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Table 1 List of measurement data, surface area per unit volume of mineral veins, and paleo-permeability tensor

From: Estimation of paleo-permeability around a seismogenic fault based on permeability tensor from observable geometric information of quartz veins

Grid

l [m]

t (×10-3) [m]

S0 [m2/m3]

kij [m2]

ki [m2]

A

0.22

1.27

4.01

\(\left(\begin{array}{ccc}1.12\times {10}^{-9}& 5.71\times {10}^{-12}& -6.87\times {10}^{-11}\\ & 9.33\times {10}^{-10}& -3.46\times {10}^{-10}\\ sym.& & 9.62\times {10}^{-10}\end{array}\right)\)

\(\left(\begin{array}{c}1.31\times {10}^{-9}\\ 1.11\times {10}^{-9}\\ 5.98\times {10}^{-10}\end{array}\right)\)

B

0.11

0.85

7.43

\(\left(\begin{array}{ccc}3.61\times {10}^{-10}& 3.78\times {10}^{-11}& -5.68\times {10}^{-11}\\ & 4.31\times {10}^{-10}& -5.67\times {10}^{-11}\\ sym.& & 4.61\times {10}^{-10}\end{array}\right)\)

\(\left(\begin{array}{c}5.32\times {10}^{-10}\\ 3.88\times {10}^{-10}\\ 3.34\times {10}^{-10}\end{array}\right)\)

C

0.11

0.73

6.39

\(\left(\begin{array}{ccc}2.22\times {10}^{-10}& 4.84\times {10}^{-11}& -4.84\times {10}^{-11}\\ & 2.49\times {10}^{-10}& 4.44\times {10}^{-12}\\ sym.& & 3.37\times {10}^{-10}\end{array}\right)\)

\(\left(\begin{array}{c}3.56\times {10}^{-10}\\ 2.77\times {10}^{-10}\\ 1.74\times {10}^{-10}\end{array}\right)\)

D

0.12

0.81

9.40

\(\left(\begin{array}{ccc}8.48\times {10}^{-10}& 4.96\times {10}^{-11}& -1.36\times {10}^{-10}\\ & 7.16\times {10}^{-10}& -3.92\times {10}^{-11}\\ sym.& & 9.67\times {10}^{-10}\end{array}\right)\)

\(\left(\begin{array}{c}1.07\times {10}^{-9}\\ 7.66\times {10}^{-10}\\ 6.99\times {10}^{-10}\end{array}\right)\)

E

0.14

0.67

11.96

\(\left(\begin{array}{ccc}2.97\times {10}^{-10}& 8.57\times {10}^{-11}& -5.92\times {10}^{-11}\\ & 6.99\times {10}^{-10}& 2.37\times {10}^{-11}\\ sym.& & 7.96\times {10}^{-10}\end{array}\right)\)

\(\left(\begin{array}{c}8.05\times {10}^{-10}\\ 7.15\times {10}^{-10}\\ 2.72\times {10}^{-10}\end{array}\right)\)

F

0.09

0.71

11.14

\(\left(\begin{array}{ccc}2.52\times {10}^{-10}& -1.57\times {10}^{-11}& -3.59\times {10}^{-11}\\ & 5.60\times {10}^{-10}& -4.65\times {10}^{-11}\\ sym.& & 5.65\times {10}^{-10}\end{array}\right)\)

\(\left(\begin{array}{c}6.09\times {10}^{-10}\\ 5.20\times {10}^{-10}\\ 2.47\times {10}^{-10}\end{array}\right)\)

G

0.14

0.62

10.21

\(\left(\begin{array}{ccc}1.20\times {10}^{-10}& 1.90\times {10}^{-11}& 9.89\times {10}^{-12}\\ & 2.46\times {10}^{-10}& -1.19\times {10}^{-11}\\ sym.& & 2.96\times {10}^{-10}\end{array}\right)\)

\(\left(\begin{array}{c}2.99\times {10}^{-10}\\ 2.47\times {10}^{-10}\\ 1.16\times {10}^{-10}\end{array}\right)\)

  1. Here, ki is the principal permeability of kij