Enfield Carl G, Wood A Lynn, Espinoza Felipe P, Brooks Michael C, Annable Michael, Rao P S C
National Risk Management Research Laboratory, Office of Research and Development, U. S. Environmental Protection Agency, Cincinnati, OH 45268, USA.
J Contam Hydrol. 2005 Dec;81(1-4):125-47. doi: 10.1016/j.jconhyd.2005.08.003. Epub 2005 Oct 5.
Aquifer heterogeneity (structure) and NAPL distribution (architecture) are described based on tracer data. An inverse modelling approach that estimates the hydraulic structure and NAPL architecture based on a Lagrangian stochastic model where the hydraulic structure is described by one or more populations of lognormally distributed travel times and the NAPL architecture is selected from eight possible assumed distributions. Optimization of the model parameters for each tested realization is based on the minimization of the sum of the square residuals between the log of measured tracer data and model predictions for the same temporal observation. For a given NAPL architecture the error is reduced with each added population. Model selection was based on a fitness which penalized models for increasing complexity. The technique is demonstrated under a range of hydrologic and contaminant settings using data from three small field-scale tracer tests: the first implementation at an LNAPL site using a line-drive flow pattern, the second at a DNAPL site with an inverted five-spot flow pattern, and the third at the same DNAPL site using a vertical circulation flow pattern. The Lagrangian model was capable of accurately duplicating experimentally derived tracer breakthrough curves, with a correlation coefficient of 0.97 or better. Furthermore, the model estimate of the NAPL volume is similar to the estimates based on moment analysis of field data.
基于示踪剂数据描述了含水层非均质性(结构)和非水相液体分布(结构)。一种逆建模方法,基于拉格朗日随机模型估计水力结构和非水相液体结构,其中水力结构由一个或多个对数正态分布运移时间总体描述,非水相液体结构从八种可能的假定分布中选择。针对每个测试实现,模型参数的优化基于实测示踪剂数据的对数与相同时间观测的模型预测之间平方残差之和的最小化。对于给定的非水相液体结构,每增加一个总体误差就会减小。模型选择基于一种适应性,该适应性会对复杂度增加的模型进行惩罚。使用来自三个小型现场尺度示踪剂试验的数据,在一系列水文和污染物条件下展示了该技术:第一次在一个轻质非水相液体场地采用线驱动流型进行实施,第二次在一个重质非水相液体场地采用倒置五点流型进行实施,第三次在同一个重质非水相液体场地采用垂直循环流型进行实施。拉格朗日模型能够准确复制实验得出的示踪剂突破曲线,相关系数为0.97或更高。此外,非水相液体体积的模型估计与基于现场数据矩分析的估计相似。