A perturbation method for elastic wave propagation, III-thin inhomogeneities

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Published: Jan 1, 1965
DOI: https://doi.org/10.22201/igeof.00167169p.1965.5.1.1163
Keywords:
Elastic waves,, Geological formations, Elastodynamics

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Ismael Herrera
Universidad Nacional Autónoma de México, Instituto de Geofísica, Ciudad Universitaria, Delegación Coyoacán, 04510, Ciudad de México, México.

Abstract

A first order theory is developed to treat the scattering of elastic waves by small inhomogeneities. Attention is restricted to inhomogeneities for which the perturbation of the elastic properties is not small but the perturbed region is thin. Geological formations satisfying these conditions are dykes, lenses, etc. Using the integral representation theorems of elastodynamics the solutions are expressed as integral of known quantitie.

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How to Cite
Herrera, I. (1965). A perturbation method for elastic wave propagation, III-thin inhomogeneities. Geofisica Internacional, 5(1), 1–14. https://doi.org/10.22201/igeof.00167169p.1965.5.1.1163
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Vol. 5 No. 1 (1965): January 1, 1965
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Article
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References

DE HOOP, A. T. 1958. Representation Theorems for the Displacement of an Elastic Solid and their Application to Elastodynamic Diffraction Theory. Sci. D. Thesis, Tachnische Hogeschool, Delft.

HERRERA, I. 1964a. On a Method to obtain the Gree’s Function for a Multilayered Half Space. Bull. Seismol. Soc. America, 54 : 1087-1096. DOI: https://doi.org/10.1785/BSSA0540041087

----. 1964b. A Perturbation Method for Elastic Wave Propagation, I – Non-parallel Boundaries. Jour. Geophys. Res., 69 (18) : DOI: https://doi.org/10.1029/JZ069i018p03845

----. 1964c. Contribution to the Linearized Theory of Surface Wave Transmision. Jour. Geophys. Res., 69(22) : DOI: https://doi.org/10.1029/JZ069i022p04791

Herrera, I. & A. K. MAL. 1965. A Perturbation Method for Elastic Wave Propagation, II - Small Inhomogeneities. Jour. Geophys. Res., 70(4) : DOI: https://doi.org/10.1029/JZ070i004p00871

HUDSON, J. A. & L. KNOPOFF. 1964. Transmision and Reflection of Surface Wares at a Corner. Jour. Geophys. Res. 69 : 1648-1653. DOI: https://doi.org/10.1029/JZ069i002p00275

KARAL, F. C. & J. B. KELLER. 1964. Elastic Electromagnetic and Other Waves in a Random Medium. Jour. Mathem. Phys. 5 : 537-547. DOI: https://doi.org/10.1063/1.1704145

KNOPOFF, L. 1956. Diffraction of Elastic Waves. Jour. Accustic Soc. America, 28 : 217-219. DOI: https://doi.org/10.1121/1.1908247

KNOPOFF, L. & J. A. HUDSON. 1964a. Scattering of Elastic Waves by Small lnhomogeneities. Jour. Acoustic Soc. America, 36 : 338-346. DOI: https://doi.org/10.1121/1.1918957

----. 1964b. Transmission of Long Waves past a Continental Margin. Jour. Geophys. Res. 69 : 1645-1653. DOI: https://doi.org/10.1029/JZ069i008p01649

MAL. A. K. 1962a. On the Frequency Equation for Love Waves due to Abrupt Thickening of the Crustal Layer. Geofisica Pura e Applic., 52 : 59-68. DOI: https://doi.org/10.1007/BF01996000

----. 1962b. Alternation of Love Waves in a Low Period Range near a Volcanic Island Margin. Geofisica Pura e Applic., 51 : 47-58. DOI: https://doi.org/10.1007/BF01992648

OBUKHOV, G. G. 1963. The Effect of Periodic Irregularities in a Relief on the Disperssion Curves of Surface Seismic Waves. lzvetiya Akad. Nauk C.C.C.P., Geophys. Ser., No. 4 (en ruso) (in russian).