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(a) (b)
Fig. 3.
Simulated result. (a) exterior; (b) cross-sections (X=40, Y=40, Z=20)
The average and variance of the simulated result and original data are respectively
shown in Table 1, showing that the average and variance of the original data and
simulated results are similar.
Table 1.
The average and variance of original porosity data and simulated result
original data
simulated
result
porosity average
0.513
0.521
porosity variance
0.063
0.061
4
Conclusions
A porosity simulation method using Cholesky decomposition and conditioning data is
proposed to realize the simulation of porosity. Cholesky decomposition has the
advantage of needing to be performed only once, and then multiple realizations are
generated at the cost of a mere matrix multiplication. The experimental results show
that the simulated results are similar to the original porosity data, proving that our
method is practical.
Acknowledgments.
This work is supported by the Innovation Program of Shanghai
Municipal Education Commission (09YZ454), and Shanghai Municipal Natural
Science Foundation (No. 11ZR1413700, No. 12ZR1412000)
References
1.
Zhang, T., Lu, D.T., Li, D.L.: Porous media reconstruction using a cross-section image and
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2009)
2.
Zhang, T., Lu, D.T., Li, D.L.: A statistical information reconstruction method of images
based on multiple-point geostatistics integrating soft data with hard data. In: Proceedings of
ISCSCT 2008, Shanghai, China, vol. 1, pp. 573-578 (December 2008)
3.
Lu, D.T., Zhang, T., Yang, J.Q., Li, D.L., Kong, X.Y.: A reconstruction method of porous
media integrating soft data with hard data. Chinese Science Bulletin 54(11), 1876-1885
(2009)
