Applied Mathematics and Mechanics

, Volume 23, Issue 6, pp 712–720 | Cite as

Sensitivity coefficients of single-phase flow in low-permeability heterogeneous reservoirs

  • Cheng Shi-qing
  • Zhang Shen-zhong
  • Huang Yan-zhang
  • Zhu Wei-yao


Theoretical equations for computing sensitivity coefficients of wellbore pressures to estimate the reservoir parameters in low-permeability reservoirs conditioning to non-Darcy flow data at low velocity were obtained. It is shown by a lot of numerical calculations that the wellbore pressures are much more sensitive to permeability very near the well than to permeability a few gridblocks away from the well. When an initial pressure gradient existent sensitivity coefficients in the region are closer to the active well than to the observation well. Sensitivity coefficients of observation well at the line between the active well and the observation well are influenced greatly by the initial pressure gradient.

Key words

non-Darcy flow through porous media permeability porosity sensitivity coefficient inverse problem low-permeability reservoir 

CLC number



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Copyright information

© Editorial Committee of Applied Mathematics and Mechanics 1980

Authors and Affiliations

  • Cheng Shi-qing
    • 1
  • Zhang Shen-zhong
    • 2
  • Huang Yan-zhang
    • 2
  • Zhu Wei-yao
    • 2
  1. 1.Faculty of Petroleum and Nature GasPetroleum University in BeijingBeijingP R China
  2. 2.Institute of Porous Flow and Fluid MechanicsAcademia SinicaHebeiP R China

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