# Difference between revisions of "Dictionary:Birch’s law"

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Empirical relations between density <math> \rho </math> in g/cm<sup>3</sup>, P-wave velocity ''V'' in km/s, and mean atomic number ''m''. | Empirical relations between density <math> \rho </math> in g/cm<sup>3</sup>, P-wave velocity ''V'' in km/s, and mean atomic number ''m''. | ||

For nonporous rocks, | For nonporous rocks, | ||

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<center><math>\rho = a(m) = 3.05 V </math></center> | <center><math>\rho = a(m) = 3.05 V </math></center> | ||

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where a(m)=137 for m=21. Alternatively: | where a(m)=137 for m=21. Alternatively: | ||

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<center><math>V= A(m) \rho ^{1.5} </math> or <math>V=a\rho +b </math>,</center> | <center><math>V= A(m) \rho ^{1.5} </math> or <math>V=a\rho +b </math>,</center> | ||

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where ''a, b'' are constants. Named for [[Special:MyLanguage/Albert F. Birch|Albert F. Birch]] (1903-1992), American geophysicist. | where ''a, b'' are constants. Named for [[Special:MyLanguage/Albert F. Birch|Albert F. Birch]] (1903-1992), American geophysicist. | ||

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## Revision as of 23:06, 24 March 2017

Empirical relations between density in g/cm^{3}, P-wave velocity *V* in km/s, and mean atomic number *m*.
For nonporous rocks,

where a(m)=137 for m=21. Alternatively:

where *a, b* are constants. Named for Albert F. Birch (1903-1992), American geophysicist.