Transient flow of slightly compressible fluids through double-porosity, double-permeability systems ? A state-of-the-art review

Abstract In the context of smart city development and rapid urbanization worldwide, urban water supply system (UWSS) has been of vital importance to this process. This paper presents a comprehensive review on the transient flow research for UWSS management. This review consists of two aspects as follows. The first aspect is about the development and progress of current transient theory, including transient flow models, unsteady friction and turbulence models, and numerical simulation methods. The other aspect is about the utilization and application of transient-based methods for effective UWSS diagnosis and management, including leakage, discrete and extended partial blockages, unknown branch, and other defects in water pipelines. A total of 228 publications have been reviewed and analyzed in this paper. In addition to the state-of-the-art progress and achievement of the research on transients, the advances and recommendations of future work in this field are also discussed for the development and management of next-generation smart UWSS in the paper.

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Bénard Problem for Slightly Compressible Fluids: Existence and Nonlinear Stability in 3D

International Journal of Differential Equations ◽

10.1155/2020/9610689 ◽

2020 ◽

Vol 2020 ◽

pp. 1-11

Author(s):

Arianna Passerini

Keyword(s):

Pressure Field ◽

Fluid Model ◽

Classical Model ◽

Compressible Fluids ◽

Heat Conducting ◽

Regular Solutions ◽

New Approach ◽

Slightly Compressible ◽

Bénard Problem ◽

Benard Problem

This paper shows the existence, uniqueness, and asymptotic behavior in time of regular solutions (a la Ladyzhenskaya) to the Bénard problem for a heat-conducting fluid model generalizing the classical Oberbeck–Boussinesq one. The novelty of this model, introduced by Corli and Passerini, 2019, and Passerini and Ruggeri, 2014, consists in allowing the density of the fluid to also depend on the pressure field, which, as shown by Passerini and Ruggeri, 2014, is a necessary request from a thermodynamic viewpoint when dealing with convective problems. This property adds to the problem a rather interesting mathematical challenge that is not encountered in the classical model, thus requiring a new approach for its resolution.

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A mixed finite element approximation for Darcy–Forchheimer flows of slightly compressible fluids

Applied Numerical Mathematics ◽

10.1016/j.apnum.2017.05.006 ◽

2017 ◽

Vol 120 ◽

pp. 141-164

Author(s):

Thinh Kieu

Keyword(s):

Finite Element ◽

Mixed Finite Element ◽

Finite Element Approximation ◽

Compressible Fluids ◽

Element Approximation ◽

Slightly Compressible

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Development of a Model for Analysing Radial Flow of Slightly Compressible Fluids

Advanced Materials Research ◽

10.4028/www.scientific.net/amr.62-64.629 ◽

2009 ◽

Vol 62-64 ◽

pp. 629-636

Author(s):

John A. Akpobi ◽

E.D. Akpobi

Keyword(s):

Differential Equation ◽

Finite Element Method ◽

Finite Element ◽

Finite Difference ◽

Radial Flow ◽

Compressible Fluids ◽

The Finite Element Method ◽

Time Approximation ◽

Slightly Compressible ◽

Fluid Properties

In this work, we develop a finite element-finite difference method to solve the differential equation governing the radial flow of slightly compressible fluids. The finite element method is used to carry out spatial approximations so as to study the variation of fluid properties at the various nodes to which effect we divided the entire radial domain of the fluid into a mesh of four radial 1-D quadratic elements which exposes nine nodes to intense study. Time approximation is done with the aid of the Crank-Nicolson finite difference scheme.

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Analyzing of Drill Stem Test (DST) Result for Dual Porosity Limestone Reservoir

Kurdistan Journal of Applied Research ◽

10.24017/science.2017.3.45 ◽

2017 ◽

Vol 2 (3) ◽

pp. 240-251

Author(s):

Zheno Kareem Ahmed ◽

Halkawt Ismail Ismail M-Amin

Keyword(s):

Transient Flow ◽

Double Porosity ◽

Oil Field ◽

Dual Porosity ◽

Depth Interval ◽

Reservoir Pressure ◽

Well Test ◽

Positive Skin ◽

Skin Factor ◽

Wellbore Storage

The aim of this paper is to discuss and evaluate the result of DST which was conducted in a limestone reservoir of an oil field at the depth interval 3764.29-3903.0 meter in well-1 to evaluate the dynamic characteristics of the reservoirs, for instance: skin effect, permeability, wellbore storage, reservoir boundary and average reservoir pressure. Reservoir Pressure profiles has been recorded for both Buildup and draw down intervals. Semi-log and log-log coordinates have been used to plot the pressure signature date of both buildup period and its derivative to improve diagnostic and Horner plot. In addition, a dual porosity reservoir and infinite acting characteristic was discovered as a result of the well test data interpretation. Wellbore storage, skin factor and transient flow effects have been detected in the DST analysis on the dual porosity behavior due to phase re distribution. Using final buildup sections, the flow parameters of dual porosity reservoir were determined as the flow between fissure and matrix was (7.558 x 10-6) while, the storability ratio between fissure and matrix was calculated as 0.3 and permeability is 102 MD for both matrix and the fissure together. However, negative value of skin factor mostly appears in double porosity limestone reservoirs, positive skin factor of the reservoir has been observed in this study. It can be considered that the positive skin factor can be resulted in either the formation was partially penetrated and /or wells were not cleaned up properly.

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