Applicability of a succession-of-pseudosteady-states approach on the modeling of depleting gas reservoirs

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Abstract

The succession-of-pseudosteady-states approach, originally established for linear flow problems, has been extended to calculate the long-time behavior of real gas flow in a closed reservoir. To extend the approach, a linearized form of gas diffusivity equation was derived in terms of normalized pseudovariables. The applicability and limitations of the approach were examined through error analysis on the results from a series of numerical simulation works under various reservoir and operational parameters including permeability, pressure, flowrate, and gas properties. For most cases, a fairly good agreement was observed between the predictions from the pseudosteady-states model and conventional reservoir simulation. The accuracy depends weakly on the flowrate, and is almost independent of specific gravity. Except for the cases of very low permeabilities, however, computations indicate that neglecting infinite-acting flow behavior does not introduce significant error in the procedure. The validity and computational efficiency of the succession-of-pseudosteady-states approach for the analysis of gas reservoirs has been confirmed in the present work.

Original languageEnglish
Pages (from-to)1521-1529
Number of pages9
JournalEnergy Sources, Part A: Recovery, Utilization and Environmental Effects
Volume31
Issue number17
DOIs
StatePublished - 2009 Jan 1

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Gases
Computational efficiency
Density (specific gravity)
Error analysis
Flow of gases
Computer simulation

Keywords

  • Gas flow
  • Pseudosteady-states
  • Pseudovariable
  • Reservoir simulation

Cite this

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title = "Applicability of a succession-of-pseudosteady-states approach on the modeling of depleting gas reservoirs",
abstract = "The succession-of-pseudosteady-states approach, originally established for linear flow problems, has been extended to calculate the long-time behavior of real gas flow in a closed reservoir. To extend the approach, a linearized form of gas diffusivity equation was derived in terms of normalized pseudovariables. The applicability and limitations of the approach were examined through error analysis on the results from a series of numerical simulation works under various reservoir and operational parameters including permeability, pressure, flowrate, and gas properties. For most cases, a fairly good agreement was observed between the predictions from the pseudosteady-states model and conventional reservoir simulation. The accuracy depends weakly on the flowrate, and is almost independent of specific gravity. Except for the cases of very low permeabilities, however, computations indicate that neglecting infinite-acting flow behavior does not introduce significant error in the procedure. The validity and computational efficiency of the succession-of-pseudosteady-states approach for the analysis of gas reservoirs has been confirmed in the present work.",
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T1 - Applicability of a succession-of-pseudosteady-states approach on the modeling of depleting gas reservoirs

AU - Lee, K. S.

PY - 2009/1/1

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N2 - The succession-of-pseudosteady-states approach, originally established for linear flow problems, has been extended to calculate the long-time behavior of real gas flow in a closed reservoir. To extend the approach, a linearized form of gas diffusivity equation was derived in terms of normalized pseudovariables. The applicability and limitations of the approach were examined through error analysis on the results from a series of numerical simulation works under various reservoir and operational parameters including permeability, pressure, flowrate, and gas properties. For most cases, a fairly good agreement was observed between the predictions from the pseudosteady-states model and conventional reservoir simulation. The accuracy depends weakly on the flowrate, and is almost independent of specific gravity. Except for the cases of very low permeabilities, however, computations indicate that neglecting infinite-acting flow behavior does not introduce significant error in the procedure. The validity and computational efficiency of the succession-of-pseudosteady-states approach for the analysis of gas reservoirs has been confirmed in the present work.

AB - The succession-of-pseudosteady-states approach, originally established for linear flow problems, has been extended to calculate the long-time behavior of real gas flow in a closed reservoir. To extend the approach, a linearized form of gas diffusivity equation was derived in terms of normalized pseudovariables. The applicability and limitations of the approach were examined through error analysis on the results from a series of numerical simulation works under various reservoir and operational parameters including permeability, pressure, flowrate, and gas properties. For most cases, a fairly good agreement was observed between the predictions from the pseudosteady-states model and conventional reservoir simulation. The accuracy depends weakly on the flowrate, and is almost independent of specific gravity. Except for the cases of very low permeabilities, however, computations indicate that neglecting infinite-acting flow behavior does not introduce significant error in the procedure. The validity and computational efficiency of the succession-of-pseudosteady-states approach for the analysis of gas reservoirs has been confirmed in the present work.

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