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elastodynamics

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Journal Article
Journal: Geophysics
Published: 19 July 2021
Geophysics (2021) 86 (4): T293–T303.
... practical challenges when aiming to represent curved interfaces (including free-surface topography) with rectilinear elements. To forestall such issues, we have developed a general strategy for generating solutions of tensorial elastodynamics for anisotropic media (i.e., tilted transversely isotropic...
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Journal Article
Journal: Geophysics
Published: 23 November 2020
Geophysics (2020) 85 (6): T359–T373.
...Jeffrey Shragge; Tugrul Konuk ABSTRACT Numerical solutions of 3D isotropic elastodynamics form the key computational kernel for many isotropic elastic reverse time migration and full-waveform inversion applications. However, real-life scenarios often require computing solutions for computational...
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Book Chapter

Author(s)
James Gaiser
Series: Society of Exploration Geophysicists Distinguished Instructor Series
Published: 01 January 2016
DOI: 10.1190/1.9781560803362.appd
EISBN: 9781560803362
... Abstract In this appendix, basic elastodynamic properties are reviewed for vertically heterogeneous anisotropic media. Also, PS-wave reflection and transmission coefficients are discussed in relationship to the interface scattering matrix and for special cases at the free surface and seabed...
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Journal Article
Published: 01 October 2005
Bulletin of the Seismological Society of America (2005) 95 (5): 1916–1927.
... of the boundary surfaces. The method is based on the derivation of analytical expressions of singular integrals. To demonstrate the accuracy of the method, three elastodynamic problems are numerically worked out in the frequency domain: a cavity under harmonic pressure, diffraction of a plane wave by a spherical...
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Journal Article
Published: 01 October 1978
Bulletin of the Seismological Society of America (1978) 68 (5): 1331–1357.
...David M. Cole; Dan D. Kosloff; J. Bernard Minster abstract The boundary initial value problems of elastodynamics are formulated as boundary integral equations. It is shown that these integral equations may be solved by time-stepping numerical methods for the unknown boundary values. A specific...
Journal Article
Published: 01 April 1971
Bulletin of the Seismological Society of America (1971) 61 (2): 275–287.
.... L. (1952) . Stress singularities resulting from various boundary conditions in angular corners of plates in extension , J. Appl. Mech. 19 , 526 - 528 . Bulletin of the Seismological Society of America. Vol. 61, No. 2, pp. 275-287. April, 1971 ELASTODYNAMICS...
Series: Society of Exploration Geophysicists Geophysical Monograph Series
Published: 01 January 2001
DOI: 10.1190/1.9781560802112.ch7
EISBN: 9781560802112
... Abstract The application of the BEM to elastodynamics started in the late 1960s. Cruse and Rizzo ( 1968 ) transformed elastodynamic problems into stationary problems using the Laplace transform. Niwa et al. ( 1971 ) and Manolis and Beskos ( 1981 ) obtained more accurate results with the Fourier...
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Series: Society of Exploration Geophysicists Geophysics Reprint Series
Published: 01 January 2012
EISBN: 9781560803089
Journal Article
Journal: Geophysics
Published: 01 August 1990
Geophysics (1990) 55 (8): 1047–1056.
...H. J. Stam Abstract The two-dimensional elastodynamic P- and SV-wave motion generated by an arbitrary distributed impulsive surface load on the boundary of a semiinfinite perfectly elastic solid is investigated theoretically. With the aid of the Cagniard-de Hoop method, closed-form expressions...
Journal Article
Published: 01 August 1972
Bulletin of the Seismological Society of America (1972) 62 (4): 973–983.
...B. L. N. Kennett Abstract Two independent powerful methods in elastodynamics have been developed over the last few years: these are the use of representation theorems and propagator matrix techniques. The connection between these two approaches is derived in this paper. This is then used to show...
Journal Article
Published: 01 June 1972
Bulletin of the Seismological Society of America (1972) 62 (3): 675–697.
.... (1958) . Representation Theorems for the Displacement in an Elastic Solid and Their Application to Elastodynamic Diffraction Theory , Thesis , Technische Hogeschool , Delft . Dulaney E. N. Brace W. F...
Series: Society of Exploration Geophysicists Geophysics Reprint Series
Published: 01 January 2012
EISBN: 9781560803089
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Journal Article
Journal: Geophysics
Published: 23 May 2011
Geophysics (2011) 76 (3): WA43–WA50.
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Journal Article
Published: 01 April 1992
Bulletin of the Seismological Society of America (1992) 82 (2): 1134–1143.
...How-Wei Chen; George A. McMechan Abstract By using the elastodynamic equations rather than wave equations for seismogram synthesis, multi-attribute wave fields can be computed in a single execution of one program. In the present implementation, for 2-D models, the wave fields and seismograms...
Journal Article
Journal: Geophysics
Published: 01 August 1985
Geophysics (1985) 50 (8): 1229–1252.
...T. H. Tan Abstract The elastodynamic field of N rigid strips, lying parallel on the surface of an elastic half-space and harmonically excited in time by vertical forces, was calculated. It is assumed (1) the contact between the rigid strips and the surface of the half-space is maintained during...
Journal Article
Published: 01 December 1998
Bulletin of the Seismological Society of America (1998) 88 (6): 1457–1465.
...Bruce E. Shaw Abstract Measurements of the far-field radiated energy in very simple elastodynamic fault models is presented, and the scaling of the radiated energy with moment and rupture length is examined. The models produce a complex sequence of events having a wide range of sizes as a result...
Journal Article
Published: 01 August 1977
Bulletin of the Seismological Society of America (1977) 67 (4): 1215–1217.
... and their application to elastodynamic diffraction theory , Thesis , Technische Hogeschool , Delft . Haskell N. A. (1969) . Elastic displacements in the near-field of a propagating fault , Bull. Seism. Soc. Am. 59 , 865 - 908...
Journal Article
Journal: Geophysics
Published: 28 August 2006
Geophysics (2006) 71 (5): O33–O41.
... effective stress gives low elastic compliance and low fluid permeability. The exponential-decay constants are estimated for physically realistic conditions. With relationships coupling pore pressure to permeability and elastic constants, we are able to couple hydromechanical and elastodynamic modeling codes...
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Journal Article
Journal: Geophysics
Published: 01 December 1995
Geophysics (1995) 60 (6): 1897–1905.
Series: Society of Exploration Geophysicists Geophysics Reprint Series
Published: 01 January 2012
EISBN: 9781560803089
... Abstract We present and analyze a perfectly matched, absorbing layer model for the velocity-stress formulation of elastodynamics. The principal idea of this method consists of introducing an absorbing layer in which we decompose each component of the unknown into two auxiliary components...
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