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題名 | 運用碎形幾何分析地下水於非飽和層之傳輸試驗研究=A Study of Fractal Analysis on Groundwater Transport in the Unsaturate Zone |
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作者 | 吳瑞賢; 吳祚任; | 書刊名 | 農業工程學報 |
卷期 | 42:2 1996.06[民85.06] |
頁次 | 頁41-49 |
分類號 | 443.67 |
關鍵詞 | 指頭流; 地下水; 碎形; 角規法; 理查森圖; Fingering flow; Groundwater; Fractal; Divider method; Richardsom plot; |
語文 | 中文(Chinese) |
中文摘要 | 本研究分為兩大部份:未飽和層傳輸試驗與碎形分析。在試驗方面,依照未飽和層結構與注入水流方式的不同,有三種不同的實驗方式模擬地下水流況。發現水進入砂層中後,是以分支的方式向下延伸,形成一支支的滲流路徑,即所謂的指頭流(fingering flow)。就滲流的速度而言,可以發現以寬度較大者會有較快的滲流速度。 在碎形分析方面,以角規法與理查森圖分析實驗所得之水與砂層之接觸界面,本研究在分析實驗所得之指頭流外緣接觸界面時,提出對於理查森圖中維度取捨之建議,並提供一套由低精度推求高精度之方式,以解決因影像精度不足所發生資料分析上之困難,並可大量節省在高精度儀器上所需開支。 |
英文摘要 | This study can be categorized into two major parts: infiltration experiment of unsaturated zone and fractal analysis of the interface. Three types of experiment, according to different structures of unsaturated zone sources of water, are conducted to model infiltration flow. Noting that water moves downward into the sand zone in various shapes, forming a path of infiltration, known as the fingering flow. Infiltration rate of a wider finger is relatively faster. As a test of the suitability of divided method and Richardson plot in the fractal analysis, we apply the analysis to the interface between experimental fingering flow and dry sand zone. In the analysis of interface between fingering flow and dry sand zone, we propose the guidelines in the selection of fractal dimension from Richardson plot, and suggest the method of deriving the high precision measurements from low precision measurements. We can reduce the cost in purchasing high precision instruments, since this method improves the precision of measurements. |
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