Seismic Wave Scattering By Inhomogeneous
Geological Deposits With Cracks
Author(s)
G. D. Manolis, P. S. Dineva & T. V. Rangelov
Abstract
In this work, we study seismic wave scattering by cracks in inhomogeneous
geological continua with depth-dependent material parameters and under
conditions of plane strain. A restricted case of inhomogeneity is considered, with
Poisson’s ratio equal to 0.25 and with both shear modulus and density profiles
varying proportionally. Also, time-harmonic conditions are assumed to hold. For
this type of material, elastic wave speeds remain macroscopically constant and it
becomes possible to recover exact Green functions for the crack-free
inhomogeneous continuum by using an algebraic transformation proposed in
earlier work [1] as a first step. Subsequently, the complete elastodynamic
fundamental solution, along with its spatial derivatives and an asymptotic
expansion for small argument, are all derived in closed-form using the Radon
transform [2]. Next, a non-hypersingular, traction-based boundary element
formulation (BEM) is implemented for solving the plane boundary-value
problem (BVP) with internal cracks [2]. This formulation is used for computing
stress intensity factors (SIF) and scattered wave displacement field amplitudes
for the case of an inclined line crack in a continuously inhomogeneous medium
swept by either pressure (P) waves or vertically polarized shear (SV) waves at an
arbitrary angle of incidence. The numerical results show substantial differences
between homogeneous and inhomogeneous materials containing a crack in terms
of their dynamic response, with the latter case being a more realistic
representation for geological deposits. Finally, these types of results are useful
within the context of earthquake engineering, since they can account for the
influence of geological cracks in modifying seismically-generated ground
motions.
Keywords: boundary elements, cracks, inhomogeneous media, seismic waves.
Keywords
boundary elements, cracks, inhomogeneous media, seismic waves.
Related Book
Other papers in this volume
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