Transient Behavior of Multilateral Wells in Numerical Models: A Hybrid
Analytical-Numerical Approach

Aguilar, Christian; Özkan, Erdal; Kazemi, Hossein; Kobaisi, Mohammed Al; Ramirez, Benjamin E.

doi:10.2523/104581-ms

Proceedings of SPE Middle East Oil and Gas Show and Conference 2007

DOI: 10.2523/104581-ms

|View full text |Cite

Transient Behavior of Multilateral Wells in Numerical Models: A Hybrid Analytical-Numerical Approach

Christian Aguilar¹,

Erdal Özkan²,

Hossein Kazemi³

et al.

Abstract: TX 75083-3836, U.S.A., fax 01-972-952-9435. AbstractThis paper presents an extension of transient well index approach to simulate pressure transient behavior of multilateral wells. This approach uses an analytical solution for the well index at early times and switches to the numerical well index at late times. The use of the transient well index eliminates the need for excessive grid refinement around the well. In this paper, we have improved the accuracy of the transient well index approach and have provided… Show more

Help me understand this report

Search citation statements

Order By: Relevance

Paper Sections

Select...

Citation Types

Supporting

Mentioning

Contrasting

Year Published

2014

Publication Types

Select...

Other1

Relationship

Self Cite0

Independent1

Authors

Journals

Cited by 1 publication

References 11 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

Well-Reservoir Coupling on the Numerical Simulation of Horizontal Wells in Gas Reservoirs

Souza

Pires

Abreu

2014

SPE Latin America and Caribbean Petroleum Engineering Conference

View full text Add to dashboard Cite

Wellbore flow and its coupling with porous media has been an active field of research, mainly because wellbore hydraulics (especially in complex geometry wells, like horizontal or multilateral) plays an important role in the pressure and production profiles. An inherent difficulty is associated to the multiscale nature of the flow problem: the cell hosting the well is generally much larger than wellbore radius. As a consequence, average pressure in a cell is not a good approximation of the well pressure. Moreover, at the interface between well and reservoir there is a change in flow pattern, from porous media to pipe flow. In this work a well-reservoir coupling technique is developed and applied to the numerical simulation of horizontal wells in gas reservoirs. This model considers wellbore hydraulics and storage.We consider the 3D single-phase isothermal flow of a compressible fluid in porous media and 1D single-phase isothermal flow of a compressible fluid in the wellbore. In both regions, mass conservation, momentum balance and real gas equation of state are the governing equations. Conservative forms are used for continuity and momentum. Flow continuity and pressure equilibrium are considered at the interface between well and reservoir. The nonlinear partial differential equations can be rewritten to allow the coupling of the pressure field between the porous media (reservoir) and the free media (well) by means of an implicit formulation for the finite difference method presented. A hybrid grid technique was applied to improve the description of the flow close to the wellbore. In addition, pressure in reservoir and wellbore are solved simultaneously, while velocities in wellbore are updated at every iterative step. An iterative method to solve numerically the resulting linear system for the primitive variable pressure was developed and it includes the wellbore/reservoir coupling into a finite difference numerical model. This methodology is useful for the analysis of transient pressure and velocity behavior in both reservoir and wellbore including the change in flow pattern from porous media to pipe flow. Effects of permeability, gas specific gravity, formation damage and grid refinement are considered in different sensitivity analysis for several well-reservoir systems. Results for pressure and pressure derivative followed the expected behavior of the reservoir model chosen, both in early and long times. Effects of friction, convection and compressibility in wellbore hydraulics were successfully included in the numerical approach.

show abstract

Well-Reservoir Coupling on the Numerical Simulation of Horizontal Wells in Gas Reservoirs

Souza

Pires

Abreu

2014

SPE Latin America and Caribbean Petroleum Engineering Conference

View full text Add to dashboard Cite

show abstract

scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.

Contact Info

customersupport@researchsolutions.com

10624 S. Eastern Ave., Ste. A-614

Henderson, NV 89052, USA

Blog Terms and Conditions API Terms Privacy Policy Contact Cookie Preferences Do Not Sell or Share My Personal Information

Made with 💙 for researchers

Part of the Research Solutions Family.

Transient Behavior of Multilateral Wells in Numerical Models: A Hybrid Analytical-Numerical Approach

Cited by 1 publication

References 11 publications

Well-Reservoir Coupling on the Numerical Simulation of Horizontal Wells in Gas Reservoirs

Well-Reservoir Coupling on the Numerical Simulation of Horizontal Wells in Gas Reservoirs

Contact Info

Product

Resources

About