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題 名 | Estimating the Hydraulic Conductivity and Diffusivity in Unsaturated Porous Media by Fractal Capillary Model=碎形法則推估未飽和多孔介質之水力傳導度及擴散係數 |
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作 者 | 陳樹群; | 書刊名 | 中國工程學刊 |
卷 期 | 21:4 1998.07[民87.07] |
頁 次 | 頁449-458 |
分類號 | 434.273 |
關鍵詞 | 土壤水份保持曲線; 曲折率; 水力傳導度; 毛細管; Soil water retention curve; Tortuosity; Hydraulic conductivity; Capillary tube; |
語 文 | 英文(English) |
中文摘要 | 土壤基質的內部極其複雜,而碎形幾何正足以模擬此種複雜性。傳統上常 以毛細管模式來描述土壤孔隙,但由於孔隙分佈的複雜。以單純的毛細管束勢 必難以模擬,因為孔隙水的流動路徑應是充滿了曲折。故本文乃利用碎形幾何 學之原理建構看細管路,並由實驗求得之土壤水份保持曲線,推求未飽和水力 傳導度及擴散係數。進而求得多孔介質之曲折率比最適值為1.27,相當於 1.208之碎形維度。另由碎形原理而得之曲折因子為0.62,此值符合傳統曲折 因子介於0.60∼0.66之間,再次証明碎形毛細管理論用於多孔介質之優越性。 |
英文摘要 | The geometrical distribution of water within the pores of unsaturated soil texture is very complex. Herein, a physical conceptual model for soil texture and pore structure that is based on the concept of fractal geometry is proposed. Traditionally, a capillary model is popular for representing the pores of soil. Howeveer, it is not easy to construct the complicated distribution of pores using the simple capillary model, because the water within pore path is affected substantially by anfractuosity. In consideration of the above, this study focuses on the application of fractal geometry to establish the capillary flow path in soil, and to estimatged the hydraulic conductivity and diffusivity of unsaturated soil from experimental soil water retention curves. From the results, the fractal dimension of the constructed capillary tube is approximately 1.208 and the optimal value of the tortuosity ratio is 1.27. That is, the tortuosity factor of fractal soil texture is 0.62, in conformity with the experiential value 0.6∼0.66. |
本系統中英文摘要資訊取自各篇刊載內容。