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Finite volume modeling method for random process of dispersive flow in porous media |
WANG Changjiang1, JIANG Hanqiao1, QIN Shenggao2, LI Junjian1
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(1.College of Petroleum Engineering in China University of Petroleum, Beijing 102249, China;2.Petroleum Engineering College of Northeast Petroleum University, Daqing 163318, China)
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Abstract: |
A dispersion model with adsorption was derived by finite volume modeling method. It can be simplified to the HLL model and further to the ideal model under certain conditions, of which the physical meanings were analyzed also. Compared with the process of derivation by Markov method, the finite volume modeling method was developed based on statistical mechanism of random processes for the model construction and simplification conditions. In the two methods, the spatial derivative of the drift variable matches along with the particle adsorption item of the convective flux while the spatial derivative of the dispersive variable matches along with the particle adsorption item of the dispersive flux. The results indicate that the bigger the infiltration coefficient, the higher the particle concentration and the larger the dispersion ratio, then the greater the probability density of the particles to be adsorbed. The shorter the sample route of the dispersive particles, the greater the probability density of the particles to be adsorbed. |
Key words: finite volume modeling method convective dispersion equation Markov method particle retention |
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