Physics
Scientific paper
May 1993
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1993georl..20..847n&link_type=abstract
Geophysical Research Letters (ISSN 0094-8276), vol. 20, no. 9, p. 847-850.
Physics
6
Consolidation, Elastic Waves, Porosity, Sediments, Modulus Of Elasticity, Sandstones
Scientific paper
The elastic framework properties of sediments relate to porosity. Porosity relates to the state of consolidation of sediments. The full range of quasi-static, elastic moduli vs porosity behavior can be incorporated into Gassmann's (1951) equations. I review the Atterberg (1911) limits to establish a basis for discussing the precompaction porosity, phi(0), which corresponds approximately to the Atterberg plastic limit. This porosity is about 0.36-0.40 for sands and sandstones. The ratio of the dry-frame moduli to the effective mineral moduli is (1-phi/phi(0)). I incorporate this ratio into Gassmann's equations, which operate from phi between 0 and phi(0), when sediments have a solid elastic frame. For phi greater than phi(0), when sediments no longer have a solid elastic frame, Gassmann's equations reduce to Reuss's (1929) isostress average for the solid-fluid mixture.
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