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SENSITIVITY OF DARCY'S LAW TO DISCONTINUITIES

SENSITIVITY OF DARCY'S LAW TO DISCONTINUITIES
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摘要 The authors investigate the sensitivity of hydrostatic pressure of flows through porous media with respect to the position of the soil layers. Indeed, these induce discontinuities of the porosity which is a piecewise constant coefficient K of the partial differential equation satisfied by the pressure u and it leads to the computation of the derivative of u with respect to changes in position of discontinuity surface of K.The analysis relies on a mixed formulation of the problem. Preliminary numerical simulations are given to illustrate the theory. An application to a simple inverse problem is also given.
出处 《Chinese Annals of Mathematics,Series B》 SCIE CSCD 2003年第2期205-214,共10页 数学年刊(B辑英文版)
关键词 Partial differential equations Flow through porous media Sensitivity Darcy's equation Topological optimization 灵敏度 Darcy律 偏微分方程 多孔介质 流体静力压力 不连续性 混合公式 导数 存在性 唯一性 正则性 可微性
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参考文献6

  • 1Achdou, Y., Bernardi, C., Coquel, F., Archambeau, F. & Gest, B., Discretisation par volumes finis des equations de Darcy, Rapport EDF HI-83/00/043/A(2001).
  • 2Allaire, G., Shape optimization by the homogenization method, Springer-Verlag, New York, 2001.
  • 3Azaiez, M., Bernardi, C. & Grundmann, M., Methodes spectrales pour les equations du milieu poreux,East-West J. Numer. Anal., 2(1994), 91-105.
  • 4B ruaset, A. M. & Nielsen, B. F., On the stability of pressure and velocity computations for heterogeneous reservoirs, SIAM J. Appl. Math., 56:4(1996), 991-1007.
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