1887

Abstract

Summary

Stress estimation in reservoirs and overbuden has become a key point during the exploration and the exploitation of the oil ans gas fields. We propose in this abstract an integrated method to compute a physically admissible (i.e. satisfying the equilibrium equations) 3D stress field in whole geological models. Stress field is computed using a simple elastic behavior and it is constrained to the wellbore data using an inverse approach. Forward problem is solved using a Finite Element Analysis. The model parameters to invert are the Neumann conditions which are assumed to be piecewise linear functions along the vertical direction. The data parameters are stress observations which came from the hydraulic fracturing and the borehole breakouts. Misfit between the computed stress and the observed stress is minimized using the CMA-ES algorithm. The method is tested with a synthetic case by taking a stress field computed with the Limit Analysis method as reference. The inversion results show that the method is able to well retrieve the stress variation in the geological model.

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/content/papers/10.3997/2214-4609.201700935
2017-06-12
2019-12-12
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References

  1. Amadei, B. and Stephansson, O.
    [1997] Rock Stress and Its Measurement. Springer Netherlands, Dordrecht.
    [Google Scholar]
  2. Clark, J.
    [1949] A Hydraulic Process for Increasing the Productivity of Wells. Journal of Petroleum Technology, 1(01), 1–8.
    [Google Scholar]
  3. Driehaus, L., Nalpas, T. and Ballard, J.F.
    [2014] Interaction between deformation and sedimentation in a multidecollement thrust zone: Analogue modelling and application to the Sub-Andean thrust belt of Bolivia. Journal of Structural Geology, 65, 59–68.
    [Google Scholar]
  4. Hansen, N., Müller, S.D. and Koumoutsakos, P.
    [2003] Reducing the Time Complexity of the Derandomized Evolution Strategy with Covariance Matrix Adaptation (CMA-ES). Evolutionary Computation, 11(1), 1–18.
    [Google Scholar]
  5. Madyarov, A. and Savitski, A.
    [2010] Numerical Algorithm For Constructing 3D Initial Stress Field Matching Field Measurements. 44th U.S. Rock Mechanics Symposium and 5th U.S.-Canada Rock Mechanics Symposium.
    [Google Scholar]
  6. Rios, L.M. and Sahinidis, N.V.
    [2013] Derivative-free optimization: a review of algorithms and comparison of software implementations. Journal of Global Optimization, 56(3), 1247–1293.
    [Google Scholar]
  7. Tarantola, A.
    [2005] Inverse Problem Theory and Methods for Model Parameter Estimation. Society for Industrial and Applied Mathematics.
    [Google Scholar]
  8. Wiprut, D. and Zoback, M.D.
    [2002] Fault reactivation, leakage potential, and hydrocarbon column heights in the northern north sea. Norwegian Petroleum Society Special Publications, 11(C), 203–219.
    [Google Scholar]
  9. Zoback, M.D., Barton, C.A., Brudy, M., Castillo, D.A., Finkbeiner, T., Grollimund, B.R., Moos, D.B., Peska, P., Ward, C.D. and Wiprut, D.J.
    [2003] Determination of stress orientation and magnitude in deep wells. International Journal of Rock Mechanics and Mining Sciences, 40(7–8), 1049–1076.
    [Google Scholar]
  10. Zoback, M.D., Moos, D., Mastin, L. and Anderson, R.N.
    [1985] Well bore breakouts and in situ stress. Journal of Geophysical Research, 90(B7), 5523.
    [Google Scholar]
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