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You searched for subject:(Darcy forchheimer equation). Showing records 1 – 2 of 2 total matches.

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Texas Tech University

1. Chang, Dahwei. Peaceman's numerical productivity index for non-linear flows in porous media.

Degree: Mathematics, 2009, Texas Tech University

From Darcy’s law to Darcy-Forchheimer equation, there have being a lot efforts finding solutions for flows in porous media. Peaceman used a system of well blocks to replace the well bore in finding numerical solutions for linear flows. Our work uses a single well block to find the pressure distribution throughout the well for non-linear flows. In the process we found a block invariant which can be used to build the pressure distribution formula. From it, we can find the productivity index, one of the important factors in petroleum engineering. Theoretical derivation and numerical data are also presented in this report. Advisors/Committee Members: Aulisa, Eugenio (Committee Chair), Toda, Magdalena D. (committee member), Howle, Victoria E. (committee member).

Subjects/Keywords: Peaceman; Porous media; Darcy's law; Darcy-forchheimer equation; Flow

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APA (6th Edition):

Chang, D. (2009). Peaceman's numerical productivity index for non-linear flows in porous media. (Thesis). Texas Tech University. Retrieved from http://hdl.handle.net/2346/14592

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16th Edition):

Chang, Dahwei. “Peaceman's numerical productivity index for non-linear flows in porous media.” 2009. Thesis, Texas Tech University. Accessed August 05, 2020. http://hdl.handle.net/2346/14592.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7th Edition):

Chang, Dahwei. “Peaceman's numerical productivity index for non-linear flows in porous media.” 2009. Web. 05 Aug 2020.

Vancouver:

Chang D. Peaceman's numerical productivity index for non-linear flows in porous media. [Internet] [Thesis]. Texas Tech University; 2009. [cited 2020 Aug 05]. Available from: http://hdl.handle.net/2346/14592.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Chang D. Peaceman's numerical productivity index for non-linear flows in porous media. [Thesis]. Texas Tech University; 2009. Available from: http://hdl.handle.net/2346/14592

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

2. Bloshanskaya, Lidia. Mathematical model of well productivity index for Forchheimer flows in fractured reservoirs.

Degree: PhD, Mathematics, 2013, Texas Tech University

Porous media (rocks, soils, aquifers, oil and gas reservoirs) plays an essential role in our modern environment. The pores of such material are usually filled with fluid, liquid or gas, and the flow of the fluids through the media is a subject of common interest of many different fields of study. In the middle of 19th century, Henry Darcy experimented on water filtration through sand and he eventually formulated the famous Darcy's law which relates the pressure gradient to the velocity of the fluid linearly. This empirical law laid the foundations for the quantitative theory of fluid dynamics. However, linear law has limited range of validity. In 20th century, Forchheimer proposed his equations to account for the nonlinearity of the flow. In this thesis we generalize the Forchheimer equations and examine the properties of the corresponding parabolic partial differential equations. The developed framework is used to study the well productivity index (PI) as a functional defined on the solutions of differential equations modeling non-linear flows. Petroleum engineers use the PI to characterize the well performance to manage the well reserves. We study the long term dynamics of the PI and its dependence on the nonlinearity and geometric parameters. The obtained results can be effectively used in reservoir engineering and can be applied to other problems modeled by the nonlinear diffusive equations. Advisors/Committee Members: Aulisa, Eugenio (committee member), Hoang, Luan (committee member), Ibragimov, Akif (Committee Chair).

Subjects/Keywords: Porous media; Fractures; Nonlinear flow; Non-darcy; Forchheimer equation

…computation of PSS PI. In §5.1 we generalize the famous Peaceman approach to g-Forchheimer equation… …hydrodynamical point of view, the Darcy equation is interpreted as the momentum equation. The Darcy… …two-term, power, and three-term) are widely used. Darcy and Forchheimer laws can be… …equation: dp = −κ∇ · u . dt 2.2 (2.11) Generalized Forchheimer equations In order… …form of the g-Forchheimer momentum equation (2.6): 8 Texas Tech University… 

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6th Edition):

Bloshanskaya, L. (2013). Mathematical model of well productivity index for Forchheimer flows in fractured reservoirs. (Doctoral Dissertation). Texas Tech University. Retrieved from http://hdl.handle.net/2346/58420

Chicago Manual of Style (16th Edition):

Bloshanskaya, Lidia. “Mathematical model of well productivity index for Forchheimer flows in fractured reservoirs.” 2013. Doctoral Dissertation, Texas Tech University. Accessed August 05, 2020. http://hdl.handle.net/2346/58420.

MLA Handbook (7th Edition):

Bloshanskaya, Lidia. “Mathematical model of well productivity index for Forchheimer flows in fractured reservoirs.” 2013. Web. 05 Aug 2020.

Vancouver:

Bloshanskaya L. Mathematical model of well productivity index for Forchheimer flows in fractured reservoirs. [Internet] [Doctoral dissertation]. Texas Tech University; 2013. [cited 2020 Aug 05]. Available from: http://hdl.handle.net/2346/58420.

Council of Science Editors:

Bloshanskaya L. Mathematical model of well productivity index for Forchheimer flows in fractured reservoirs. [Doctoral Dissertation]. Texas Tech University; 2013. Available from: http://hdl.handle.net/2346/58420

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