کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4526522 1323843 2008 16 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Analytical solutions for sequentially coupled one-dimensional reactive transport problems – Part I: Mathematical derivations
موضوعات مرتبط
مهندسی و علوم پایه علوم زمین و سیارات فرآیندهای سطح زمین
پیش نمایش صفحه اول مقاله
Analytical solutions for sequentially coupled one-dimensional reactive transport problems – Part I: Mathematical derivations
چکیده انگلیسی

Multi-species reactive transport equations coupled through sorption and sequential first-order reactions are commonly used to model sites contaminated with radioactive wastes, chlorinated solvents and nitrogenous species. Although researchers have been attempting to solve various forms of these reactive transport equations for over 50 years, a general closed-form analytical solution to this problem is not available in the published literature. In Part I of this two-part article, we derive a closed-form analytical solution to this problem for spatially-varying initial conditions. The proposed solution procedure employs a combination of Laplace and linear transform methods to uncouple and solve the system of partial differential equations. Two distinct solutions are derived for Dirichlet and Cauchy boundary conditions each with Bateman-type source terms. We organize and present the final solutions in a common format that represents the solutions to both boundary conditions. In addition, we provide the mathematical concepts for deriving the solution within a generic framework that can be used for solving similar transport problems.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Advances in Water Resources - Volume 31, Issue 2, February 2008, Pages 203–218
نویسندگان
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