Compressibility Coefficients in Nonlinear Transport Models in Unconventional Gas Reservoirs

Iftikhar Ali (), Bilal Chanane () and Nadeem A. Malik ()
Additional contact information
Iftikhar Ali: King Fahd University of Petroleum and Minerals, Department of Mathematics & Statistics
Bilal Chanane: King Fahd University of Petroleum and Minerals, Department of Mathematics & Statistics
Nadeem A. Malik: King Fahd University of Petroleum and Minerals, Department of Mathematics & Statistics

A chapter in Mathematical and Computational Approaches in Advancing Modern Science and Engineering, 2016, pp 3-13 from Springer

Abstract: Abstract Transport models for gas flow in unconventional hydrocarbon reservoirs possess several model parameters such as the density (ρ) Rock density , the permeability (K) Rock permeability , the Knudsen number (K n ), that are strongly dependent upon the pressure p. Each physical parameter, say γ, in the system has an associated compressibility factor ζ γ = ζ γ ( p) (which is the relative rate of change of the parameter with respect to changes in the pressure, Ali I et al. (2014, Time-fractional nonlinear gas transport equation in tight porous media: an application in unconventional gas reservoirs. In: 2014 international conference on fractional differentiation and its applications (ICFDA), Catania, pp 1–6, IEEE)). Previous models have often assumed that ζ γ = Const, such as Cui (Geofluids 9(3):208–223, 2009), and Civan (Transp Porous Media 86(3):925–944, 2011). Here, we investigate the effect of selected compressibility factors (real gas deviation factor (ζ Z ), gas density (ζ ρ ), gas viscosity (ζ μ ), permeability (ζ K ), and the porosity (ζ ϕ ) of the source rock) as functions of the pressure upon rock properties such as K and ϕ. We also carry out a sensitivity analysis to estimate the importance of each model parameter. The results are compared to available data.

Keywords: Knudsen Number; Rock Property; Coalbed Methane; Partial Differential Equation; Intrinsic Permeability (search for similar items in EconPapers)
Date: 2016
References: Add references at CitEc
Citations:

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-319-30379-6_1

Ordering information: This item can be ordered from
http://www.springer.com/9783319303796

DOI: 10.1007/978-3-319-30379-6_1

Access Statistics for this chapter

More chapters in Springer Books from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().