LIU Wentao, ZHANG Defu, CHENG Hongjie, et al. Well test model of three parts composite reservoirs with Newton/non-Newton/Newton for polymer flooding[J]. Petroleum Reservoir Evaluation and Development, 2019, (4): 26-30. DOI: 10.13809/j.cnki.cn32-1825/te.2019.04.005.
Well test model of three parts composite reservoirs with Newton/non-Newton/Newton for polymer flooding
Polymer flooding is one of the important means in enhancing oil recovery. Based on the physical process of polymer flooding
the well test model of three parts composite reservoir composed of Newtonian fluid/non-Newtonian power-law fluid/Newtonian fluid was established. The Laplace transform was used to obtain the analytical solution. The analytical solution of Laplace space was inverted to the real space by using Stehfest numerical inversion algorithm
and the double logarithmic theoretical curves of well test analysis describing the seepage characteristics of polymer
flooding process were obtained. According to the characteristic of the derivative curve
four typical flow stages can be identified: the pure well bore effect stage
radial flow stage of inner part
polymer part and outer part. In the radial flow stage of inner part
the double logarithmic curves of the pressure derivative is a horizontal line with the value of 0.5. The larger the radius is
the longer the horizontal line will be. In radial flow stage of polymer part
the double logarithmic curves of the pressure derivative is a line with the slope of (1-
n
)/(3-
n
). The smaller the power law index is
the greater the slope of the derivative curve will be. In the radial flow stage of outer part
the double logarithmic curves of the pressure derivative is a horizontal line with the value of 0.5
M
13
. The model can be used to analyse the effect of polymer flooding and guide the effective interpretation of well test data in polymer flooding reservoirs.
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references
Harald Stehfest.Algorithm 368: Numerical inversion of Laplace transforms [D5][J].Communications of the ACM,1970(1).