کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4525500 1625639 2014 13 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Analytical solutions for benchmarking cold regions subsurface water flow and energy transport models: One-dimensional soil thaw with conduction and advection
ترجمه فارسی عنوان
راه حل های تحلیلی برای تعیین محدوده های سرد مناطق جریان آب زیرزمینی و حمل و نقل انرژی: خاک یک بعدی خاک با هدایت و پیشگیری
کلمات کلیدی
راه حل های تحلیلی، تورم جلو تغییر فاز، مدل های ترمو هیدرولیک، مشکل استیفن، انجماد و انجماد
موضوعات مرتبط
مهندسی و علوم پایه علوم زمین و سیارات فرآیندهای سطح زمین
چکیده انگلیسی


• There has been little comparison of cold regions flow and heat transport models.
• Analytical solutions make excellent benchmarks for inter-code comparison.
• We present a solution that includes conduction, advection and phase change.
• We test its accuracy via comparisons to the Neumann solution and a numerical model.
• We report detailed simulation results to facilitate future benchmarking endeavors.

Numerous cold regions water flow and energy transport models have emerged in recent years. Dissimilarities often exist in their mathematical formulations and/or numerical solution techniques, but few analytical solutions exist for benchmarking flow and energy transport models that include pore water phase change. This paper presents a detailed derivation of the Lunardini solution, an approximate analytical solution for predicting soil thawing subject to conduction, advection, and phase change. Fifteen thawing scenarios are examined by considering differences in porosity, surface temperature, Darcy velocity, and initial temperature. The accuracy of the Lunardini solution is shown to be proportional to the Stefan number. The analytical solution results obtained for soil thawing scenarios with water flow and advection are compared to those obtained from the finite element model SUTRA. Three problems, two involving the Lunardini solution and one involving the classic Neumann solution, are recommended as standard benchmarks for future model development and testing.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Advances in Water Resources - Volume 70, August 2014, Pages 172–184
نویسندگان
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