05 اردیبهشت 1403
علي رنجبر

علی رنجبر

مرتبه علمی: استادیار
نشانی: دانشکده مهندسی نفت، گاز و پتروشیمی - گروه مهندسی نفت
تحصیلات: دکترای تخصصی / مهندسی نفت
تلفن: 077
دانشکده: دانشکده مهندسی نفت، گاز و پتروشیمی

مشخصات پژوهش

عنوان
Solving Mendel's problem using the standard Galerkin Finite element method
نوع پژوهش مقالات در همایش ها
کلیدواژه‌ها
Numerical modeling, finite element method, Mendel's problem, Standard Galerkin
پژوهشگران کمند قاسمی (نفر اول) ، علی رنجبر (نفر دوم) ، پریرخ ابراهیمی (نفر سوم)

چکیده

In 1953, Mendel presented one of the first solutions for Biot's consolidation theory. The solution presented by him is one of the most important issues for the validation of numerical codes combined with geomechanics and single-phase fluid flow. Considering the problem's coexistence and based on Biot's pore elasticity theory, its solution includes solving mass conservation and momentum balance equations for fluid phase and solid phase, which in transient stat are checked depending on time. The primary unknowns in these equations include fluid pore pressure and solid phase deformation. In this study, Mendel's problem is investigated for a fully saturated elastic porous medium. The method used in this study is the standard finite element Galerkin method. The proposed model provides a good agreement with the analytical solution, which indicates the accuracy of the model designed in this research. Among the innovations of this research, we can mention the examination and comparison of different aspects of solving Mendel's problem both from the physical point and the numerical solution.