SINGULAR PERTURBATION SOLUTION OF THE PROBLEM VISCOUS FINGERING PHENOMENON IN MULTIFLUID IMMISCIBLE FLOW
In this paper the phenomenon namely fingering which occurs in the flow problems of oil reservoir engineering has been discussed. The effects arises due to the fingering have been studied by using the Darcy’s law together with different kinds of suitable assumptions and conditions. The problem is then modeled into mathematical form which yields second order partial differential equation. The equation is then solved by using singular perturbation technique together with initial and boundary conditions. The solution is then interpreted in terms of fluid flow terms.
Scheidegger A.E. Canadian Journal of Physics, 39, 2, 1961, 125. DOI: https://doi.org/10.1139/p61-031
Zhangxin Chen, Reservoir Simulation Mathematical techniques in Oil Recovery, SIAM, 2007, 37- 59. DOI: https://doi.org/10.1137/1.9780898717075
Wooding R.A. A.M. Physics, 18, 1962, 255. DOI: https://doi.org/10.1007/BF02148216
Verma A.P. Canadian Journal of Physics, 47, 1969, 2519. DOI: https://doi.org/10.1139/p69-309
Patel S. S. An approximate solution of displacement processes in fluid flow through porous media, Ph.D. Thesis, 1998, 138.
Scheidegger A.E. and Johnson E.F. Canadian journal of physics, 39, 1960, 329.
LeVeque R.J., Finite Difference Methods for Ordinary and Partial Differential Equations, SIAM, 2007, 181-200. DOI: https://doi.org/10.1137/1.9780898717839
Dake L.P., Fundamentals of reservoir Engineering, Elsevier, 1998, 407-413.
Hyden P.E., Similarity Methods for Differential Equations, Cambridge University Press, 2000, 136-149.
Nayfeh A.H. Perturbation Methods, Wiley, New York, 1973, 122-125.
Copyright (c) 2018 Shailesh Patel
This work is licensed under a Creative Commons Attribution 4.0 International License.
License and Copyright Agreement
In submitting the manuscript to the journal, the authors certify that:
- They are authorized by their co-authors to enter into these arrangements.
- The work described has not been formally published before, except in the form of an abstract or as part of a published lecture, review, thesis, or overlay journal.
- That it is not under consideration for publication elsewhere.
- That its release has been approved by all the author(s) and by the responsible authorities – tacitly or explicitly – of the institutes where the work has been carried out.
- They secure the right to reproduce any material that has already been published or copyrighted elsewhere.
- They agree to the following license and copyright agreement.
Authors who publish with International Journal of Engineering Technologies and Management Research agree to the following terms:
- Authors retain copyright and grant the journal right of first publication with the work simultaneously licensed under a Creative Commons Attribution License (CC BY-SA 4.0) that allows others to share the work with an acknowledgment of the work's authorship and initial publication in this journal.
- Authors can enter into separate, additional contractual arrangements for the non-exclusive distribution of the journal's published version of the work (e.g., post it to an institutional repository or edit it in a book), with an acknowledgment of its initial publication in this journal.
- Authors are permitted and encouraged to post their work online (e.g., in institutional repositories or on their website) before and during the submission process, as it can lead to productive exchanges, as well as earlier and greater citation of published work.
For More info, please visit CopyRight Section