Abstract
Tight multi-medium oil reservoirs are the main source of hydrocarbon resources around the world. Acid fracturing is the most effective technology to improve productivity in such reservoirs. As carbonates are primarily composed of dolomite and calcite, which are easily dissolved by hydrochloric acid, high-permeability region will be formed near the well along with the main artificial fracture when acid fracturing is implemented in tight multi-medium oil reservoirs. In this study, a comprehensive composite linear flow model was developed to simulate the transient pressure behavior of an acid fracturing vertical well in a naturally fractured vuggy carbonate reservoir. By utilizing Pedrosa’s substitution, perturbation, Laplace transformation and Stehfest numerical inversion technology, the pressure behavior results were obtained in real time domain. Furthermore, the result of this model was validated by comparing with those of previous literature. Additionally, the influences of some prevailing parameters on the type curves were analyzed. Moreover, the proposed model was applied to an acid fracturing well to evaluate the effectiveness of acid fracturing measures, to demonstrate the practicability of the proposed model.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
Abass H H, Al-Mulhem A A, Alqam M H, Khan M R (2006). Acid fracturing or proppant fracturing in carbonate formation? A rock mechanics view. In: SPE Annual Technical Conference and Exhibition, San Antonio, USA
Abdassah D, Ershaghi I (1986). Triple-porosity system for representing naturally fractured reservoirs. SPE Form Eval, 1(02): 113–127
Brown M, Ozkan E, Raghavan R, Kazemi H (2011). Practical solutions for pressure transient responses of fractured horizontal wells in unconventional reservoirs. SPE Reservoir Eval Eng, 14(06): 663–676
Camacho-Velázquez R, Vasquez-Cruz M, Castrejon-Aivar R, Arana-Ortiz V (2002). Pressure transient and decline curve behaviors in naturally fractured vuggy carbonate reservoirs. In: SPE Annual Technical Conference and Exhibition, San Antonio, USA
Dora P R (2008). Pressure behavior of a system containing multiple vertical fractures, Dissertation for the Doctoral Degree. Norman: University of Oklahoma
Fredd C N (2000). Dynamic model of wormhole formation demonstrates conditions for effective skin reduction during carbonate matrix acidizing. In: SPE Permian Basin Oil and Gas Recovery Conference, Midland, USA
Fuentes-Cruz G, Camacho-Velazquez R, Vasquez-Cruz M (2004). Pressure transient and decline curve behaviors for partially penetrating wells completed in naturally fractured-vuggy reservoirs. In: SPE International Petroleum Conference in Mexico, Puebla Pue., Mexico
Guo J, Nie R, Jia Y (2012). Dual permeability fow behavior for modeling horizontal well production in fractured vuggy carbonate reservoirs. J Hydrol (Amst), 464–465: 281–293
Igbokoyi A O, Tiab D (2008). Pressure transient analysis in partially penetrating infinite conductivity hydraulic fractures in naturally fractured reservoirs. In: SPE Annual Technical Conference and Exhibition, Denver, USA
Kossack C A, Gurpinar O A (2001). Methodology for simulation of vuggy and fractured reservoirs. In: SPE Reservoir Simulation Symposium, Houston, USA.
Kang Z, Wu Y S, Li J, Wu Y, Zhang J, Wang G (2006). Modeling multiphase flow in naturally fractured vuggy petroleum reservoirs. In: SPE Annual Technical Conference and Exhibition, San Antonio, USA
Liu J, Bodvarsson G S, Wu Y S (2003). Analysis of flow behavior in fractured lithophysal reservoirs. J ContamHydrol, 62–63(1): 189–211
Liu M, Zhang S, Mou J, Zhou F (2013). Wormhole propagation behavior under reservoir condition in carbonate acidizing. Transp Porous Media, 96(1): 203–220
Lei G, Liao Q, Zhang D A (2018). New analytical model for flow in acidized fractured-vuggy porous media. Scientifc Reports, 9(1): 8293
Pedrosa O A (1986) Pressure transient response in stress-sensitive formations. In: SPE California Regional Meeting, Oakland, USA
Raghavan R, Uraiet A, Tomas G W (1978). Vertical fracture height: effect on transient flow behavior. Soc Petrol Eng J, 18(4): 265–277
Rodriguez F, Horne R N, Cinco-Ley H (1984). Partially penetrating fractures: pressure transient analysis of an infinite conductivity fracture. In: SPE Annual Technical Conference and Exhibition, Houston, USA
Stalgorova E, Mattar L (2012). Practical analytical model to simulate production of horizontal wells with branch fractures. In: SPE Canadian Unconventional Resource Conference, Calgary, Canada
Stehfest H (1970). Numerical inversion of Laplace transforms. Commun ACM, 13(1): 47–49
Tao H, Zhang L, Liu Q, Deng Q, Luo M, Zhao Y (2018). An analytical flow model for heterogeneous multi-fractured systems in shale gas reservoirs. Energies, 3422 (12)
Wu Y S, Qin G, Ewing R E, Efendiev Y, Kang Z, Ren Y (2006). A multiple-continuum approach for modeling multiphase flow in naturally fractured vuggy petroleum reservoirs. In: International Oil & Gas Conference and Exhibition in China, Beijing, China
Wu Y S, Ehlig-Economides C A, Qin G, Kang Z, Zhang W, Ajayi B T, Tao Q (2007). A triple-continuum pressure-transient model for a naturally fractured vuggy reservoir. In: SPE Annual Technical Conference and Exhibition, Anaheim, USA
Wang L, Wang X, Luo E, Wang J (2014). Analytical modeling of fow behavior for wormholes in naturally fractured-vuggy porous media. Transp Porous Media, 105(3): 539–558
Wang L, Chen X, Xia Z (2018a). A novel semi-analytical model for multi-branched fractures in naturally fractured-vuggy reservoirs. Sci Rep, 8(1): 11586
Wang M X, Fan Z F, Dong X Y, Song H, Zhao W, Xu G (2018b). Analysis of flow behavior for acid fracturing wells in fractured-vuggy carbonate reservoirs. Mathematical Problems in Engineering, 2018 (PT.3): 6431910.1–6431910.20
Wang Y, Yi X (2017). Transient pressure behavior of a fractured vertical well with a finite-conductivity fracture in triple media carbonate reservoir. J Porous Media, 20(8): 707–722
Wu Y, Cheng L, Huang S, Fang S, Jia P, Wang S (2019). A semianalytical model for simulating fluid flow in naturally fractured reservoirs with nonhomogeneous vugs and fractures. SPE J, 24(01): 334–348
Wang S, Cheng L, Xue Y, Huang S, Wu Y, Jia P, Sun Z (2018). A semi-analytical method for simulating two-phase flow performance of horizontal volatile oil wells in fractured carbonate reservoirs. Energies, 11(10): 2700
Xing C, Yin H, Liu K, Li X, Fu J (2018). Well test analysis for fractured and vuggy carbonate reservoirs of well drilling in large scale cave. Energies, 11(1): 80
Xu Y, Li P, Du X, Lu Z, Li D, Lu D (2019). A novel analytical well test model for fractured vuggy carbonate reservoirs considering the coupling between oil flow and wave propagation. J Petrol Sci Eng, 173: 447–461
Yang Y, Liu Z, Sun Z, An S, Zhang W, Liu P, Yao J, Ma J (2017). Research on Stress Sensitivity of Fractured Carbonate Reservoirs Based on CT Technology. Energies, 10(11): 1833
Yuan J, Jiang R, Zhang W (2018). The workflow to analyze hydraulic fracture effect on hydraulic fractured horizontal well production in composite formation system. Advances in Geo-Energy Research, 2 (3): 319–342
Yao J, Huang Z, Li Y, Wang C, Lv X (2010). Discrete fracture-vug network model for modeling fluid flow in fractured vuggy porous media. In: International Oil and Gas Conference and Exhibition in China, Beijing, China
Zhang F, An M, Yan B, Wang Y (2017). Modeling the depletion of fractured vuggy carbonate reservoir by coupling geomechanics with reservoir flow. In: SPE Reservoir Characterisation and Simulation Conference and Exhibition
Zhang H, Wang X, Wang L (2015). An analytical solution of partially penetrating hydraulic fractures in a box-shaped reservoir. Math Probl in Eng, 2015:11 (in Chinese)
Zeng Y, Wang Q, Ning Z, Sun H (2018). A mathematical pressure transient analysis model for multiple fractured horizontal wells in shale gas reservoirs. Geofluids, 2018: 8065949
Zeng J, Wang X, Guo J, Zeng F (2017). Composite linear flow model for multi-fractured horizontal wells in heterogeneous shale reservoir. J Nat Gas Sci Eng, 38: 527–548
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Nie, W., Zhang, T., Zheng, X. et al. Pressure transient analysis for a fractured well in a stress-sensitive tight multi-medium oil reservoir. Front. Earth Sci. 15, 719–736 (2021). https://doi.org/10.1007/s11707-020-0860-y
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11707-020-0860-y