D Anisotropy in paleomagnetism

Appendix D
Anisotropy in paleomagnetism

D.1 The 15 measurement protocol

The Jelinek (1978) 15 measurement scheme is illustrated in Figure ??. This is the procedure recommended in the manual distributed with the popular Kappabridge susceptiblity instruments. In the 15 measurement case shown in Figure ??, the design matrix is:
     ( .5  .5   0  - 1   0    0 )
     | .5  .5   0   1    0    0 |
     |                         |
     || 1   0   0   0    0    0 ||
     || .5  .5   0  - 1   0    0 ||
     || .5  .5   0   1    0    0 ||
     || 0   .5   .5   0   - 1   0 ||
     || 0   .5   .5   0    1    0 ||
A  = | 0   1   0   0    0    0 | ,
     || 0   .5   .5   0   - 1   0 ||
     ||                         ||
     || 0   .5   .5   0    1    0 ||
     || .5  0   .5   0    0   - 1 ||
     | .5  0   .5   0    0    1 |
     || 0   0   1   0    0    0 ||
     ( .5  0   .5   0    0   - 1 )
       .5  0   .5   0    0    1
(D.1)

and B = 1 _ 20×
(  3    3    8   3    3   - 2  - 2  - 2 - 2  - 2   3   3   - 2   3    3 )
|  3    3   - 2  3    3    3    3   8    3    3   - 2  - 2 - 2  - 2  - 2 |
||                                                                       ||
|| - 2  - 2  - 2  - 2 - 2   3    3   - 2  3    3    3   3    8    3    3 || .
| - 5   5    0   - 5  5    0    0   0    0    0    0   0    0    0    0 |
(  0    0    0   0    0   - 5   5   0   - 5   5    0   0    0    0    0 )
   0    0    0   0    0    0    0   0    0    0   - 5  5    0   - 5   5
                                                                     



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