Development of an Empirical Equation to Predict Hydraulic Fracture Closure Pressure from the Initial Shut-in Pressure after Treatment

Kholy, S. M.; Mohamed, I. M.; Loloi, M.; Abou-Sayed, O.; Abou-Sayed, A.

doi:10.2118/187495-MS

Development of an Empirical Equation to Predict Hydraulic Fracture Closure Pressure from the Initial Shut-in Pressure after Treatment

Authors: S. M. Kholy (Advantek Waste Management Services) | I. M. Mohamed (Advantek Waste Management Services) | M. Loloi (Advantek Waste Management Services) | O. Abou-Sayed (Advantek Waste Management Services) | A. Abou-Sayed (Advantek Waste Management Services)
DOI: https://doi.org/10.2118/187495-MS
Document ID: SPE-187495-MS
Publisher: Society of Petroleum Engineers
Source: SPE Liquids-Rich Basins Conference - North America, 13-14 September, Midland, Texas, USA
Publication Date: 2017

Document Type: Conference Paper
Language: English
ISBN: 978-1-61399-551-8
Copyright: 2017. Society of Petroleum Engineers
Disciplines: 2.4 Hydraulic Fracturing, 1.2.3 Rock properties, 2.1.3 Completion Equipment, 5.6 Formation Evaluation & Management, 2.2 Installation and Completion Operations, 3 Production and Well Operations, 4 Facilities Design, Construction and Operation, 2 Well completion, 2.5.4 Multistage Fracturing, 5 Reservoir Desciption & Dynamics, 1.8 Formation Damage, 5.5.2 Core Analysis, 5.6.2 Core Analysis, 0.2 Wellbore Design, 3 Production and Well Operations, 1.6 Drilling Operations, 4.1 Processing Systems and Design, 4.1.2 Separation and Treating
Keywords: hydraulic fracture, empirical equation, ISIP, fracture closure, waste injection
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During hydraulic fracturing operations, conventional pressure fall-off analyses (G-Function, Square Root of Time, and Diagnostic Plots) are the main methods for predicting fracture closure pressure. However, there are situations when it is not practical to determine the fracture closure pressure using these analyses. These conditions occur when closure time is long, such as in mini-frac tests in very tight formations, or waste fluid injection in reservoirs where there is low native permeability or where there is significant near wellbore damage. In these situations, it can take several days for the shut-in pressure to stabilize enough for conventional pressure fall-off tests analyses to be used. Thus, the objective of the present study is to attempt to correlate the fracture closure pressure to the early time fall off data using the field-measured Initial Shut-in Pressure (ISIP), rock properties and pumped / injection volumes.

A study of the injection pressure history of many injection wells with multiple hydraulic fractures in a variety of rock lithologies shows an interesting relationship between the fracture closure pressure and the initial shut-in pressure. An empirical equation has been created to calculate the fracture closure pressure as a function of the instantaneous shut-in pressure (ISIP) and the injection formation rock properties. Such rock properties include formation permeability, formation porosity, reservoir pressure, overburden pressure, Poisson's ratio, and Young's modulus. An empirical equation was developed using the injected volumes combined with data obtained from geomechancial models and core analysis of a wide range of injection horizons in terms of lithology type: Sandstone, Carbonate, and Shale.

The empirical equation was validated using different case studies by comparing the predicted fracture closure pressure calculated using the developed empirical equation to the measured fracture closure pressure value. The reported correlation predicted the fracture closure pressure with a relative error of less than 6%. Also, the empirical equation was used to predict the fracture closure pressure in a shale formation with less than 3% error.

The new empirical equation predicts the fracture closure pressure using a single point of falloff pressure data, the ISIP, without the need to conduct a conventional fracture closure analysis. This allows the operator to avoid having to collect pressure data between shut-in and until the actual fracture closure point which can take several days in highly damaged, very tight, and/or shale formations. Moreover, in operations with multiple batch injection events into the same interval / perforations, as is often found cuttings / slurry injection operations, the trends in closure pressure evolution can be tracked even if the fracture is never allowed to close.

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Warpinski, N.R., and Branagan, P.T. (1989, Sptember 1). Altered Stress Fracturing. Journal of Petroleum Technology. 41 (09): 990-997. SPE-17533-PA

Perkins, T.K., and Gonzalez, J.A. (1985, February 1). The Effect of Thermoelastic Stresses on Injection Well Fracturing. SPE Journal. 25 (01): 78-88. SPE-11332-PA

Moschovidis, Z., Steiger, R., Weng, X., Frankl, M., Abou-Sayed, A. 1999. The Mounds Drill Cuttings Injection Field Experiment. Paper presented at the 37th US rock mechanics symposium, Vail, Colorado, USA, 7-9 June. ARMA 99-1017

Tiner, R.L., Ely, J.W., and Schraufnagel, R. 1996. Frac Packs-State of the Art. Paper presented at the SPE Annual Technical Conference and Exhibition, Denver, Colorado, USA, 6-9 October. SPE- 36456-MS

Barree, R.D., Barree, V.L., and Craig, D.P. (2009, August 1). Holistic Fracture Diagnostics: Consistent Interpretation of Prefrac Injection Tests Using Multiple Analysis Methods. SPE Production & Operations 24 (03): 396-406. SPE-107877-PA

Mohamed, I.M., Nasralla, R.A., Sayed M.A., Marongiu-Porcu, M., and Ehling-Economides, C.A. 2011. Evaluation of After Closure Analysis Techniques for Tight and Shale Gas Formations. Paper presented at the SPE Hydraulic Fracturing Technology Conference, The Woodlands, Texas, USA, 24-25 January. SPE-140136-MS

Gandossi, L., and Van Estorff, U. 2015. An Overview of Hydraulic Fracturing and other Formation Stimulation Technologies for Shale Gas Production. Scientific and Policy Report by the Joint Research Centre of the European Commission

Singh, P.K., Agarwal, R.G., and Krase, L.D. 1987. Systematic Design and Analysis of Step-Rate Tests to Determine Formation Parting Pressure. Paper presented at the SPE Annual Technical Conference and Exhibition, Dallas, Texas, USA, 27-30 September. SPE-16798-MS

Felsenthal, M. (1974, October 28). Step-Rate Tests Determine Safe Injection Pressures in Floods. Oil and Gas Journal 72 (43): 49-54

Nolte, K.G. (1988, February 1). Application of Fracture Design Based on Pressure Analysis. SPE Production Engineering 3 (01): 31-42. SPE-13393-PA

Nolte, K.G. 1979. Determination of Fracture Parameters from Fracturing Pressure Decline. Paper presented at the SPE Annual Technical Conference and Exhibition, Las Vegas, Nevada, USA, 23-26 September. SPE-8341-MS

Howard, G. C, Fast, C. R, and Carter R.D. 1957. Derivation of the General Equation for Estimation the Extent of the Fracture Area. API Drilling and Production Practices. 261-268. NY

Matthews, W. R., and Kelly, J. 1967. How to Predict Formation Pressure and Fracture Gradient. Oil and Gas Journal 65 (08): 92-106

HubbertM. K.,, and Willis.D.G., 1957. Mechanics of Hydraulic Fracturing. AIME Petroleum Transactions 210: 153-168 SPE-686-G

Eaton, B.A. (1969, October 1). Fracture Gradient Prediction and its Application in Oilfield Operations. SPE Journal of Petroleum Technology 21 (10):1353-1360. SPE-2163-PA

Kiel, O.M. (1970, January 1). A New Hydraulic Fracturing Process. Journal of Petroleum Technology 22 (01): 89-96. SPE-2453-PA

Abou-Sayed, A.S., Andrews, D.E., and Buhidma, I.M. 1989. Evaluation of Oil Waste Injection below the Permafrost in Prudhoe Bay Field. Paper presented at the SPE California Regional Meeting, Bakersfield, California, USA, 5-7 April. SPE-18757-MS

Sirevag, G., and Bale, A. 1993. An Improved Method for Grinding and Reinjecting of Drill Cuttings. Presented at the SPE/IADC Drilling Conference, Amsterdam, The Netherlands, 22-25 February. SPE-25758-MS

Eaton, B.A.1975. The Equation for Geopressure Prediction from Well Logs. Paper presented at the SPE Fall Meeting, Dallas, Texas, USA, 28 September-1 October. SPE-5544-MS

Smolen, J.J., and Litsey, L.R. (1979, January 1). Formation Evaluation using Wireline Formation Tester Pressure Data. Journal of Petroleum Technology 31 (01): 25-32. SPE-6822-PA

Canady, W. 2011. A Method for Full-Range Young's Modulus Correction. Paper presented at the SPE North American Unconventional Gas Conference and Exhibition, The Woodlands, Texas, USA, 14-16 June. SPE-143604-MS

Coates, G.R., and Denoo, S.A. 1980. Log Derived Mechanical Properties and Rock Stress. Paper presented at the SPWLA 21st Annual Logging Symposium, Lafayette, Louisiana, USA, 8-11 July. SPWLA-1980-U

Horner, D.R.1951. Pressure Build-Up in Wells. Paper presented at the 3rd World Petroleum Congress, The Hague, The Netherlands, 28 May-6 June. WPC-4135

Bai, M, Diaz, A., Mclennan, J., and Reyna, J. 2013. Importance of Fracture Closure to Cuttings Injection Efficiency. Paper presented at the ISRM International Conference for Effective and Sustainable Hydraulic Fracturing, Brisbane, Australia, 20-22 May. ISRM-ICHF-2013-004

Warembourg, P.A., Klingensmith, E.A., HodgesJ.E.Jr,, and Erdle, J.E. 1985. Fracture Stimulation Design and Evaluation. Paper presented at the SPE Annual Technical Conference and Exhibition, Las Vegas, Nevada, USA, 22-26 September. SPE-14379-MS

Rohmer, B., Raverta, M., Boutaud de la Combe, J-L., and Jaffrezic, V. 2015. Minifrac Analysis using Well Test Technique as Applied to the Vaca Muerta Shale Play. Paper presented at the EUROPEC 2015, Madrid, Spain, 1-4 June, SPE-174380-MS

Buie, R.P-Jr., and Dang Y.H. 2000. Fracture Containment Mechanisms in Soft Rock Frac-Packs. Paper presented at the SPE International Symposium on Formation Damage Control, Lafayette, Louisiana, USA, 23-24 February. SPE-58763-MS

McClure, M.W., Jung, H., Cramer, D.D., and Sharma, M.M. (2016, August 1). The Fracture-Compliance Method for Picking Closure Pressure from Diagnostic Fracture Injection Tests. SPE Journal 21 (04): 1321-1339. SPE-179725-PA

Mclennan, J.D., and Roegiers, J.C. 1982. How Instantaneous are Instantaneous Shut-In Pressures. Paper presented at the SPE Annual Technical Conference and Exhibition, New Orleans, Louisiana, USA, 26-29 September. SPE-11064-MS

Howard, G.C., and Fast, C.R. (1970, February 1). Hydraulic Fracturing. Monograph Volume 2 of the Henry L. Doherty Series


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Development of an Empirical Equation to Predict Hydraulic Fracture Closure Pressure from the Initial Shut-in Pressure after Treatment

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