本文主要探討單一破裂面內寬空間變異性對水流與溶質傳輸特性的影響。文中結合序率方法之Turning Bands方法，探討內寬值效應與相關尺度效應對於其空間變異性之行為，並應用MODFLOW數值模式，探討單一破裂面內寬變異性對水流及溶質傳輸之影響，並與Amadei and Illangasekare (1992)所發展之岩石節理面水流與流場數值模式FLOWA.FOR的結果比對合理性。最後，應用前人實驗室實驗結果之案例來仿真模擬單一破裂面內寬之水流模式的量測與分析，並對數值模式進行模擬分析與結果討論。
應用MODFOLW數值模式模擬結果與Amadei and Illangasekare (1992)所發展模式模擬結果比較顯示，其水流結果相當吻合且水流路徑相當一致，亦驗證MODFLOW可適用模擬岩石破裂面內寬之水流情況。於探討破裂面內寬效應與破裂面內寬相關尺度效應，結果顯示內寬效應中存在複雜的異質性，使其水流通過之路徑變為複雜，內寬值越大，對於溶質傳輸之影響其濃度移動也隨之增快。
由於本文定義相關尺度為描述一隨機變數序列的相關關係，相關尺度越大代表一隨機變數與附近的隨機變數有較大的相關，破裂面內寬相關尺度大之方向，表示此方向之內寬相關性高且內寬變化小。若內寬相關尺度大之方向與水流方向一致時，其連通性高且易成為了滲流的路徑；反之，其與水流方向垂直時，則滲流之路徑增長且造成扭曲變大，使得水流流速緩慢。
在本文比較前人研究實驗案例之中，應用序率模擬方法產生內寬空間分佈場，若僅考慮平均值與標準差來決定整個模擬區域之內寬空間分佈，顯示經過模擬獲得內寬分佈情況與平均流速，和整體研究實驗量測獲得結果相當一致，唯模擬內寬分佈較平均分散；而實驗人工製成之裂面內寬，有分佈不均之現象，部分明顯集中於一區域，亦造成為水流聚集通過之路徑，導致實驗流場表現上與模式模擬結果再小區域之內寬與流速分布，有些微的差異性。

A stochastic approach using the Turning Bands Method was proposed to investigate the effect of aperture spatial variance and correlation scale on groundwater flow and solute transport in a single fracture. The Code MODFLOW is to analyze the influence between the flow and solute transport. Finally, real experiment results of Dijk et al. (1999,2002) is used to validate our simulated results.
In the thesis, a sensitivity case is provided to calibrate the reasonability of MODFLOW model by comparing the analytical model from Amadei and Illangasekare constructed in 1992. It shows that the results from MODFLOW quite coincides with those from Amadei and Illangasekare (1992). The heterogeneity and direction characteristics of the aperture affect flow behaviors. The larger the aperture, the faster the concentration velocity. As the direction of larger correlation scale of the aperture is the parallel to the flow direction, it has high flow paths and small aperture variance; otherwise, as the direction of larger correlation scale is the vertical to the flow direction, it has long path channel and high tortuosity.
By compared results of the real experiment and model simulation, it showed that under considering the same global mean and variance of aperture in both cases, the characteristics of flow velocity and aperture distribution are the same suitably. However, the larger flow paths of real experiment results exists apparently to converge in one region.

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