کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
755815 896067 2014 11 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Drawdown in prolate spheroidal–spherical coordinates obtained via Green’s function and perturbation methods
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مهندسی مکانیک
پیش نمایش صفحه اول مقاله
Drawdown in prolate spheroidal–spherical coordinates obtained via Green’s function and perturbation methods
چکیده انگلیسی


• We presented the groundwater flow equation in prolate coordinate.
• We solved the new equation via Green’s function and perturbation methods.
• We compared the new solution with observed data from real word.
• We presented the error analysis.

When investigating aquifer behaviour it is important to note that there exists a close relationship between the geometrical properties of the aquifer and the behaviour of the solution. In this paper our concern is to solve the flow equation described by prolate spheroidal coordinates by means of perturbation and the Green’s function method, where the spheroid is considered to be a perturbation of a sphere. We transformed the spheroidal coordinates to spherical polar coordinates in the limit, as the shape factor tends to zero. The new groundwater flow equation is solved via an asymptotic parameter expansion and the Green’s function method. The approximate solution of the new equation is compared with experimental data from real world. To take into account the error committed while approximating, we estimate the error in the asymptotic expansion. The error functions obtained suggest that the error would be very small for the shape factor tending to zero if the first two terms of the expansion are taken as an approximation.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Communications in Nonlinear Science and Numerical Simulation - Volume 19, Issue 5, May 2014, Pages 1259–1269
نویسندگان
,