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Productivity Formulae of an Infinite-Conductivity Hydraulically Fractured Well Producing at Constant Wellbore Pressure Based on Numerical Solutions of a Weakly Singular Integral Equation of the First Kind
المؤلفون المشاركون
He, Xiaoming
Hu, Chaolang
Lu, Jing
المصدر
Mathematical Problems in Engineering
العدد
المجلد 2012، العدد 2012 (31 ديسمبر/كانون الأول 2012)، ص ص. 1-18، 18ص.
الناشر
Hindawi Publishing Corporation
تاريخ النشر
2012-06-04
دولة النشر
مصر
عدد الصفحات
18
التخصصات الرئيسية
الملخص EN
In order to increase productivity, it is important to study the performance of a hydraulically fractured well producing at constant wellbore pressure.
This paper constructs a new productivity formula, which is obtained by solving a weakly singular integral equation of the first kind, for an infinite-conductivity hydraulically fractured well producing at constant pressure.
And the two key components of this paper are a weakly singular integral equation of the first kind and a steady-state productivity formula.
A new midrectangle algorithm and a Galerkin method are presented in order to solve the weakly singular integral equation.
The numerical results of these two methods are in accordance with each other.
And then the solutions of the weakly singular integral equation are utilized for the productivity formula of hydraulic fractured wells producing at constant pressure, which provide fast analytical tools to evaluate production performance of infinite-conductivity fractured wells.
The paper also shows equipotential threads, which are generated from the numerical results, with different fluid potential values.
These threads can be approximately taken as a family of ellipses whose focuses are the two endpoints of the fracture, which is in accordance with the regular assumption in Kuchuk and Brigham, 1979.
نمط استشهاد جمعية علماء النفس الأمريكية (APA)
Hu, Chaolang& Lu, Jing& He, Xiaoming. 2012. Productivity Formulae of an Infinite-Conductivity Hydraulically Fractured Well Producing at Constant Wellbore Pressure Based on Numerical Solutions of a Weakly Singular Integral Equation of the First Kind. Mathematical Problems in Engineering،Vol. 2012, no. 2012, pp.1-18.
https://search.emarefa.net/detail/BIM-1001591
نمط استشهاد الجمعية الأمريكية للغات الحديثة (MLA)
Hu, Chaolang…[et al.]. Productivity Formulae of an Infinite-Conductivity Hydraulically Fractured Well Producing at Constant Wellbore Pressure Based on Numerical Solutions of a Weakly Singular Integral Equation of the First Kind. Mathematical Problems in Engineering No. 2012 (2012), pp.1-18.
https://search.emarefa.net/detail/BIM-1001591
نمط استشهاد الجمعية الطبية الأمريكية (AMA)
Hu, Chaolang& Lu, Jing& He, Xiaoming. Productivity Formulae of an Infinite-Conductivity Hydraulically Fractured Well Producing at Constant Wellbore Pressure Based on Numerical Solutions of a Weakly Singular Integral Equation of the First Kind. Mathematical Problems in Engineering. 2012. Vol. 2012, no. 2012, pp.1-18.
https://search.emarefa.net/detail/BIM-1001591
نوع البيانات
مقالات
لغة النص
الإنجليزية
الملاحظات
Includes bibliographical references
رقم السجل
BIM-1001591
قاعدة معامل التأثير والاستشهادات المرجعية العربي "ارسيف Arcif"
أضخم قاعدة بيانات عربية للاستشهادات المرجعية للمجلات العلمية المحكمة الصادرة في العالم العربي
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