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Accurate V p : V s relationship for dry consolidated sandstones
Author(s) -
Arns Christoph H.,
Knackstedt Mark A.,
Pinczewski W. Val
Publication year - 2002
Publication title -
geophysical research letters
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.007
H-Index - 273
eISSN - 1944-8007
pISSN - 0094-8276
DOI - 10.1029/2001gl013788
Subject(s) - poisson distribution , poisson's ratio , phase diagram , porosity , phase (matter) , limiting , mathematics , materials science , thermodynamics , geology , physics , statistics , geotechnical engineering , mechanical engineering , quantum mechanics , engineering
We use a finite element method to study the elastic properties of dry sandstone morphologies. We show that the dry Poisson's ( V p / V s ) ratio becomes independent of the Poisson's ratio of the solid phase at a critical porosity and that this limiting behaviour holds for any number of solid phases and is insensitive to the manner in which the phases are distributed. We represent the behaviour of the Poisson's ratio as a simple flow diagram and present an empirical structure‐property relationship that holds for all Sandstone Morphologies independent of the number of phases and the Poisson's ratio of the solid phase.