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Above we have formally defined the equations which govern the averaging
process (2,3 and 5). Instead of calculating the
volume integral, the problem can be transformed into an evaluation of
surface integrals.
Greens Theorem is valid for tensors of any order. In its most general form
it is written as

| |
(6) |

*A*_{} can be a vector, then is the divergence operator and the
theorem is termed ``Gauss' Theorem'';
or *A*_{} can be a tensor, with the appropriate definition for .

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** Up:** Karrenbach: Equivalent Medium
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Stanford Exploration Project

1/13/1998