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The bulk modulus *K* for the layered system is well-defined. Assuming
that the external compressional/tensional stresses are hydrostatic so that
, and the total
volume strain is *e* = *e*_{11} + *e*_{22} + *e*_{33}, we find directly that

| |
(16) |

where, after some rearrangment of the resulting expressions, we have
| |
(17) |

The new terms in (18) are defined by
| |
(18) |

and are measures of shear behavior in the simple layered system.
We can write the formula (18) this way, or in another suggestive form
| |
(19) |

in anticipation of results concerning various shear modulus measures that will
be discussed at length in the next section.

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** Up:** BULK MODULUS K AND K_{eff}
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Stanford Exploration Project

7/8/2003