Theoretical Dimensionless Breakthrough Time of a Horizontal Well in a Vertically-Stacked Two-Layered Reservoir System with Varying Architecture Part II: Letter ‘B’ Architecture, Bottom Water Drive Mechanism

Abstract:

When a reservoir experiences water influx, the actual source of the water often cannot be ascertained with precision. Thus well work over measures to minimize the water may not be easy to fashion. Bottom water encroaches through the bottom of the reservoir and rises vertically, appearing in all the wells in the field at the same time, if the wells experience the same production histories. This further makes work over difficult, more so, if there are other external fluid influences akin to a top gas. However, if the arrival time is known, then factors affecting bottom water movement, with or without any other contiguous top gas, may be studied with a view to fashioning an effective work over to mitigate premature water arrival into the well. Horizontal wells are already known to delay encroaching water breakthrough time. For a cross flow layered reservoir completed with a horizontal well in each layer, flow dynamics will certainly be different from a single layer reservoir due to differences in individual layer, layers fluid, wellbore and interface properties and rate histories. In this paper, theoretical expressions for predicting dimensionless breakthrough times of horizontal wells in a two layered reservoir of architecture like letter ‘B’, experiencing bottom water drive mechanism of different patterns, with or without a top gas, are derived. The theoretical breakthrough times are based on dimensionless pressure and dimensionless pressure derivative distributions of each identified model. Twenty-seven (28) different models emerged as the total of the different models possible.

• Periodical: Advanced Materials Research (Volume 367)
• Pages: 385-392
• DOI: https://doi.org/10.4028/www.scientific.net/AMR.367.385
• Online since: October 2011
• Authors: E. Steve Adewole
• Keywords: B-Architecture, Bottom Water, Breakthrough Time, Layered Reservoir

References

[1] D. G Russell and M. Prats. Practical Aspects of Interlayer Crossflow, J. Pet. Tech, (1962) 589 - 594.

DOI: 10.2118/369-pa

[2] M. L Katz, and M. R Tek, A Theoretical study of Pressure Distribution and Fluid flux in Bounded Stratified Porous Systems with crossflow, Soc. Pet. Eng. J. (1970) 503 -511.

DOI: 10.2118/146-pa

[3] H.C. Lefkovits, P. Hazebroek, E. E Allen, and C.S. Matthew, A Study of the Behavior of Bounded Reservoirs Composed of Stratified Layers, Soc. Pet. Eng. J. (1961) 43 - 58.

DOI: 10.2118/1329-g

[4] J.D. Pendergrass, and V.J. Berry. Pressure Transient Performance of a Multilayered Reservoir with crossflow. Soc. Pet E.J. Dec. (1962) 347 - 354.

DOI: 10.2118/285-pa

[5] W.M. Cobb, H.J. Ramey, Jr., and F.G. Miller, Well Test Analysis for wells Producing Commingled Zone. J. Pet. Tech. Jan. (1972), 27 - 37.

DOI: 10.2118/3014-pa

[6] R. Raghavan, R Prijambodo and A.C. Reynolds, Well Test Analysis for Wells Producing Layered Reservoir with Crossflow, Soc. Pet. Eng. J. (1985) 407 -418.

DOI: 10.2118/10262-pa

[7] D. Bourdet, Pressure Behavior of Layered Reservoir with Crossflow, SPE paper No. 13628, presented at the 55 th Annual California Regional Meeting in Bakersfield C.A. Mar. 27 - 29 (1985).

DOI: 10.2118/13628-ms

[8] L. Larsen, Determination of Skin Factors and Flow Capacities of Individual Layers in TwoLayered Reservoir, SPE paper No 11138, presented at the 57 th Annual Technical Conference and Exhibition in New Orleans L.A., Sep. 26 - 29 (1982).

[9] P. A Goode and R.K. M Thambynayagam, Pressure Drawdown and Buildup Analysis of Horizontal wells in Anisotropic Media. SPEFE Trans., AIME, 283 (1987) 683 -97.

DOI: 10.2118/14250-pa

[10] F. J Kuchuk,.: 'Well Testing and Interpretation for Horizontal Wells, ', JPT(January 1995) 36.

[40] [11] J.B. Spath, E. Ozkan, and R. Raghavan, An Efficient Algorithm for Computation of Well Responses in Commingled Reservoir, SPEFE (1994)115 - 121.

DOI: 10.2118/21550-pa

[12] F.J. Kuchuk. Pressure Behavior of Laterally Composite Reservoirs, SPE 24678 presented at the 67th SPE Annual Technical Conference and Exhibition, Washington, DC (1992).

[13] E. S Adewole. Theoretical Dimensionless Breakthrough Time of a Horizontal Well in a TwoLayered Reservoir System with Varying Architecture Part I: Letter B, -Architecture, Edge Water Drive Mechanism. ICERD 10018, (2010).

DOI: 10.4028/www.scientific.net/amr.367.375

[14] A.C. Gringarten and H.J. Ramey, Jr. The Use of Source and Green's Functions in Solving Unsteady-Flow Problems in Reservoirs SPE Trans.; AIME, (1973) 255-285.

DOI: 10.2118/3818-pa

[15] E. S Adewole,. Instantaneous Source Functions for Selected Layered Reservoir Systems with Crossflow: Part I: Horizontal Wells and Constant-Pressure Boundaries, Journal of Engineering for Development 7 (2007).

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