Impact of stress dependence of elastic moduli and poroelastic constants on earth surface uplift due to injection
Keywords:
Earth surface uplift, geomechanics, Biot coefficient, stress dependent elastic moduli, CO2 sequestrationAbstract
Hydromechanical models have typically assumed constant stress-independent elastic moduli to estimate, forecast, and history-match earth surface uplift. The effect of stress-dependent elastic moduli and poroelastic constant (i.e., Biot coefficient) on Earth surface uplift during injection is investigated in this study. Experimental data gathered for different rock types shows that Biot coefficient and bulk modulus vary in response to Terzaghi effective stress. Stress-dependent elastic modulus was imported to the numerical model representing Berea sandstone. Hydromechanical simulations were performed to model CO2 injection into the Berea reservoir by incorporating elastic moduli stress dependency. Hydromechanical modeling results show that using stress-independent elastic moduli causes under-estimation of Earth surface uplift due to injection. A decrease in Young’s modulus and an increase in Biot coefficient because of injection can contribute to a higher estimated uplift. Neglecting the stress dependency effect could cause an erroneous estimate of potential surface uplift due to injection. The impact of geological properties of Berea and injecting brine instead of CO2 on surface uplift trend were also investigated.
Document Type: Original article
Cited as: Raziperchikolaee, S. Impact of stress dependence of elastic moduli and poroelastic constants on earth surface uplift due to injection. Advances in Geo-Energy Research, 2023, 10(1): 56-64. https://doi.org/10.46690/ager.2023.10.06
ReferencesAlvarado, V., Manrique, E. Enhanced oil recovery: An update review. Energies, 2010, 3(9): 1529-1575.
Asghari, K., Dong, M., Shire, J., et al. Development of a correlation between performance of CO2 flooding and the past performance of waterflooding in Weyburn oil field. SPE Production & Operations, 2007, 22(2): 260-264. Biot, M., Willis, D. The elastic coeffcients of the theory of consolidation. Journal of Applied Mechanics, 1957, 24: 594-601.
Bissell, R., Vasco, D., Atbi, M., et al. A full field simulation of the in salah gas production and CO2 storage project using a coupled geo-mechanical and thermal fluid flow simulator. Energy Procedia, 2011, 4: 3290-3297.
Bjørnarå, T. I., Bohloli, B., Park, J. Field-data analysis and hydromechanical modeling of CO2 storage at in Salah, Algeria. International Journal of Greenhouse Gas Control, 2018, 79: 61-72.
Blöcher, G., Reinsch, T., Hassanzadegan, A., et al. Direct and indirect laboratory measurements of poroelastic properties of two consolidated sandstones. International Journal of Rock Mechanics and Mining Sciences, 2014, 67: 191-201.
Bohloli, B., Bjornar˚a, T. I., Park, J., et al. Can we use surface uplift data for reservoir performance monitoring? A case study from in Salah, Algeria. International Journal of Greenhouse Gas Control, 2018, 76: 200-207.
CMG-GEM. Advance compositional and ghg reservoir simulator user’s guide, 2016.
Furre, A.-K., Eiken, O., Alnes, H., et al. 20 years of monitoring CO2-injection at Sleipner. Energy Procedia, 2017, 114: 3916-3926.
Gale, J. Geological storage of CO2: What do we know, where are the gaps and what more needs to be done? Energy, 2004, 29(9-10): 1329-1338.
Gambolati, G., Teatini, P. Geomechanics of subsurface water withdrawal and injection. Water Resources Research, 2015, 51(6): 3922-3955.
Gambolati, G., Teatini, P., Ba´u, D., et al. Importance of poroelastic coupling in dynamically active aquifers of the po river basin, Italy. Water Resources Research, 2000, 36(9): 2443-2459.
Hart, D. J. Laboratory measurements of poroelastic constants and flow parameters and some associated phenomena. Wisconsin, University of Wisconsin-Madison, 2000.
Hart, D. J., Wang, H. F. Variation of unjacketed pore compressibility using gassmann’s equation and an overdetermined set of volumetric poroelastic measurements. Geophysics, 2010, 75(1): N9-N18.
Hassanzadegan, A., Guérizec, R., Reinsch, T., et al. Static and dynamic moduli of malm carbonate: A poroelastic correlation. Pure and Applied Geophysics, 2016, 173(8): 2841-2855.
Jha, B., Juanes, R. Coupled multiphase flow and poromechanics: A computational model of pore pressure effects on fault slip and earthquake triggering. Water Resources Research, 2014, 50(5): 3776-3808.
Jun, S., Song, Y., Wang, J., et al. Formation uplift analysis during geological CO2-storage using the gaussian pressure transient method: Krechba (algeria) validation and south korean case studies. Geoenergy Science and Engineering, 2023, 221: 211404.
Li, C., Laloui, L. Coupled multiphase thermo-hydromechanical analysis of supercritical CO2 injection: Benchmark for the in salah surface uplift problem. International Journal of Greenhouse Gas Control, 2016, 51: 394-408.
Li, H., Zhao, L., Han, D., et al. Experimental study on frequency-dependent elastic properties of weakly consolidated marine sandstone: Effects of partial saturation. Geophysical Prospecting, 2020, 68(9): 2808-2824.
Liu, H., Rutqvist, J. Coupled hydro-mechanical processes associated with multiphase flow in a dual-continuum system: Formulations and an application. Rock Mechanics and Rock Engineering, 2013, 46(5): 1103-1112.
Ma, X., Zoback, M. D. Laboratory experiments simulating poroelastic stress changes associated with depletion and injection in low-porosity sedimentary rocks. Journal of Geophysical Research: Solid Earth, 2017, 122(4): 2478-2503.
Mazzoldi, A., Rinaldi, A. P., Borgia, A., et al. Induced seismicity within geological carbon sequestration projects: Maximum earthquake magnitude and leakage potential from undetected faults. International Journal of Greenhouse Gas Control, 2012, 10: 434-442.
Morris, J. P., Hao, Y., Foxall, W., et al. A study of injection-induced mechanical deformation at the in salah CO2 storage project. International Journal of Greenhouse Gas Control, 2011, 5(2): 270-280.
Pearse, J., Singhroy, V., Samsonov, S., et al. Anomalous surface heave induced by enhanced oil recovery in northern Alberta: Insar observations and numerical modeling. Journal of Geophysical Research: Solid Earth, 2014, 119(8): 6630-6649.
Pei, L., Blöcher, G., Milsch, H., et al. Thermo-mechanical properties of upper jurassic (malm) carbonate rock under drained conditions. Rock Mechanics and Rock Engineering, 2018, 51(1): 23-45.
Qin, X., Han, D., Zhao, L. Measurement of grain bulk modulus on sandstone samples from the norwegian continental shelf. Journal of Geophysical Research: Solid Earth, 2022, 127(9): e2022JB024550.
Raziperchikolaee, S., Alvarado, V., Yin, S. Effect of hydraulic fracturing on long-term storage of CO2 in stimulated saline aquifers. Applied Energy, 2013, 102: 1091-1104.
Raziperchikolaee, S., Cotter, Z., Gupta, N. Assessing mechanical response of CO2 storage into a depleted carbonate reef using a site-scale geomechanical model calibrated with field tests and insar monitoring data. Journal of Natural Gas Science and Engineering, 2021, 86: 103744.
Raziperchikolaee, S., Kelley, M., Gupta, N. A screening framework study to evaluate CO2 storage performance in single and stacked caprock-reservoir systems of the northern appalachian basin. Greenhouse Gases: Science and Technology, 2019, 9(3): 582-605.
Raziperchikolaee, S., Miller, J. Modeling pressure response into a fractured zone of precambrian basement to understand deep induced-earthquake hypocenters from shallow injection. The Leading Edge, 2015, 34(6): 684-689.
Raziperchikolaee, S., Mishra, S. Statistical based hydromechanical models to estimate poroelastic effects of CO2 injection into a closed reservoir. Greenhouse Gases: Science and Technology, 2020a, 10(1): 176-195.
Raziperchikolaee, S., Pasumarti, A. The impact of the depthdependence of in-situ stresses on the effectiveness of stacked caprock reservoir systems for CO2 storage. Journal of Natural Gas Science and Engineering, 2020b, 79: 103361.
Raziperchikolaee, S., Pasumarti, A., Mishra, S. The effect of natural fractures on CO2 storage performance and oil recovery from CO2 and wag injection in an appalachian basin reservoir. Greenhouse Gases: Science and Technology, 2020, 10(5): 1098-1114.
Riley, R., Harper, J., Harrison III, W., et al. Evaluation of CO2- enhanced oil recovery and sequestration opportunities in oil and gas fields in the MRCSP Region MRCSP Phase II topical report october 2005 october 2010. DOE-NETL Cooperative Agreement DE-FC26-05NT42589, 2010.
Rinaldi, A. P., Rutqvist, J., Finsterle, S., et al. Inverse modeling of ground surface uplift and pressure with ITOUGHPEST and TOUGH-FLAC: The case of CO2 injection at in Salah, Algeria. Computers & Geosciences, 2017, 108: 98-109.
Rutqvist, J., Rinaldi, A. P., Cappa, F., et al. Fault activation and induced seismicity in geological carbon storage-lessons learned from recent modeling studies. Journal of Rock Mechanics and Geotechnical Engineering, 2016, 8(6): 789-804.
Sminchak, J. Geologic and hydrologic aspects of brine disposal intervals in the appalachian basingeologic and hydrologic aspects of brine disposal intervals in the appalachian basin. Environmental Geosciences, 2015, 22(4): 97-113.
Song, Y., Jun, S., Na, Y., et al. Geomechanical challenges during geological CO2 storage: A review. Chemical Engineering Journal, 2023, 456: 140968.
Teatini, P., Gambolati, G., Ferronato, M., et al. Land uplift due to subsurface fluid injection. Journal of Geodynamics, 2011, 51(1): 1-16.
Tran, D., Nghiem, L., Shrivastava, V., et al. Study of geomechanical effects in deep aquifer CO2 storage. Paper ARMA 10230 Presented at 44th US Rock Mechanics Symposium and 5th US-Canada Rock Mechanics Symposium, Salt Lake City, 27-30 June, 2010.
Tran, D., Settari, A., Nghiem, L. New iterative coupling between a reservoir simulator and a geomechanics module. SPE Journal, 2004, 9(3): 362-369.
Van Genuchten, M. T. A closed-form equation for predicting the hydraulic conductivity of unsaturated soils. Soil Science Society of America Journal, 1980, 44(5): 892-898.
van Wees, J.-D., Pluymaekers, M., Osinga, S., et al. 3-D mechanical analysis of complex reservoirs: A novel mesh-free approach. Geophysical Journal International, 2019, 219(2): 1118-1130.
Verdon, J. P., Kendall, J.-M., Stork, A. L., et al. Comparison of geomechanical deformation induced by megatonnescale CO2 storage at Sleipner, Weyburn, and in Salah. Proceedings of the National Academy of Sciences of the United States of America, 2013, 110(30): E2762-E2771.
Verdon, J. P., Stork, A. L. Carbon capture and storage, geomechanics and induced seismic activity. Journal of Rock Mechanics and Geotechnical Engineering, 2016, 8(6): 928-935.
Vidal-Gilbert, S., Tenthorey, E., Dewhurst, D., et al. Geomechanical analysis of the naylor field, Otway Basin, Australia: Implications for CO2 injection and storage. International Journal of Greenhouse Gas Control, 2010, 4(5): 827-839.
Wang, H. Theory of linear poroelasticity with applications to geomechanics and hydrogeology. New Jersey, USA, Princeton University Press, 2017.
Warpinski, N., Teufel, L. Determination of the effective-stress law for permeability and deformation in low-permeability rocks. SPE Formation Evaluation, 1992, 7(2): 123-131.
Zhang, L., Chen, L., Hu, R., et al. Subsurface multiphase reactive flow in geologic CO2 storage: Key impact factors and characterization approaches. Advances in Geo-Energy Research, 2022, 6(3): 179-180.
Zhang, L., Nowak, W., Oladyshkin, S., et al. Opportunities and challenges in CO2 geologic utilization and storage. Advances in Geo-Energy Research, 2023, 8(3): 141-145.
Zheng, W., Kim, J.-W., Ali, S. T., et al. Wastewater leakage in west texas revealed by satellite radar imagery and numerical modeling. Scientific Reports, 2019, 9(1): 14601.