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A general theory for equivalent media

Martin Karrenbach

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ABSTRACT

Conservation of deformation energy, volume and mass lead to a general formulation for finding the static homogeneous equivalent of an arbitrary heterogeneous anisotropic medium. The homogeneous equivalent has identical integral properties and on a large scale, shows the same average behavior in displacements and stresses. The medium is not restricted to a special geometry.

Introduction
EQUIVALENT QUANTITIES
INTERIOR BOUNDARY CONDITIONS
EVALUATION OF VOLUME INTEGRALS
- Field discontinuities
- Energy at a discontinuity surface
THE EQUIVALENT HOMOGENEOUS MEDIUM
Conclusions
References
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Stanford Exploration Project
1/13/1998