An Improved Practical Solution for Modeling Single Phase Multi-Fractured Horizontal Well Performance
- H. Behmanesh (Anderson Thompson Reservoir Strategies) | D. M. Anderson (Anderson Thompson Reservoir Strategies) | J. M. Thompson (Anderson Thompson Reservoir Strategies) | D. W. Nakaska (Anderson Thompson Reservoir Strategies)
- Document ID
- Society of Petroleum Engineers
- SPE Unconventional Resources Conference, 15-16 February, Calgary, Alberta, Canada
- Publication Date
- Document Type
- Conference Paper
- 2017. Society of Petroleum Engineers
- 5.5 Reservoir Simulation, 5.3.2 Multiphase Flow, 1.6 Drilling Operations, 5.3 Reservoir Fluid Dynamics, 1.6.6 Directional Drilling, 5 Reservoir Desciption & Dynamics, 5.1 Reservoir Characterisation
- succession of steady-states, rate transient analysis, modeling, Laplace space, pseudo-time
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Analytical modeling of multi-fractured horizontal well performance can be overly complex and cumbersome due to the use of Laplace space and pseudo-time. State-of-the-art analytical solutions are typically developed using Laplace space, which is not easily understood and often requires numerical inversion. Pseudo-time (for gas reservoirs) is iterative and has demonstrated issues with accuracy, particularly in stress-sensitive reservoirs. In this work, we present a new, practical semi-analytical model which provides a direct time domain solution using the succession of steady-states method without the need for pseudo-time.
The well-reservoir description used in our approach is based on the enhanced fracture region model introduced by Stalgarova and Mattar (2012). It is a composite system consisting of a stimulated (inner) region connected to a fracture and adjacent to an unstimulated (outer) region. Wattenbarger's bounded linear flow solution (1998) is utilized to account for linear flow contributions from both regions, in succession. The proportion of flow through time from the inner and outer regions is determined using a transient productivity index during transient flow and using material balance during boundary-dominated flow.
The accuracy of the model is evaluated by comparing its results to an equivalent numerical model, encompassing a wide variety of tight oil and gas descriptions with varying reservoir properties and operating conditions. For all cases studied, this model achieves either the same consistency with numerical simulation results, in comparison to its Laplace space counterpart. This new model is also more accurate for gas reservoirs with pressure-dependent rock and fluid properties. The associated nonlinearities are handled using a modified productivity index during transient flow, which is a function of the average reservoir pressure within the region of influence. This average pressure is traditionally calculated using a material balance performed over the area of investigation through an iterative procedure. In order to avoid such a procedure, an explicit relationship has been developed which correlates the average reservoir pressure to the initial reservoir pressure and the bottomhole flowing pressure. This new technique provides a simple engineering workflow and an alternative to numerical simulation for modeling complex fracture networks.
To the authors knowledge, this is the first analytical model which does not require an iterative approach to obtain its solution during transient flow. Since it is solved in the time domain (unlike models in Laplace space), it can be more easily implemented in a spreadsheet application. It is also more accurate, requires less calculation effort and can be extended to accommodate additional complexities, such as multiphase flow.
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Behmanesh, H., Clarkson, C. R., Tabatabaie, S. H., Heidari Sureshjani, M., 2015. Impact of distance-of-investigation calculations on rate-transient analysis of unconventional gas and light-oil reservoirs: new formulations for linear flow. JCPT 54 (6), 509e519. http://dx.doi.org/10.2118/178928-PA.
Brohi, I., Pooladi-Darvish, M. and Aguilera, R. 2011. Modeling Fractured Horizontal Wells as Dual Porosity Composite Reservoirs-Application to Tight Gas, Shale Gas and Tight Oil Cases. Paper SPE 144057 presented at the SPE Western North American Region Meeting, Anchorage, Alaska, 7-11 May. http:/dx.doi.org/10.2118/144057-MS.
Brown, M., Ozkan, E., Raghavan, R. and Kazemi, H. 2009. Practical Solutions for Pressure Transient Responses of Fractured Horizontal Wells in Unconventional Reservoirs. Paper SPE 125043 presented at the SPE Annual Technical Conference and Exhibition, New Orleans, Louisiana, 4-7 October. http:/dx.doi.org/10.2118/125043-MS.
Clarkson, C. R., Qanbari, F., 2015. An approximate semi-analytical multiphase forecasting method for multi-fractured tight light-oil wells with complex fracture geometry. J. Can. Pet. Technol. 54 (06), 489-508. http://dx.doi.org/10.2118/178665-PA.
Clarkson, C. R., Qanbari, F., 2016a. History matching and forecasting tight gas condensate and oil wells by use of an approximate semi-analytical model derived from the dynamic-drainage-area concept. SPE Reservoir Eval. Eng. http://dx.doi.org/10.2118/175929-PA.
Cinco-Ley, H., Samaniego, V. F. and Dominguez, A. N. 1978. Transient Pressure Behavior for a Well with a Finite-Conductivity Vertical Fracture. SPE Journal 18 (4): 253-264. SPE 6014-PA. http:/dx.doi.org/10.2118/6014-PA.
Cinco-Ley, H., and Meng, H.-Z. 1988. Pressure Transient Analysis of Wells with Finite Conductivity Vertical Fractures in Double Porosity Reservoirs. Paper SPE 18172 presented at the SPE Annual Technical Conference and Exhibition, Houston, Texas, 2-5 October. http:/dx.doi.org/10.2118/18172-MS.
Daneshy, A. A. 2003. Off-Balance Growth: A New Concept in Hydraulic Fracturing. J. Pet Tech 55 (4): 78-85. http:/dx.doi.org/10.2118/80992-MS.
Gringarten, A. C., Ramey H. J.Jr. and Henry, J. 1974. Unsteady-State Pressure Distributions Created by a Well With a Single Horizontal Fracture, Partial Penetration, or Restricted Entry. SPE Journal 14 (4): 413-426. SPE 3819-PA. http:/dx.doi.org/10.2118/3819-PA.
Heidari Sureshjani, M., Clarkson, C. R., 2015. An analytical model for analyzing and forecasting production from multi-fractured horizontal wells with complex branched-fracture geometry. SPE Reservoir Eval. Eng. 18 (03), 356–374. http://dx.doi.org/10.2118/176025-PA.
Houze, O. P., Horne, R. N. and Ramey H. J.Jr. 1988. Pressure-Transient Response of an Infinite-Conductivity Vertical Fracture in a Reservoir with Double-Porosity Behavior. SPE Formation Evaluation 3 (3): 510-518. SPE 12778-PA. http:/dx.doi.org/10.2118/12778-PA.
Lee, S. T. and Brockenbrough, J. R. 1986. A New Analytic Solution for Finite-Conductivity Vertical Fractures. SPE Formation Evaluation 1 (1): 75-88. SPE 12013-PA. http:/dx.doi.org/10.2118/12013-PA.
Ogunyomi, B. A., Patzek, T. W., Lake, L. W., Kabir, C. S., 2016. History matching and rate forecasting in unconventional oil reservoirs with an approximate analytical solution to the double-porosity model. SPE Reserv. Eval. Eng. 19 (1), 70e82. http://dx.doi.org/10.2118/171031-PA.
Samandarli, O., Al-Ahmadi, H., and Wattenbarger, R. A. 2011. A New Method for History Matching and Forecasting Shale Gas Reservoir Production Performance With a Dual-Porosity Model. Presented at the SPE North American Gas Conference and Exhibition, The Woodlands, Texas, USA, 12–16 June. SPE-144335-MS. http://dx.doi.org/10.2118/144335-MS.
Shahamat, M. S., Mattar, L. and Aguilera R. 2014. A Physics-Based Method for Production Data Analysis of Tight and Shale Petroleum Reservoirs Using Succession of Pseudo-Steady States. Paper SPE 167686 presented at SPE/EAGE European Unconventional Resources Conference and Exhibition, Vienna, Austria, 25-27 February. DOI: 10.2118/167686-MS.
Wattenbarger, R. A., El-Banbi, A. H., Villegas, M. E. and Maggard, J. B. 1998. Production Analysis of Linear Flow into Fractured Tight Gas Wells. Paper SPE 39931 presented at SPE Rocky Mountain Regional/Low Permeability Reservoirs Symposium and Exhibition, Denver, Colorado, 5–8 April. DOI: 10.2118/39931-MS.