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SOLUTIONS FOR COUNTERCURRENT SPONTANEOUS IMBIBITION AS DERIVED BY MEANS OF A SIMILARITY APPROACH

Volume 18, Numéro 2, 2015, pp. 113-124
DOI: 10.1615/JPorMedia.v18.i2.30
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RÉSUMÉ

A major portion of oil in water-wet fractured reservoirs is produced as a result of countercurrent spontaneous imbibition. Recently, there has been much research in experimental and mathematical analysis of this process. However, the actual physics of this process at the micro-scale is not completely understood. The governing equation of countercurrent spontaneous imbibition is of the diffusion type and is highly nonlinear; therefore, an exact closed-form analytical solution for this equation seems impossible. In the present paper, a basic solution is developed for this process and tested against numerical simulation results. Also, new numerical solution methods are presented to solve the governing equation of this process in one dimension using a similarity variable. Finally, an approximate iteration-based analytical solution is presented that is both stable and accurate.

CITÉ PAR
  1. Kapranov Yu. I., Distinctive features of countercurrent capillary imbibition, Fluid Dynamics, 51, 2, 2016. Crossref

  2. Gao Jun , Kwak Hyung T., AlSinan Marwah , Wettability Study of Mixed-Wet Carbonate with Multiple Pore Systems Using Advanced In-Situ MRI Technologies, Day 1 Tue, October 29, 2019, 2020. Crossref

  3. Standnes D. C., Andersen P. Ø., Papatzacos P., Skjæveland S. M., Interpretation of 1-D Counter-Current Spontaneous Imbibition Processes Using Microscopic Diffusion Theory and a Modified Buckley–Leverett Approach, Energy & Fuels, 34, 5, 2020. Crossref

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