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Research Papers: Petroleum Engineering

Analysis of Multiphase Reservoir Production From Oil/Water Systems Using Rescaled Exponential Decline Models

[+] Author and Article Information
Qian Sun, Luis F. Ayala

John and Willie Leone Family
Department of Energy and Mineral Engineering,
The Pennsylvania State University,
State College, PA 16801

Contributed by the Petroleum Division of ASME for publication in the JOURNAL OF ENERGY RESOURCES TECHNOLOGY. Manuscript received July 13, 2018; final manuscript received January 1, 2019; published online January 30, 2019. Assoc. Editor: Gensheng Li.

J. Energy Resour. Technol 141(8), 082903 (Jan 30, 2019) (16 pages) Paper No: JERT-18-1522; doi: 10.1115/1.4042449 History: Received July 13, 2018; Revised January 01, 2019

In this study, we present an analytical approach based on rescaled exponential models that are able to analyze production data from oil/water systems producing under boundary-dominated flow conditions. The model is derived by coupling two-phase oil/water material balances with multiphase well deliverability equations. Nonlinearities introduced by relative permeability in multiphase oil/water systems are accounted for via depletion-dependent parameters applied to each of the flowing phases. This study shows that So–Sw–p relationships based on Muskat's standard assumptions can be successfully deployed to correlate saturation and pressure changes in these two-phase systems without the need for user-provided surface production ratios or well-stream composition information. The validity of the proposed model is verified by closely matching predictions against finely gridded numerical models for cases constrained by both constant and variable bottomhole pressure production. In addition, a straight-line analysis protocol is structured to estimate the original oil and water in place on the basis of available production data using rescaled exponential models. Finally, we explore conditions for validity of the assumptions used in the proposed model, including the So–Sw–p formulation, by conducting extensive sensitivity analysis on input parameters.

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References

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Figures

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Fig. 1

Flow chart of the iterative scheme used in forecasting application

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Fig. 2

Relative permeability data used in the case study

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Fig. 3

Comparison of the rescaled exponential model prediction against the numerical model in terms of (a) oil production rate, (b) water production rate, (c) average reservoir pressure, (d) average water saturation, and (e) production oil–water ratio for the constant pwf case. Overall recovery oil recovery factor = 2.5%.

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Fig. 4

Comparison of the rescaled exponential model prediction against the numerical model in terms of (a) oil production rate, (b) water production rate, (c) average reservoir pressure, and (d) average water saturation for the variable BHP case. Overall recovery oil recovery factor = 4.0%.

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Fig. 5

Relative permeability data used in the Swi sensitivity analysis

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Fig. 6

Bottomhole pressure sensitivity analysis of the proposed rescaled exponential model in terms of (a) oil production rate, (b) water production rate, (c) average reservoir pressure, and (d) average water saturation

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Fig. 7

Initial water saturation sensitivity analysis of the proposed rescaled exponential model in terms of (a) oil production rate, (b) water production rate, (c) average reservoir pressure, and (d) average water saturation

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Fig. 8

Oil compressibility sensitivity analysis of the proposed rescaled exponential model in terms of (a) oil production rate, (b) water production rate, (c) average reservoir pressure, and (d) average water saturation

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Fig. 9

Oil viscosity sensitivity analysis of the proposed rescaled exponential model in terms of (a) oil production rate, (b) water production rate, (c) average reservoir pressure, and (d) average water saturation

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Fig. 10

Flow chart of the production data analysis application

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Fig. 11

Production histories used in the case studies of the production data analysis case studies: (a) and (b) are for a constant pwf case and (c) and (d) are for a variable pwf case

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Fig. 12

Straight-line analysis for a constant pwf case: (a) and (b) are plotted under an initial condition and (c) and (d) are plotted after the convergence

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Fig. 13

Straight-line analysis for a variable pwf case: (a) and (b) are plotted under an initial condition and (c) and (d) are plotted after the convergence

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Fig. 14

Side and top views of the numerical reservoir model

Tables

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