Probability density functions for advective–reactive transport in radial flow

Probability density functions for advective–reactive transport in radial flow
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径向流中平流反应输运的概率密度函数

DOI:
10.1007/s00477-010-0401-4
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发表时间:
2010
影响因子:
4.2
通讯作者:
D. Tartakovsky
D. Tartakovsky
中科院分区:
环境科学与生态学3区
文献类型:
--
作者:
S. Broyda;M. Dentz;D. Tartakovsky

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我们研究化学性质不确定的化学非均质多孔介质中反应性溶质的传输。在从点源提取/注入引起的平流的存在下,溶解的物质与固相发生非均相化学反应。我们提出了溶质浓度的概率密度函数的半解析解,这使我们能够量化与线性和非线性反应的不确定反应速率常数相关的预测不确定性。这使得人们能够计算定量风险分析所需的罕见事件的概率。
We study transport of a reactive solute in a chemically heterogeneous porous medium whose chemical properties are uncertain. The dissolved substance undergoes a heterogeneous chemical reaction with a solid phase in the presence of advection caused by extraction/injection from a point source. We present semi-analytical solutions for the probability density function of the solute concentration, which allows us to quantify predictive uncertainty associated with uncertain reaction rate constants for both linear and nonlinear reactions. This enables one to compute probabilities of rare events, which are required for quantitative risk analyses.