數值模擬法分析水錐現象對產率大小及出水時間之研究

Analysis of Water Coning Behavior on Critical Rate and Breakthrough Time by Numerical Simulation Method

鄒貴慈(K.T. Chou) ； 謝秉志(B.Z. Hsieh) ； 林再興(Z.S. Lin)

《鑛冶：中國鑛冶工程學會會刊》 50卷1期 (2006/03) Pp. 34-41

https://doi.org/10.30069/MM.200603_50(1).0003

摘要

本研究的主要目的是利用數值模擬方法建立水錐預測模式，以研究水錐臨界產率及水錐貫穿時間，並建立水錐半徑估算式以修正Meyer and Garder（1954）臨界產率解析模式。本研究利用油水兩相數值模擬研究不同產率下的水錐高度隨時間之變化，以分析水錐臨界產率以及水錐貫穿時間。首先利用臨界產率下的水錐半徑随時間之變化以及壓力影響半徑隨時間之變化，而推導水錐半徑方程式。利用本研究所推導之水錐半徑方程式配合Meyer and Garder（1954）的解析模式計算臨界產率後所得之結果與數值模擬之結果更接近，另外，將更好的臨界產率值代入Hagoort（1988）解析模式計算水錐貫穿時間後所得之結果，也與數值模擬結果更為接近。

關鍵字

水錐 ； 數值模擬 ； 臨界產率 ； 貫穿時間 ； 水錐半徑

並列摘要

The purpose of this study is to use numerical simulation to study the influences of critical rate and breakthrough time by water coning, and to develop the coning radius equation for modifying the analytical solution of critical rate. An oil-water two phase reservoir is simulated in this study. The coning radius equation is derived by studying the behavior of water coning at different production rates. A good agreement of calculated critical rates from numerical simulation and from analytical model of Meyer and Garder (1954) is obtained if the coning radius equation derived in this study is used in Meyer and Garder (1954) model. Also a good agreement of calculated breakthrough time from numerical simulation and from analytical model of Hagoort (1988) is obtained because of using good result of critical rate used in Hagoort (1988) model.

並列關鍵字

Water coning ； Numerical simulation ； Critical rate ； Breakthrough time ； Coning radius