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Advanced Mathematical Methods: Theory and Applications

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ISBN: 9783039282463 9783039282470 Year: Pages: 198 DOI: 10.3390/books978-3-03928-247-0 Language: English
Publisher: MDPI - Multidisciplinary Digital Publishing Institute
Subject: Physics (General) --- Science (General)
Added to DOAB on : 2020-04-07 23:07:08
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Abstract

The many technical and computational problems that appear to be constantly emerging in various branches of physics and engineering beg for a more detailed understanding of the fundamental mathematics that serves as the cornerstone of our way of understanding natural phenomena. The purpose of this Special Issue was to establish a brief collection of carefully selected articles authored by promising young scientists and the world's leading experts in pure and applied mathematics, highlighting the state-of-the-art of the various research lines focusing on the study of analytical and numerical mathematical methods for pure and applied sciences.

Keywords

ultraparabolic equation --- ultradiffusion process --- probabilistic representation --- mathematical finance --- linear elastostatics --- layer potentials --- fredholmian operators --- fractional differential equations --- fractional derivative --- Abel-type integral --- time delay --- distributed lag --- gamma distribution --- macroeconomics --- Keynesian model --- integral transforms --- Laplace integral transform --- transmutation operator --- generating operator --- integral equations --- differential equations --- operational calculus of Mikusinski type --- Mellin integral transform --- fractional derivative --- fractional integral --- Mittag–Leffler function --- Riemann–Liouville derivative --- Caputo derivative --- Grünwald–Letnikov derivative --- space-time fractional diffusion equation --- fractional Laplacian --- subordination principle --- Mittag-Leffler function --- Bessel function --- exterior calculus --- exterior algebra --- electromagnetism --- Maxwell equations --- differential forms --- tensor calculus --- Fourier Theory --- DFT in polar coordinates --- polar coordinates --- multidimensional DFT --- discrete Hankel Transform --- discrete Fourier Transform --- Orthogonality --- multispecies biofilm --- biosorption --- free boundary value problem --- heavy metals toxicity --- method of characteristics --- relativistic diffusion equation --- Caputo fractional derivatives of a function with respect to another function --- Bessel-Riesz motion --- Mittag–Leffler function --- matrix function --- Schur decomposition --- Laplace transform --- fractional calculus --- central limit theorem --- anomalous diffusion --- stable distribution --- fractional calculus --- power law --- n/a

Flow and Transport Properties of Unconventional Reservoirs 2018

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ISBN: 9783039211166 9783039211173 Year: Pages: 364 DOI: 10.3390/books978-3-03921-117-3 Language: English
Publisher: MDPI - Multidisciplinary Digital Publishing Institute
Subject: Technology (General) --- General and Civil Engineering
Added to DOAB on : 2019-08-28 11:21:27
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Unconventional reservoirs are usually complex and highly heterogeneous, such as shale, coal, and tight sandstone reservoirs. The strong physical and chemical interactions between fluids and pore surfaces lead to the inapplicability of conventional approaches for characterizing fluid flow in these low-porosity and ultralow-permeability reservoir systems. Therefore, new theories and techniques are urgently needed to characterize petrophysical properties, fluid transport, and their relationships at multiple scales for improving production efficiency from unconventional reservoirs. This book presents fundamental innovations gathered from 21 recent works on novel applications of new techniques and theories in unconventional reservoirs, covering the fields of petrophysical characterization, hydraulic fracturing, fluid transport physics, enhanced oil recovery, and geothermal energy. Clearly, the research covered in this book is helpful to understand and master the latest techniques and theories for unconventional reservoirs, which have important practical significance for the economic and effective development of unconventional oil and gas resources.

Keywords

fracturing fluid --- rheology --- chelating agent --- viscosity --- polymer --- fluid-solid interaction --- velocity profile --- the average flow velocity --- flow resistance --- pore network model --- shale gas --- volume fracturing --- finite volume method --- production simulation --- multi-scale flow --- multi-scale fracture --- shale gas reservoir --- fractured well transient productivity --- succession pseudo-steady state (SPSS) method --- complex fracture network --- multi-scale flow --- analysis of influencing factors --- tight sandstones --- spontaneous imbibition --- remaining oil distributions --- imbibition front --- imbibition recovery --- NMR --- slip length --- large density ratio --- contact angle --- pseudo-potential model --- lattice Boltzmann method --- micro-fracture --- dissolved gas --- experimental evaluation --- reservoir depletion --- recovery factor --- tight oil --- Lucaogou Formation --- tight oil --- pore structure --- prediction by NMR logs --- tight oil reservoir --- SRV-fractured horizontal well --- multiporosity and multiscale --- flow regimes --- productivity contribution degree of multimedium --- equilibrium permeability --- non-equilibrium permeability --- matrix–fracture interaction --- effective stress --- coal deformation --- porous media --- non-linear flow --- conformable derivative --- fractal --- hydraulic fracturing --- tight reservoirs --- fracture diversion --- extended finite element method --- fracture network --- gas adsorption capacity --- shale reservoirs --- influential factors --- integrated methods --- sulfonate gemini surfactant --- thickener --- temperature-resistance --- clean fracturing fluid --- low-salinity water flooding --- clay mineral composition --- enhanced oil recovery --- wetting angle --- pH of formation water --- fractional diffusion --- fractal geometry --- analytical model --- shale gas reservoir --- carbonate reservoir --- petrophysical characterization --- pore types --- pore structure --- permeability --- fractal dimension --- reservoir classifications --- deep circulation groundwater --- groundwater flow --- geothermal water --- faults --- isotopes --- shale permeability --- local effect --- global effect --- matrix-fracture interactions --- nanopore --- pore structure --- shale --- tight sandstone --- mudstone --- nitrogen adsorption --- fractal --- enhanced geothermal system --- well-placement optimization --- fracture continuum method --- 0-1 programming --- unconventional reservoirs --- petrophysical characterization --- fluid transport physics

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english (2)


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2020 (1)

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