for a perfectly layered half-space (without lateral inhomogeneities) subjected to a buried seismic dislocation source. The scattered wave field is obtained as a response solution for the same layered half-space as used in the mean wave field, but is subjected to the equivalent fictitious distributed body forces that mathematically replace the lateral inhomogeneities. These fictitious body forces have the same effects as the existence of lateral inhomogeneities and can be evaluated as a function of the inhomogeneity parameters and the mean wave fleld. The explicit expressions for the responses in both the mean and the scattered wave fields are derived with the aid of the integral transform approach and wave propagation analysis.

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