Inverse problem in anisotropic poroelasticity: Drained constants from undrained ultrasound measurements

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Poroelastic analysis has traditionally focused on the relationship between dry or drained constants which are assumed known and the saturated or undrained constants which are assumed unknown. However, there are many applications in this field of study for which the main measurements can only be made on the saturated/undrained system, and then it is uncertain what the eects of the uids were on the system, since the drained constants remain a mystery. The work presented here shows how to deduce drained constants from undrained constants for anisotropic systems having symmetries ranging from isotropic to orthotropic. Laboratory ultrasound data are then ... continued below

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Berryman, J.G. & Nakagawa, S. November 20, 2009.

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Poroelastic analysis has traditionally focused on the relationship between dry or drained constants which are assumed known and the saturated or undrained constants which are assumed unknown. However, there are many applications in this field of study for which the main measurements can only be made on the saturated/undrained system, and then it is uncertain what the eects of the uids were on the system, since the drained constants remain a mystery. The work presented here shows how to deduce drained constants from undrained constants for anisotropic systems having symmetries ranging from isotropic to orthotropic. Laboratory ultrasound data are then inverted for the drained constants in three granular packings: one of glass beads, and two others for distinct types of more or less angular sand grain packings. Experiments were performed under uniaxial stress, which resulted in hexagonal (transversely isotropic) symmetry of the poroelastic response. One important conclusion from the general analysis is that the drained constants are uniquely related to the undrained constants, assuming that porosity, grain bulk modulus, and pore uid bulk modulus are already known. Since the resulting system of equations for all the drained constants is linear, measurement error in undrained constants also propagates linearly into the computed drained constants.

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  • Journal Name: Journal of the Acoustical Society of America; Related Information: Journal Publication Date: 2009

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  • Report No.: LBNL-3013E
  • Grant Number: DE-AC02-05CH11231
  • Office of Scientific & Technical Information Report Number: 982045
  • Archival Resource Key: ark:/67531/metadc1014143

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  • November 20, 2009

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  • Oct. 14, 2017, 8:36 a.m.

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  • Oct. 18, 2017, 10:08 a.m.

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Berryman, J.G. & Nakagawa, S. Inverse problem in anisotropic poroelasticity: Drained constants from undrained ultrasound measurements, article, November 20, 2009; Berkeley, California. (digital.library.unt.edu/ark:/67531/metadc1014143/: accessed October 15, 2018), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.