مقاله Approximation of Nonlinear Terms in the PressureدرBased Solution of Multiphase Flow Equations in Porous Media با word
مقاله Approximation of Nonlinear Terms in the PressureدرBased Solution of Multiphase Flow Equations in Porous Media با word دارای 7 صفحه می باشد و دارای تنظیمات در microsoft word می باشد و آماده پرینت یا چاپ است
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سال انتشار: 1392
محل انتشار: هفتمین کنگره ملی مهندسی عمران
تعداد صفحات: 7
چکیده:
Simultaneous flow of two or three immiscible fluids in porous media is modeled by a system of coupled and highly nonlinear partial differential equations. These equations are reduced to a system of algebraic equations by the use of numerical methods. Selecting the proper primary variables is a critical step in efficiently solving of multiphase subsurface flow problems. One of the common selections is to select the phase pressures as the primary variables (pressure-based solution). This type of solution consists of strong nonlinear terms and thus encounters some difficulties, such as ill conditioning of the system of algebraic equations under dry flow condition. Here, we present a systematic study to deal with these difficulties in the solution of algebraic systems. It is believed that the solution techniques presented here may also prove useful for other strongly nonlinear partial differential equations
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