pure and applied geophysics

, Volume 139, Issue 3–4, pp 535–560 | Cite as

Induced stresses due to fluid extraction from axisymmetric reservoirs

  • Paul Segall


Earthquakes can be induced by fluid extraction, as well as by fluid injection.Segall (1989) proposed that poroelastic stresses are responsible for inducing earthquakes associated with fluid extraction. Here, I present methods for computing poroelastic stress changes due to fluid extraction for general axisymmetric reservoir geometries. The results ofGeertsma (1973) for a thin disk reservoir with uniform pressure drop are recovered as a special case. Predicted surface subsidence agrees very well with measured leveling changes over the deep Lacq gas field in southwestern France. The induced stresses are finite if the reservoir pressure changes are continuous. Computed stress changes are on the order of several bars, suggesting that the preexisting stress states in regions of extraction induced seismicity are very close to frictional instability prior to production.

Key words

Induced seismicity poroelasticity fluid extraction 


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  1. Biot, M. A. (1941),General Theory of 3-dimensional Consolidation, J. Appl. Phys.12, 155–164.Google Scholar
  2. Doser, D. I., Baker, M. R., andMason, D. B. (1991),Seismicity in the War-Wink Gas Field, Delaware Basin, West Texas, and its Relationship to Petroleum Production, Bull. Seismol. Soc. Am.81, 971–986.Google Scholar
  3. Eason, G., Noble, B., andSneddon, I. N. (1955),On Certain Integrals of Lipschitz-Hankel Type Involving Products of Bessel Functions, Phil. Trans. Royal Soc. London A247, 529–551.Google Scholar
  4. Geertsma, J. (1973),Land Subsidence above Compacting Oil and Gas Reservoirs, J. Pet. Tech.25, 734–744.Google Scholar
  5. Goodier, J. N. (1937),On the Integration of the Thermoelastic Equations, Phil. Mag.7, 1017–1032.Google Scholar
  6. Grasso, J. R., andWittlinger, G. (1990),10 Years of Seismic Monitoring over a Gas Field Area, Bull. Seismol. Soc. Am.80, 450–473.Google Scholar
  7. Healy, J. H., Rubey, W. W., Griggs, D. T., andRaleigh, C. B. (1968),The Denver Earthquakes, Science161, 1301–1310.Google Scholar
  8. Hsieh, P. A., andBredehoeft, J. D. (1981),A Reservoir Analysis of the Denver Earthquakes: A Case Study of Induced Seismicity, J. Geophys. Res.86, 903–920.Google Scholar
  9. Jackson, J. D.,Classical Electrodynamics (John Wiley and Sons, New York 1962).Google Scholar
  10. Koch, T. W. (1933),Analysis and Effects of Current Movements on an Active Fault in the Buena Vista Hills Oil Field, Kern County, California, Bull. Am. Assoc. Pet. Geol.17, 694–712.Google Scholar
  11. Kosloff, D., Scott, R. F., andScranton, J. (1980a),Finite Element Simulation of Wilmington Oil Field Subsidence: I. Linear Modeling, Tectonophysics65, 339–368.Google Scholar
  12. Kosloff, D., Scott, R. F., andScranton, J. (1980b),Finite Element Simulation of Wilmington Oil Field Subsidence: II. Nonlinear Modeling, Tectonophysics65, 159–183.Google Scholar
  13. Love, A. E. H.,A Treatise on the Mathematical Theory of Elasticity (Dover, New York 1944).Google Scholar
  14. Mindlin, R. D., andCheng, D. H. (1950),Thermoelastic Stress in the Semi-infinite Solid, J. Appl. Phys.21, 931–933.Google Scholar
  15. Nowacki, W.,Thermoelasticity (Pergamon Press, Oxford 1962).Google Scholar
  16. Nur, A., andByerlee, J. D. (1971),An Exact Effective Stress Law for Elastic Deformation of Rock with Fluids, J. Geophys. Res.76, 6414–6419.Google Scholar
  17. Pennington, W. D., Davis, S. D., Carlson, S. M., Dupree, J. D., andEwing, T. E. (1986),The Evolution of Seismic Barriers and Asperities Caused by the Deprëssuring of Fault Planes in Oil and Gas Fields of South Texas, Bull. Seismol. Soc. Am.76, 939–948.Google Scholar
  18. Raleigh, C. B., Healy, J. H., andBredehoeft, J. D.,Faulting and crustal stress at Rangely, Colorado. InFlow and Fracture of Rocks (Griggs volume) (Am. Geophys. Union Geophys. Monograph16, Washington, D.C. 1972) pp. 275–284.Google Scholar
  19. Raleigh, C. B., Healy, J. H., andBredehoeft, J. D. (1976),An Experiment in Earthquake Control at Rangely, Colorado, Science191, 1230–1237.Google Scholar
  20. Rice, J. R., andCleary, M. P. (1976),Some Basic Stress Diffusion Solutions for Fluid-saturated Elastic Porous Media with Compressible Constituents, Rev. Geophys. and Space Phys.14, 227–241.Google Scholar
  21. Roeloffs, E. A. (1988),Fault Stability Changes Induced Beneath a Reservoir with Cyclic Variations in Water Level, J. Geophys. Res.93, 2107–2124.Google Scholar
  22. Segall, P. (1985),Stress and Subsidence Resulting from Subsurface Fluid Withdrawal in the Epicentral Region of the 1983 Coalinga Earthquake, J. Geophys. Res.90, 6801–6816.Google Scholar
  23. Segall, P. (1989),Earthquakes Triggered by Fluid Extraction, Geology17, 942–946.Google Scholar
  24. Smith, D. J. (1988),Project Management of Subsidence and Ekofisk Jacking Project, 20th Annual Offshore Technology Conference, pp. 341–358.Google Scholar
  25. Sulak, R. M., andDanielson, J. (1988),Reservoir Aspects of Ekofisk Subsidence, 20th Annual Offshore Technology Conference, pp. 9–30.Google Scholar
  26. Westmiller, R. J. (1986),Earthquakes near Rocky Mountain House, Alberta and their Relationship to Gas Production, Canadian J. Earth Sciences23, 172–181.Google Scholar
  27. Yerkes, R. F., andCastle, R. O. (1970),Surface Deformation Associated with Oil and Gas Field Operations in the United States, Land Subsidence, volume 1 (Int. Assoc. Sci. Hydrol., UNESCO Publication 89, 1970) pp. 55–66.Google Scholar
  28. Yerkes, R. F., andCastle, R. O. (1976),Seismicity and Faulting Attributable to Fluid Extraction, Engineering Geology10, 151–167.Google Scholar

Copyright information

© Birkhäuser Verlag 1992

Authors and Affiliations

  • Paul Segall
    • 1
  1. 1.Department of GeophysicsStanford University and U.S. Geological SurveyMenlo ParkUSA

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