# Difference between revisions of "1st Lamé parameter"

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## In terms of

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− | The '''1st Lamé parameter''', sometimes called Lamé's first parameter, or lambda ''λ'', is an [[elastic modulus]] | + | [[File:Gabrial-Lamé.jpg|thumb|Gabriel Lamé]] |

+ | The '''1st Lamé parameter''', sometimes called Lamé's first parameter, or lambda ''λ'', is an [[elastic modulus]]. It is used extensively in [[quantitative seismic interpretation]] and [[rock physics]]. It was first described by the French mathematician, [[Wikipedia:Gabriel Lamé|Gabriel Lamé]] (right). | ||

==In terms of ''V''<sub>P</sub> and ''V''<sub>S</sub>== | ==In terms of ''V''<sub>P</sub> and ''V''<sub>S</sub>== | ||

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:<math>\lambda = \frac{E\nu}{(1+\nu)(1-2\nu)}</math> | :<math>\lambda = \frac{E\nu}{(1+\nu)(1-2\nu)}</math> | ||

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+ | The simplest expression casts ''λ'' in terms of bulk modulus and shear modulus ''μ'': | ||

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+ | :<math>\lambda = K - \frac23 \mu</math> | ||

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+ | ==References== | ||

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+ | ==External links== | ||

+ | *[[Wikipedia:First Lamé parameter|First Lamé parameter]] — Wikipedia entry | ||

+ | |||

+ | {{stub}} |

## Revision as of 13:40, 7 September 2011

The **1st Lamé parameter**, sometimes called Lamé's first parameter, or lambda *λ*, is an elastic modulus. It is used extensively in quantitative seismic interpretation and rock physics. It was first described by the French mathematician, Gabriel Lamé (right).

## In terms of *V*_{P} and *V*_{S}

## Other expressions

*λ* can also be expressed in terms of Young's modulus, *E*, and Poisson's ratio, *ν*:

The simplest expression casts *λ* in terms of bulk modulus and shear modulus *μ*:

## References

## External links

- First Lamé parameter — Wikipedia entry

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