Analysis of thomsen parameters for finely layered VTI media

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The range of Thomsen`s anisotropy parameters {epsilon} and {delta} for vertical transversely isotropic (VTI) media when the anisotropy is due to fine layering of isotropic elas-tic materials is considered. We show that {epsilon} lies in the range -3/8 {<=} {epsilon} {<=} {1/2}[<v{sub p}{sup 2}><v{sup p}{sup -2}>-1], for finely lay-ered media having constant density; smaller positive and all negative values of {epsilon} occur for media with large fluctuations in the Lam{acute e} parameter {lambda} We show that sign({delta}) = sign (<v{sub p}{sup -2}> - <v{sub s}{sup -2}><v{sub s}{sup 2}/v{sub p}{sup 2}>) for constant density media, so {delta} can be either positive ... continued below

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7 p.

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Berryman, J.G. & Berge, P.A. April 1, 1997.

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The range of Thomsen`s anisotropy parameters {epsilon} and {delta} for vertical transversely isotropic (VTI) media when the anisotropy is due to fine layering of isotropic elas-tic materials is considered. We show that {epsilon} lies in the range -3/8 {<=} {epsilon} {<=} {1/2}[<v{sub p}{sup 2}><v{sup p}{sup -2}>-1], for finely lay-ered media having constant density; smaller positive and all negative values of {epsilon} occur for media with large fluctuations in the Lam{acute e} parameter {lambda} We show that sign({delta}) = sign (<v{sub p}{sup -2}> - <v{sub s}{sup -2}><v{sub s}{sup 2}/v{sub p}{sup 2}>) for constant density media, so {delta} can be either positive or negative. Among all theoretically possible random media, posi-tive and negative {delta} are equally likely in finely layered media limited to two types of constituent layers. Lay-ered media having large fluctuations in Lam{acute e} {lambda} are the ones most likely to have positive {delta}. Since Gassmann`s results for fluid-saturated porous media show that the effects of fluids influence only the {lambda} Lam{acute e} constant, not the shear modulus {mu}, these results suggest that positive {delta} occurring together with positive but small {epsilon} may be indicative of changing fluid content in layered earth.

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7 p.

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INIS; OSTI as DE98050929

Other: FDE: PDF; PL:

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  • 67. annual meeting and expo of the Society of Exploration Geophysicists (SEG), Dallas, TX (United States), 2-7 Nov 1997

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  • Other: DE98050929
  • Report No.: UCRL-JC--127249
  • Report No.: CONF-971111--
  • Grant Number: W-7405-ENG-48
  • Office of Scientific & Technical Information Report Number: 303869
  • Archival Resource Key: ark:/67531/metadc688421

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  • April 1, 1997

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  • July 25, 2015, 2:20 a.m.

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  • April 6, 2017, 6:01 p.m.

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Berryman, J.G. & Berge, P.A. Analysis of thomsen parameters for finely layered VTI media, article, April 1, 1997; California. (digital.library.unt.edu/ark:/67531/metadc688421/: accessed September 23, 2017), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.