Memory Effects on Nonlinear Temperature and Pressure Wave Propagation in the Boundary between Two Fluid-Saturated Porous Rocks
Joint Authors
Garra, R.
Salusti, E.
Droghei, R.
Source
Advances in Mathematical Physics
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-6, 6 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-11-05
Country of Publication
Egypt
No. of Pages
6
Main Subjects
Abstract EN
The evolution of strong transients of temperature and pressure in two adjacent fluid-saturated porous rocks is described by a Burgers equation in an early model of Natale and Salusti (1996).
We here consider the effect of a realistic intermediate region between the two media and infer how transient processes can also happen, such as chemical reactions, diffusion of fine particles, and filter cake formations.
This suggests enlarging our analysis and taking into account not only punctual quantities but also “time averaged” quantities.
These boundary effects are here analyzed by using a “memory formalism”; that is, we replace the ordinary punctual time-derivatives with Caputo fractional time-derivatives.
We therefore obtain a nonlinear fractional model, whose explicit solution is shown, and finally discuss its geological importance.
American Psychological Association (APA)
Garra, R. & Salusti, E.& Droghei, R.. 2015. Memory Effects on Nonlinear Temperature and Pressure Wave Propagation in the Boundary between Two Fluid-Saturated Porous Rocks. Advances in Mathematical Physics،Vol. 2015, no. 2015, pp.1-6.
https://search.emarefa.net/detail/BIM-1052989
Modern Language Association (MLA)
Garra, R.…[et al.]. Memory Effects on Nonlinear Temperature and Pressure Wave Propagation in the Boundary between Two Fluid-Saturated Porous Rocks. Advances in Mathematical Physics No. 2015 (2015), pp.1-6.
https://search.emarefa.net/detail/BIM-1052989
American Medical Association (AMA)
Garra, R. & Salusti, E.& Droghei, R.. Memory Effects on Nonlinear Temperature and Pressure Wave Propagation in the Boundary between Two Fluid-Saturated Porous Rocks. Advances in Mathematical Physics. 2015. Vol. 2015, no. 2015, pp.1-6.
https://search.emarefa.net/detail/BIM-1052989
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1052989