The Statistical Physics of Sedimentary Rock

DEC 01, 1988

The complexity of million‐year‐old sedimentary rock is being unraveled by such modern concepts of random systems as fractals, percolation and diffusion‐limited growth.

DOI: 10.1063/1.881138

Po‐Zen Wong

Sedimentary rock makes up much of the Earth’s surface and contains two of the most vital fluids for our lives—water and hydrocarbons. Yet physicists have paid little attention to rock, mainly because we are discouraged by its apparent complexity. We are well trained in working with idealized models, but when faced with a piece of rock, not only do we not know where to begin, but we also may question whether it is even possible to find interesting physics in such a “dirty” and uncontrolled system. With further thought, however, we should realize that these are but the usual mental barriers that we have to overcome every time we study something new.

References

1. J. R. Banavar, J. Koplik, K. W. Winkler, eds., Physics and Chemistry of Porous Media II, AIP Conference Proceedings 154, AIP, New York (1987).
2. J. E. Welton, SEM Petrology Atlas, American Association of Petroleum Geologists, Tulsa, Okla. (1984).
3. P.‐z. Wong, J. Koplik, J. P. Tomanic, Phys. Rev. B 30, 6066 (1984). https://doi.org/PRBMDO
E. Guyon, L. Oger, T. J. Plona, J. Phys. D 20, 1637 (1987).https://doi.org/JPAPBE
4. B. B. Mandelbrot, The Fractal Geometry of Nature, Freeman, San Francisco (1982).
5. D. Farin, D. Avnir, in Characterization of Porous Solids, K. K. Unger, D. Behrens, H. Kral, eds., Elsevier, Amsterdam (1988), and references therein.
6. A. H. Thompson, A. J. Katz, C. E. Krohn, Adv. Phys. 36, 625 (1987), and references therein.https://doi.org/ADPHAH
7. P.‐z. Wong, in J. R. Banavar, J. Koplik, K. W. Winkler, eds., Physics and Chemistry of Porous Media II, AIP Conference Proceedings 154, AIP, New York (1987) p. 304.
For a review of the scattering theory and references for various applications, see P.‐z. Wong, A. J. Bray, Phys. Rev. B 37, 7751 (1988); https://doi.org/PRBMDO
J. Appl. Crystallogr. (1988) in press.
8. See, for example, M. H. Cohen, in Physics and Chemistry of Porous Media II, AIP Conference Proceedings 154, J. R. Banavar, J. Koplik, K. W. Winkler, eds., AIP, New York (1987), p. 3.
9. G. E. Archie, AIME Trans. 146, 54 (1942).
10. See, for example, S. Kirkpatrick, in Ill‐Condensed Matter, R. Balian, R. Maynard, G. Toulouse, eds., North Holland, Amsterdam (1979).
11. J. N. Roberts, L. M. Schwartz, Phys. Rev. B 31, 5990 (1985).https://doi.org/PRBMDO
12. D. L. Johnson, T. J. Plona, H. Kojima, in Physics and Chemistry of Porous Media II, AIP Conference Proceedings 154, J. R. Banavar, J. Koplik, K. W. Winkler, eds., AIP, New York (1987), p. 243.
D. L. Johnson, J. Koplik, L. M. Schwartz, Phys. Rev. Lett. 57, 2564 (1986).https://doi.org/PRLTAO
13. B. I. Halperin, S. Feng, P. Sen, Phys. Rev. Lett. 54, 2391 (1985).https://doi.org/PRLTAO
14. See, for example, D. Bensimon, L. P. Kadanoff, S. Liang, B. I. Shraiman, C. Tang, Rev. Mod. Phys. 58, 977 (1986), and references therein.https://doi.org/RMPHAT
15. J.‐D. Chen, Exp. Fluids 5, 363 (1987).https://doi.org/EXFLDU
16. For a review, See L. Sander, Nature 322, 789 (1986); https://doi.org/NATUAS
L. Sander, in The Physics of Structure Formation, W. Guttinger, G. Dangelmayr, eds., Springer‐Verlag, Berlin (1987) p. 257.
17. For a review, see D. A. Kessler, J. Koplik, H. Levine, Adv. Phys. (1988), in press.
18. R. M. Suter, P.‐z. Wong, Phys. Rev. B (to be published).
19. D. Wilkinson, Phys. Rev. A 30, 520 (1984); https://doi.org/PLRAAN
D. Wilkinson, 34, 1380 (1986).
20. R. Lenormand, in Physics and Chemistry of Porous Media II, AIP Conference Proceedings 154, J. R. Banavar, J. Koplik, K. W. Winkler, eds., AIP, New York (1987) p. 98.
R. Lenormand, C. Zarcone, Phys. Rev. Lett. 54, 2226 (1985). https://doi.org/PRLTAO
See also D. Wilkinson, J. Willemsen, J. Phys. A 16, 3365 (1983).https://doi.org/JPHAC5
21. J.‐N. Roux, D. Wilkinson, Phys. Rev. A 37, 3921 (1988).https://doi.org/PLRAAN
22. J. P. Stokes, D. A. Weitz, J. P. Gollub, A. Dougherty, M. O. Robbins, P. M. Chaikin, H. M. Lindsay, Phys. Rev. Lett. 57, 1718 (1986). https://doi.org/PRLTAO
D. A. Weitz, J. P. Stokes, R. C. Ball, A. P. Kushnick, Phys. Rev. Lett. 59, 2967 (1987).https://doi.org/PRLTAO
23. M. Cieplak, M. O. Robbins, Phys. Rev. Lett. 60, 2042 (1988).https://doi.org/PRLTAO
24. See, for example, M. Gerding, ed., Fundamentals of Petroleum, Petroleum Extension Service, Univ. Texas, Austin (1981).
For an overview of science and technology in the oil industry, see D. V. Ellis, Well Logging for Earth Scientists, Elsevier, New York (1987).

More about the Authors

Po‐Zen Wong. University of Massachusetts, Amherst.