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非穩態法岩心沖排試驗-油水相對滲透率分析程式建立

An Unsteady-state Core-flooding Numerical Program for Determining the Oil-water Relative Permeability

摘要


穩態法兩相流體注入試驗及非穩態法岩心沖排試驗,可用來進行兩相流體相對滲透率參數之求取。若採用岩心沖排試驗時,沖排程序則根據岩石親濕性可區分為浸潤作用與排退作用,進行岩心沖排試驗所觀測之壓力降與孔隙流體生產剖面也有所不同。本研究以Fortran程式語言利用有限差分數值方法建立浸潤與排退作用之數值程式,並利用高斯牛頓法結合拉凡格氏之修正,建立以壓力降及孔隙流體生產剖面為目標函數,藉目標函數最佳化反演相對滲透率。本研究所建立之相對滲透率數值計算程式將應用於文獻已發表岩心沖排試驗之分析,該分析結果與文獻相當吻合。另外,本研究利用數值程式進行不同相對滲透率之敏感度分析,也利用毛細-黏滯力比與流體移形度對岩心沖排試驗之影響做探討,可作為強化採油工法之參考。

並列摘要


The experiments of steady-state two phase fluid injection and unsteady-state core-flooding were usually utilized to investigate the relative permeability of oil and water. Core-flooding procedure could be divided into imbibition and drainage processes according to rock wettability. Pressure drop and pore fluid production were also quite different within this two processes. Both processes are constructed through finite difference using Fortran language in this study, and being embodied in relative-permeability calculation program (RCP). The estimations of relative permeability through Gauss-Newton method with Levenerg-Marquardt modification were also included in RCP. The values of these parameters are chosen to minimize an objective function which consisted of pressure drop and pore fluid production. RCP was applied to analyze the published core-flooding data and showed a good agreement. A series of simulations were performed to investigate sensitivity of relative permeability curves and the effects of the capillary-to-viscous-force ratio and mobility ratio on pressure drop and pore fluid recovery.

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