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We used the first derivative in our fitting goal to remove the shifts between tracks. As was done previously in (), I tested the nature of the residual by estimating a 1D PEF on it, to see if correcting the weighting operator made difference. If the estimated PEFs are not first derivatives, then we would want to use one of them in our fitting goals instead of 637#637. The PEFs look like first derivatives, but in the case of the PEFs with more than three terms, it isn't obviously a first derivative. We will need to look at the impulse response of the inverse PEF to get a better idea of the nature of the PEFs.
Figure:
A composite porous medium is composed of two distinct
types of porous solid (1,2).
In the model illustrated here and treated in the text,
the two types of materials are well-bonded but
themselves have very different porosity types, one being a storage
porosity (type-1) and the other (type-2) being a transport porosity
(and therefore fracture-like, or tube-like as illustrated in
cross-section in this diagram).
PEF |
|
Coef 497#497 |
Coef 642#642 |
Coef 643#643 |
Coef 644#644 |
Coef 645#645
2 terms |
|
1.00 |
-1.00 |
Next: Dealing with sparse data
Up: Prucha and Biondi: STANFORD
Previous: Looking at data-space
Stanford Exploration Project
6/7/2002