ライブラリ登録: Guest
Begell Digital Portal Begellデジタルライブラリー 電子書籍 ジャーナル 参考文献と会報 リサーチ集
Journal of Porous Media
インパクトファクター: 1.752 5年インパクトファクター: 1.487 SJR: 0.43 SNIP: 0.762 CiteScore™: 2.3

ISSN 印刷: 1091-028X
ISSN オンライン: 1934-0508

巻:
巻 23, 2020 巻 22, 2019 巻 21, 2018 巻 20, 2017 巻 19, 2016 巻 18, 2015 巻 17, 2014 巻 16, 2013 巻 15, 2012 巻 14, 2011 巻 13, 2010 巻 12, 2009 巻 11, 2008 巻 10, 2007 巻 9, 2006 巻 8, 2005 巻 7, 2004 巻 6, 2003 巻 5, 2002 巻 4, 2001 巻 3, 2000 巻 2, 1999 巻 1, 1998

Journal of Porous Media

DOI: 10.1615/JPorMedia.v21.i2.40
pages 161-196

ANOMALOUS EFFECTS DURING THERMAL DISPLACEMENT IN POROUS MEDIA UNDER NON-LOCAL THERMAL EQUILIBRIUM

Abiola D. Obembe
Department of Petroleum Engineering, King Fahd University of Petroleum & Minerals, Dhahran 31261, Saudi Arabia
Sidqi A. Abu-Khamsin
Department of Petroleum Engineering, King Fahd University of Petroleum and Minerals, Dhahran 31261, Kingdom of Saudi Arabia
M. Enamul Hossain
Department of Petroleum Engineering, King Fahd University of Petroleum & Minerals, Dhahran 31261, Saudi Arabia; Memorial University of Newfoundland, St. John's, Newfoundland and Labrador, Canada; Department of Petroleum and Energy Engineering, The American University in Cairo, Cairo, Egypt

要約

Robust and accurate mathematical models describing fluid and heat transport in naturally occurring geological media can be challenging to formulate due to the spatial heterogeneities occurring at many different scales. Thus, a majority of the widely presented continuum-based mathematical models may not be completely adequate for predicting fluid or/and heat transport in such systems. In this work, two nonlocal temporal constitutive flux relationships are employed to present a novel mathematical model describing the fluid flow and heat transport through a porous medium. Subsequently, existing numerical schemes and well-established numerical discretization methods are applied to solve the resulting set of fractional equations. Parameter sensitivity analysis is presented to illustrate the effect of introduced phenomenological parameters on the fluid and heat transport behavior in the porous medium. Results show that the order(s) of fractional derivative plays a significant role in the pressure and rock temperature evolution with a minimal effect observed in the fluid temperature evolution. Furthermore, the magnitude of the heat transfer coefficient between the fluid and rock phase determines how fast the rock temperature approaches the fluid temperature. The presented mathematical model would find widespread applications in geothermal reservoirs and analyzing temperature profiles in fractured reservoir rocks.


Articles with similar content:

VARIABLE-ORDER ANOMALOUS HEAT TRANSPORT MATHEMATICAL MODELS IN DISORDERED AND HETEROGENEOUS POROUS MEDIA
Second Thermal and Fluids Engineering Conference, Vol.32, 2017, issue
Sidqi A. Abu-Khamsin, M. Enamul Hossain, Obembe Abiola David
NONLINEAR SEEPAGE MODEL FOR MULTIPLE FRACTURED HORIZONTAL WELLS WITH THE EFFECT OF THE QUADRATIC GRADIENT TERM
Journal of Porous Media, Vol.21, 2018, issue 3
Ping Guo, Junjie Ren
STOCHASTIC MODELING OF MAGNETIC HYSTERETIC PROPERTIES BY USING MULTIVARIATE RANDOM FIELDS
International Journal for Uncertainty Quantification, Vol.9, 2019, issue 1
Sebastian Schöps, Radoslav Jankoski, Ulrich Römer
A CRITICAL REVIEW OF ENGINEERING APPROACH IN THE CONTEXT OF MEMORY CONCEPT FOR FLUID FLOW THROUGH POROUS MEDIA
Journal of Porous Media, Vol.23, 2020, issue 6
Syed Imtiaz, Fatema Akter Happy, Arifur Rahman, M. Enamul Hossain
PORE SCALE SIMULATION FOR THERMO-HYDRO-MECHANICAL PROCESSES IN GEOPHYSICAL SYSTEM
International Heat Transfer Conference 16, Vol.21, 2018, issue
Zhiqiang Chen, Moran Wang