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 若假設沉陷僅限制於垂直方向，而地下水流動也侷限於水平面則分析解的兩控制參數為擴散係數D0與抽水係數N0。針對直角座標系統，分析解採用正在抽水當中的階段。本論文首先依據自受限飽和含水層超抽地下水，而導致地層下陷的最明顯特徵，由兩控制參數的定義，推算其最大可能範圍。其次，本論文針對屏東縣林邊及其鄰近地區的現有資料予以蒐集整理與分析，期間大致自民國六十九年到七十年。以井數（口）為主的統計資料計有：井徑、抽水量、抽水日數及井深度；地點為林邊和佳冬。此外，還有各水準點各時期下陷量之統計、歷年地下水位觀測記錄與地下水位觀測井地層柱狀資料。依據上述資料以統計方法求得了各相關項目的對等量或代表量，例如抽水量、抽水時間、位置與抽水井徑。在前述兩控制參數的最大可能範圍之考慮與限制下，分兩方面進行：一是利用地層柱狀資料，由兩控制參數之定義，求得參數之「估算值」的範圍，其中以抽水係數N0的「估算值」之範圍作為基礎，以其平均值或加權值作為抽水係數N0的對等量。二是根據沉陷量、抽水量的對等量、井裡的對等量以及抽水時間的對等量，由分析解反求控制參數的「計算值」，其結果為一關係曲線；按著，就可由輸入抽水量的對等量，利用此關係曲線求得擴散係數D0的「計算值」，其值就視為擴散係數的對等量。採用此方法分析了六個地點的控制參數：林邊、水利村、塭豐、燄塭、頂寮與佳冬，其結果列於表十四至十九。
 If it is assumed that the land subsidence is restricted to a vertical direction only, and also assumed the flow of the gronudwater is in a horizontal plane only, then there are only two controlling parameters in the analytical solution to be considered, i.e., the diffusivity D0 and the pumping coefficient N0. First, based upon the most obvious character of the land subsidence due to an over-draft of the groundwater from a confined aquifer, the maximum possible ranges of the above two controlling parameters are determined from definitions of the two controlling parameters. And then, the collection, the surveying, the rearrangement and the analysis of data of Pingtong, in the period from 1970 to 1971, are performed. Based the number of Well, there are data for different well sizes, different pumping discharges, different pumping periods, and different well depths; locations selected to survey are Linpen and Chatong. In addition, there are records ofthe land subsidence for different period, records of groundwater depth hydrograph, and records of soil structure and soil texture. From the above data by marking use the statistical method are obtained equivalent quantities or representative quantities for several items, such as the pumping discharge, the pumping period, the well location, and the well size. Subject to the limitation and the consideration of the maximum possible of the two controlling parameters as mentioned above, the study is carried out in two different distinguished directions. Firstly, based upon data of soil structure and soil texture, the range of 'estimated value' of the two controlling parameters are calculated from definitions of the two controlling parameters. The averaged value or the weighted value of the range of the 'estimated value' of the pumping coefficient N0 is treated as the equivalent quantity of the pumping coefficient N0. Secondly, based the field data of the land subsidence, and equivalent quantities for the pumping discharge, for the well size and for pumping period, the analytical solution will inversely end np with a functional relationship between 'calculated values' of the two controlling parameters instead of two 'calculated values'. Finally, by inputting the equivalent quantity of the pumping coefficient N0 as already obtained, the above functional relationship of 'calculated values' of the two controlling parameters will give the equivalent quantity of the drffusivity D0. The same procedures are performed to determined the equivalent quantities of the two controlling parameters at the several locations: Linpen, Shuilee, Wanfong, Yanwan, Tinlaw, and Chatong, and the results are listed in tables from 14 to 19.
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