氣體滲透率之測定及孔隙介質中流體的流動狀態之分析研究

Determination of Gas Permeability and Study of Gas Flow in Porous Meida

林再興(Zsay-Shing Lin) ； 陳永隆(Yeong-Long Chen)

《鑛冶：中國鑛冶工程學會會刊》 35卷2期 (1991/06) Pp. 77-88

https://doi.org/10.30069/MM.199106_35(2).0008

摘要

本研究是要發展不穩定狀態的數學模式，並分析實驗室的資料，以計算氣體滲透率，並探討一些影響氣體在孔隙介質流動之因子。數學模式係根據質量不滅定律、真實氣體定律、非達西流動方程式、肯金堡效應關係式及地層壓縮性等五個基本理論而推導出。在實驗室裏，將岩樣經過處理後放入實驗設備中，測出岩樣出口流率隨時間之變化情形，然後依據所得之數學模式，配合最佳化方法來分析實驗所得之資料，以求得實驗岩樣之地層參數──滲透率、肯金堡係數及亂流因子等，利用不穩定流動狀態的模擬程式計算氣體滲透率所需電腦計算的時間，與利用穩定流動狀態的數學模式所需電腦計算的時間相比較，雖然前者較長，但其主要優點是準確度高，而且實驗過程中所需之時間較短。最後，在本研究裏利用不穩定流動狀態的模擬程式進一步預測（或模擬）流體在孔隙介質内的流動狀態，如岩樣內各點之壓力或流率隨時間之變化，並針對滲透率、孔隙率、氣體黏度、肯金堡係數和亂流因子等參數，探討其對流體流動狀態的影響，可供日後相關研究的參考。

並列摘要

The purpose of this study is to develop an unsteady state mathematical model to analyze the data taken from laboratory test to calculate permeability. The mathematical model of unsteady-state flow is derived from law of conservation of mass, real gas law, non-Darcy flow equation, Klinkenberg effect, and formation compressibilities. The sample to be tested is treated before it is placed in the equipment. The downstream flow rate data during laboratory test can be measured by computerized recorder. The parameters (such as, absolute permeability, Klinkenberg coefficient and turbulence factor) of test core sample can be estimated by numerical solution of the mathatical model with optimization technique. The computer time needed or the complexity of solution technique to analyze unsteady-state test data is much more than it to analyze steady-state test. However, the results obtained from unsteady-state test is better than those from steady state test. Furthermore, this work also studies or predicts the parameters affecting the flow of gas through porous media. Among these parameters are permeability, porosity. viscosity, Klinkenberg coefficient, and turbulence factor, etc. These results may be valuable for advanced studies in the near future.