破裂岩層中溶質傳輸之徑向延散模式分析及應用於示蹤劑試驗

Analysis of Radial Dispersion for Solute Transport and Its Application to a Tracer Test in Fractured Rocks

陳榮華(Rong-Hwa Chen) ； 張善順(Shan-Shuen Chang) ； 李振誥(Cheng-Haw Lee) ； 陳寒濤(Han-Tau Chen)

《鑛冶：中國鑛冶工程學會會刊》 42卷2期 (1998/06) Pp. 115-126

https://doi.org/10.30069/MM.199806_42(2).0012

摘要

本文主要是探討利用井測示蹤劑試驗資料來模擬污染物在破裂岩層傳輸行為之數值分析，且示蹤劑之注入方式為連續注入及瞬間注入。文中首先以實數空間定義域之有限差分法模擬破裂岩層中發散型示蹤劑試驗之傳輸行為。另外，以拉普拉斯定義域之有限差分法探討發散型示蹤劑試驗之數值解，並與前人已發展之半解析解作比較。進而利用此兩種模式所得之標準曲線，與美國Oracle地區現場示蹤劑試驗所得之穿透曲線進行套合，以估計破裂岩層之延散度、孔隙率、內寬值及Pe值。研究結果顯示，利用實數空間定義域模式套合現場穿透曲線，得到孔隙率φ約為0.066、地層當量內寬為0.0106m、延散度α約為0.66m、Pe值為7.85。利用拉普拉斯定義域模式數值解與前人之半解析解比較，當Pe值較小時，兩者結果有些差異，當Pe值大時，則模擬結果很接近，至於套合現場穿透曲線結果，顯示Pe值為6.75。

關鍵字

破裂岩層 ； 溶質傳輸 ； 發散型徑向流試驗 ； 延散度

並列摘要

This paper is to study the behavior of the solute transport in fractured rocks by means of have been divergent flow tracer test. Two models used to analyze and interpretate field tracer test, model 1 is based on finite difference method in real domain, and model 2 is based on finite difference methed in Laplace domain. Model 1 can be accommodated a pulse, step increase, and arbitrary injection to simulate the concentration distribution. Model 2 has been developed with finite difference method in Laplace domain, differentiating from tranditive numerical inverse method. Simulational results of model 2 are used to compare with the results of Chen＂. Using the field data that provided by field divergent flow tracer test in Oracle, Arizona, it involves a curve matching procedure, to compare with the results of model 1 and model 2. Results show that application of model 1 on Oracle field data the value of longitudinal dispersivity is 0.66m, effective porosity is 0.066, equivalant aperture is 0.0106m, and Peclet number is 7.85. In addition, the application of model 2 gives the value of peclet number 6.75.

並列關鍵字

Fractured rock ； Solute transport ； Divergent flow test ； Dispersivity