Mechanics of stratified anisotropic poroelastic media |

if is nearly constant. Or, if is not uniform from one layer to the next (as might happen due to weight of solid overburden pressure), then the third expression in (35) should be modified, by moving inside the averaging operator. So then I have

whenever taken constant is a poor approximation. The results shown in (35) and (36) are easy to reconcile with the definitions of the 's, and the meaning of averaging operator across all layers. When vanishes everywhere, the final results for the averaging and the various stresses and strains are identical to the results in Appendix A. For the drained scenario, the only difference is the addition of equations (35) or (36).

Mechanics of stratified anisotropic poroelastic media |

2010-05-19