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Simplified contaminant source depletion models as analogs of multiphase simulators

机译:简化的污染物源消耗模型,作为多相模拟器的类似物

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Four simplified dense non-aqueous phase liquid (DNAPL) source depletion models recently introduced in the literature are evaluated for the prediction of long-term effects of source depletion under natural gradient flow. These models are simple in form (a power function equation is an example) but are shown here to serve as mathematical analogs to complex multiphase flow and transport simulators. The spill and subsequent dissolution of DNAPLs was simulated in domains having different hydrologic characteristics (variance of the log conductivity field=0.2,1 and 3) using the multiphase flow and transport simulator UTCHEM. The dissolution profiles were fitted using four analytical models: the equilibrium streamtube model (ESM), the advection dispersion model (ADM), the power law model (PLM) and the Damkohler number model (DaM). All four models, though very different in their conceptualization, include two basic parameters that describe the mean DNAPL mass and the joint variability in the velocity and DNAPL distributions. The variability parameter was observed to be strongly correlated with the variance of the log conductivity field in the ESM and ADM but weakly correlated in the PLM and DaM. The DaM also includes a third parameter that describes the effect of rate-limited dissolution, but here this parameter was held constant as the numerical simulations were found to be insensitive to local-scale mass transfer. All four models were able to emulate the characteristics of the dissolution profiles generated from the complex numerical simulator, but the one-parameter PLM fits were the poorest, especially for the low heterogeneity case.
机译:最近对文献中介绍的四个简化的致密非水相液体(DNAPL)源耗竭模型进行了评估,以预测自然梯度流下源耗竭的长期影响。这些模型形式简单(以幂函数方程为例),但此处显示它们可作为复杂多相流和运输模拟器的数学模拟。使用多相流和运输模拟器UTCHEM在具有不同水文特征(对数电导率场的差异= 0.2、1和3)的域中模拟了DNAPLs的溢出和随后的溶解。使用四种分析模型拟合溶出曲线:平衡流管模型(ESM),对流扩散模型(ADM),幂律模型(PLM)和达姆科勒数模型(DaM)。这四个模型虽然在概念上有很大不同,但都包含两个基本参数,它们描述了平均DNAPL质量以及速度和DNAPL分布的联合可变性。在ESM和ADM中,观测到的变异性参数与对数电导率场的变化密切相关,而在PLM和DaM中,变化性参数却弱相关。 DaM还包括描述速率限制溶出度影响的第三个参数,但此参数保持不变,因为发现数值模拟对局部规模的传质不敏感。所有这四个模型都能够模拟由复杂数值模拟器生成的溶出曲线的特征,但单参数PLM拟合最差,尤其是对于低异质性情况。

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