本研究的主要目的是建立導電性地層之含水飽和度估算模式（簡稱為MCRMM模式），並利用最佳化法求得X油田之含水飽和度估算模式中的區域性經驗常數（撓曲因子（a）、膠結因子（m）、飽和度指數（n）、MCRMM參數（b’）及容積岩基電阻率（Rr））。

本研究結合Winsauer等人（1952）所提出的地層因子方程式及Givens（1987）提出之含水飽和度估算模式而推導出導電性地層之含水飽和度估算模式。利用最佳化法計算區域性經驗常數時，是將岩心含水飽和度與由岩心孔隙率、地層水電阻率及地層真電阻率（由井下電測資料計算而得）計算所得之含水飽和度進行比對，當其差值之平方和為最小時，此時所推算的區域性經驗常數即為最佳值。本研究除了使用所推導的MCRMM模式計算地層含水飽和度之外，也使用了Archie方程式及Givens模式，以作比較之用。

本研究利用Archie方程式、Givens模式以及本研究推導的MCRMM模式分別分析X油田之中的G-1井全層資料及G-2井全層資料；也將G-1井及G-2井內M砂岩層的資料依照不同的生產層（A層、C層及F層）分別進行研究。由X油田的G-1井及G-2井之岩心孔隙率、岩心含水飽和度、地層真電阻率及地層水電阻率資料，除了求得地層的撓曲因子（a）、膠結因子（m）及飽和度指數（n）之外，也求得MCRMM參數（b’）及容積岩基電阻率（Rr）等區域性常數。計算結果顯示，由本研究所推導之MCRMM模式計算所得之均方差值為最小，MCRMM模式的計算結果為最佳。

The purpose of this study is to develop a water saturation model of the conductive formation and to calculate the regional parameters of the model by optimization method.

The water saturation model of the conductive formation (called modified conductive rock matrix model, MCRMM) are developed basing on the formation factor equation from Winsauer et al. (1952) and the conductive rock matrix model (CRMM) from Givens (1987). The regional parameters of X-field are derived by optimization method in which the objective function is the minimum of the mean square error of the calculated water saturation and core water saturation. The well logging data of G-1 and G-2 wells, in A, C and F formation of the X-field are used to calculate the water saturations by MCRMM, CRMM and Archie’s equation (or model) in this study. In other words, MCRMM parameter (b’), bulk resistivity of the rock framework (Rr), tortuosity factor (a), cementation exponent (m) and saturation exponent (n) are calculated for X-field. The objective function calculated by MCRMM is smaller than other models. That is, the estimation results of MCRMM from this study are better than other models from literatures.

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