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Register a new userMathematical study and numerical modeling of the single phase fluid flow in the one-dimensional porous media
دراسة رياضية و نمذجة رقمية لجريان سائل وحيد الطور في وسط مسامي أحادي البعد
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تعتبر عمgيات استثمار المكامن النفطية من أهم مراحل الصناعة النفطية. فالجدوى الاقتصادية لمكمن المستثمر ترتبط بالتخطيط الصحيح و الفهم الدقيق لخصائص المكمن بمكوناته الصخرية و السوائل التي ترتشح ضمن وسطه المسامي. إن التعقيد الذي تتميز به الأوساط المسامية الصخرية الحاملة للمواد الهيدروكربونية، ذات التحولات الطورية المقرونة بظواهر حرارية و فيزيوكيميائية، تجعل من الطرق الكلاسيكية المعتمدة لدراسة المكمن و التخطيط لاستثماره غير دقيقة و غير كافية للتنبؤ بسلوك و أداء المكمن. بدأ الاعتماد حديثاً على طريقة المحاكاة و النمذجة الرياضية التي تمكننا من التقليل من المخاطر في اتخاذ القرار المتعلق بطريقة الاستثمار الامثل، لتحقيق أفضل جدوى إقتصادية ممكنة. و ذلك من خلال ما توفره هذه الطريقة من قدرة تنبؤية تساعد على فهم أفضل لسلوك و أداء المكمن بشرط توفر المعطيات اللازمة لحل النموذج الرياضي المعاير، بطريقة تحليلية أو رقمية . نورد في هذا البحث، صياغة نموذج رياضي لمكمن متجانس أحادي البعد يرتشح ضمنه سائل وحيد الطور، و طريقة الحل الرقمي لهذا النموذج الرياضي، و تطبيق النموذج المصاغ لمحاكاة مكمن ببئر حقن و أخرى للإنتاج و آلية توزع الضغط في الطبقة المنتجة بين البئرين .
The oil reservoirs exploitation processes are one of very important steps of petroleum industry. The rentability of investor reservoir is related to correct planning and accurate understanding of rock properties and liquids flow in porous media. The complexity of porous media contains hydrocarbon materials, with phases changes related to thermo-physiochemical phenomena, make the classical methods used to study the reservoir recovery are inaccurate and insufficient to predict the performance and behavior of reservoir. Recently, simulation and modeling are used to decrease the risks in the decision of the optimal recovery method, and achieve the best possible rentability. This method provides predictive capacity help us to better understanding of reservoir. By the suitable input data, we can solve the calibrated mathematical model analytically or numerically. We present in this research the formulation of mathematical model of isotropic-one dimension reservoir with single phase fluid flow. The numerical solution, the application of this model, and the mechanism of pressure diffusivity along productive formation, will be presented to simulate a reservoir with injection and production wells.
References used
ODEH A.S, 1982 - An overview of mathematical modeling of the behavior of hydrocarbon reservoirs. Society of industrial applied mathematics review 24, No.3, 263
MUSKAT M, 1982 - The flow of homogeneous fluids through porous media. International Human resources development Corporation, Boston, 470
BEAR J, 1988 - Dynamics of fluids in porous media. Dover Publication Inc, New York city, 196
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