Analytical production modeling for hydraulically fractured gas reservoirs

M. K. Rahman, Mohammed Motiur Rahman, A. H. Joarder

    Research output: Contribution to journalArticlepeer-review

    20 Scopus citations


    This article presents a complete analytical method to efficiently generate gas production profiles from hydraulically fractured reservoirs. Equations for production rates are first developed incorporating fracture parameters in the diffusivity-based drawdown solutions for transient as well as pseudo steady-state flow conditions. Some important considerations for modeling the key propped-fracture parameter - dimensionless fracture conductivity - are detailed for realistic production prediction. A time-step algorithm is then discussed to apply the rate equations to generate production profiles over a period of time. Analytical equations are presented to update declining reservoir pressure and resulting rock and gas properties in every time-step as functions of cumulative gas productions. Finally, a simple new equation is developed through a series of parametric applications of the two rate equations, to determine the time to switch from the transient rate equation to the pseudo steady-state equation, particularly in low-permeability reservoirs. To establish confidence in the predictability of the model, results are verified by a numerical reservoir simulator. Thus, the model is a high potential for efficient repetitive computation in early-stage design optimization of hydraulic fracture treatments for gas reservoirs.

    Original languageBritish English
    Pages (from-to)683-704
    Number of pages22
    JournalPetroleum Science and Technology
    Issue number6
    StatePublished - 1 Jun 2007


    • Gas reservoir
    • Hydraulic fracture
    • Production model
    • Reservoir fluid flow


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