Induced stresses due to fluid extraction from axisymmetric reservoirs

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.

[1]  Raymond D. Mindlin,et al.  Thermoelastic Stress in the Semi-Infinite Solid , 1950 .

[2]  William Walden Rubey,et al.  The Denver EarthquakeS. , 1968, Science.

[3]  R. Castle,et al.  Seismicity and faulting attributable to fluid extraction , 1976 .

[4]  J. N. Goodiee XCVII. On the integration of the thermo-elastic equations , 1937 .

[5]  Evelyn Roeloffs,et al.  Fault stability changes induced beneath a reservoir with cyclic variations in water level , 1988 .

[6]  Thomas W. Koch Analysis and Effects of Current Movement on an Active Fault in Buena Vista Hills Oil Field, Kern County, California , 1933 .

[7]  R. F. Scott,et al.  Finite element simulation of Wilmington oil field subsidence: I. Linear modelling , 1980 .

[8]  R. Wetmiller Earthquakes near Rocky Mountain House, Alberta, and their relationship to gas production facilities , 1986 .

[9]  J. Geertsma,et al.  Land subsidence above compacting oil and gas reservoirs , 1973 .

[10]  Amos Nur,et al.  An exact effective stress law for elastic deformation of rock with fluids , 1971 .

[11]  D. A. Dunnett Classical Electrodynamics , 2020, Nature.

[12]  M. Baker,et al.  Seismicity in the War-Wink gas field, Delaware Basin, west Texas, and its relationship to petroleum production , 1991 .

[13]  M. Biot General Theory of Three‐Dimensional Consolidation , 1941 .

[14]  B. Noble,et al.  On certain integrals of Lipschitz-Hankel type involving products of bessel functions , 1955, Philosophical Transactions of the Royal Society of London. Series A, Mathematical and Physical Sciences.

[15]  A. Love A treatise on the mathematical theory of elasticity , 1892 .

[16]  Paul Segall,et al.  Earthquakes triggered by fluid extraction , 1989 .

[17]  J. G. Williams,et al.  A Reservoir Analysis of the Denver Earthquakes: A Case of Induced Seismicity (Paper 80B 1095) , 1981 .

[18]  D. J. Smith,et al.  Project Management Of Subsidence And Ekofisk Jacking Project , 1988 .

[19]  J. Bredehoeft,et al.  An Experiment in Earthquake Control at Rangely, Colorado , 1976, Science.

[20]  木村 嘉孝,et al.  ジャクソン著, 西田稔, 寺下陽一訳, 電磁気学I,II, 紀伊国屋書店, 東京, 1972-3, 通巻780ページ, 21.5×16cm, 各巻2,800円〔原著; J.D.Jackson, Classical Electrodynamics, John-Wiley & Sons, New York, 1962〕. , 1973 .

[21]  Paul Segall,et al.  Stress and subsidence resulting from subsurface fluid withdrawal in the epicentral region of the 1983 Coalinga earthquake , 1985 .

[22]  J. grasso,et al.  Ten years of seismic monitoring over a gas field , 1990 .

[23]  W. D. Pennington,et al.  The evolution of seismic barriers and asperities caused by the depressuring of fault planes in oil and gas fields of South Texas , 1986 .

[24]  J. Rice,et al.  Some basic stress diffusion solutions for fluid‐saturated elastic porous media with compressible constituents , 1976 .