Development of an efficient model to calculate subsidence above the Groningen gas field

  • Marius C. Wouters Tectonophysics Group, Department of Earth Sciences, Faculty of Geosciences, Utrecht University, Utrecht, The Netherlands
  • Rob Govers Tectonophysics Group, Department of Earth Sciences, Faculty of Geosciences, Utrecht University, Utrecht, The Netherlands
  • Ramon F. Hanssen Department of Geoscience and Remote Sensing, Delft University of Technology, Delft, The Netherlands
Keywords: subsidence, reservoir compaction, elastic layering, Groningen, The Netherlands

Abstract

In order to constrain different drivers of subsidence in the Groningen gas field region, the integration of geomechanical simulations into a data assimilation procedure is crucial. Existing geomechanical models vary in complexity depending on their implementation of the available input data of the subsurface geometry and properties and reservoir pressure. High-complexity models are associated with many parameters to be estimated and tend to be computationally expensive, hindering their practical use in data assimilation. We develop a mechanical model that is optimised in terms of model complexity for the context of simulating surface deformation above the Groningen gas field. The reservoir discretisation and vertical elastic layering are simplified such that model details that are unlikely to be generating surface signals resolvable in geodetic data are eliminated. We demonstrate that the optimised model is ~100 times more numerically efficient than complete models. We also determine the sensitivity of subsidence to the lateral compaction resolution and the elastic layering of our efficient model, to constrain the model resolution in future data assimilation applications for Groningen.

References


Bierman, S.M., Kraaijeveld, F. & Bourne, S.J., 2015. Regularised direct inversion to compaction in the Groningen reservoir using measurements from optical leveling campaigns. Shell Global Solutions International B.V. https://nam-feitenencijfers.data-app.nl/download/rapport/cc5ea278-c093-457b-b930-1869a3c26c21?open=true.




Bodemdalingskaart 2.0, 2020. Bodemdalingskaart.nl.




Brouwer, W.S. & Hanssen, R.F., 2023. A treatise on InSAR geometry and 3-D displacement estimation. IEEE Transactions on Geoscience and Remote Sensing 61: 1–11. DOI: 10.1109/TGRS.2023.3322595.




Candela, T., Chitu, A.G., Peters, E., Pluymaekers, M., Hegen, D., Koster, K. & Fokker, P.A., 2022. Subsidence induced by gas extraction: a data assimilation framework to constrain the driving rock compaction process at depth. Frontiers in Earth Science 10: 1–18. DOI: 10.3389/feart.2022.713273.




Carlson, G., Shirzaei, M., Ojha, C. & Werth, S., 2020. Subsidence-derived volumetric strain models for mapping extensional fissures and constraining rock mechanical properties in the San Joaquin Valley, California. Journal of Geophysical Research: Solid Earth 125(9): 1–16. DOI: 10.1029/2020JB019980.




Conroy, P., Van Diepen, S.A.N., Van Asselen, S., Erkens, G., Van Leijen, F.J. & Hanssen, R.F., 2022. Probabilistic Estimation of InSAR Displacement Phase Guided by Contextual Information and Artificial Intelligence. IEEE Transactions on Geoscience and Remote Sensing 60: 1–11. DOI: 10.1109/TGRS.2022.3203872.




Conroy, P., Van Diepen, S.A.N., Van Leijen, F.J. & Hanssen, R.F., 2023. Bridging Loss-of-Lock in InSAR Time Series of Distributed Scatterers. IEEE Transactions on Geoscience and Remote Sensing 61: 1–11. DOI: 10.1109/TGRS.2023.3329967.




De Jager, J. & Visser, C., 2017. Geology of the Groningen field – an overview. Geologie En Mijnbouw/Netherlands Journal of Geosciences 96(5): s3–s15. DOI: 10.1017/njg.2017.22.




De Waal, J.A., 1986. On the rate type compaction behaviour of sandstone reservoir rock (Delft University of Technology). Delft University of Technology. https://repository.tudelft.nl/islandora/object/uuid%3Ab805782b-2eb4-4f72-98f4-f727c4ea9df0.




De Waal, J.A., Muntendam-Bos, A.G. & Roest, J.P.A., 2015. Production induced subsidence and seismicity in the Groningen gas field-can it be managed? Proceedings of the International Association of Hydrological Sciences 372: 129–139. DOI: 10.5194/piahs-372-129-2015.




De Waal, J.A. & Schouten, M.W., 2020. Regulating subsidence and its uncertainty in the Dutch Wadden Sea. Proceedings of the International Association of Hydrological Sciences 382: 63–70. DOI: 10.5194/piahs-382-63-2020.




De Zeeuw, Q. & Geurtsen, L., 2018. Groningen dynamic model update 2018 – V6. NAM. https://nam-onderzoeksrapporten.data-app.nl/reports/download/groningen/en/b8a36d79-118e-4c2b-8380-ea338c9aafc8.




Dheenathayalan, P., 2019. Optimizing the exploitation of persistent scatterers in satellite radar interferometry. Delft University of Technology. DOI: 10.4233/uuid:aa1ef96f-4da9-41ff-bff8-30186ef2a541.




Du, J., Brissenden, S.J., McGillivray, P., Bourne, S., Hofstra, P., Davis, E.J., Roadarmel, W.H., Wolhart, S.L., Marsic, S., Gusek, R.W. & Wright, C.A., 2005. Mapping reservoir volume changes during cyclic steam stimulation using tiltmeter-based surface-deformation measurements. SPE International Thermal Operations and Heavy Oil Symposium. (Calgary, Alberta): 1–12. DOI: 10.2118/97848-PA.




Dusseault, M.B. & Rothenburg, L., 2002. Analysis of deformation measurements for reservoir management. Oil & Gas Science and Technology 57(5): 539–554. DOI: 10.2516/ogst:2002036.




Erkens, G., Stafleu, J. & Van den Akker, J., 2017. Bodemdalingvoorspellingskaarten van Nederland, versie 2017. Deltares rapport klimaateffectatlas (Utrecht).




Ferretti, A., Prati, C. & Rocca, F., 2001. Permanent scatterers in SAR interferometry. IEEE Transactions on Geoscience and Remote Sensing 39(1): 8–20. DOI: 10.1109/36.898661.




Fokker, P.A. & Orlic, B., 2006. Semi-analytic modelling of subsidence. Mathematical Geology 38(5): 565–589. DOI: 10.1007/s11004-006-9034-z.




Fokker, P.A., Van Leijen, F.J., Orlic, B., Van der Marel, H. & Hanssen, R.F., 2018. Subsidence in the Dutch Wadden Sea. Geologie En Mijnbouw/Netherlands Journal of Geosciences 97(3): 129–181. DOI: 10.1017/njg.2018.9.




Fokker, P.A. & Van Thienen-Visser, K., 2016. Inversion of double-difference measurements from optical levelling for the Groningen gas field. International Journal of Applied Earth Observation and Geoinformation 49: 1–9. DOI: 10.1016/j.jag.2016.01.004.




Fokker, P.A., Wassing, B.B.T., Van Leijen, F.J., Hanssen, R.F. & Nieuwland, D.A., 2016. Application of an ensemble smoother with multiple data assimilation to the Bergermeer gas field, using PS-InSAR. Geomechanics for Energy and the Environment 5: 16–28. DOI: 10.1016/j.gete.2015.11.003.




Fouladi Moghaddam, N., Nourollah, H., Vasco, D.W., Samsonov, S.V. & Rüdiger, C., 2021. Interferometric SAR modelling of near surface data to improve geological model in the Surat Basin, Australia. Journal of Applied Geophysics 194: 1–17. DOI: 10.1016/j.jappgeo.2021.104444.




Geertsma, J., 1973. Land subsidence above compacting oil and gas reservoirs. Journal of Petroleum Technology 25: 734–744. DOI: 10.2118/3730-PA.




Geertsma, J. & Van Opstal, G., 1973. A numerical technique for predicting subsidence above compacting reservoirs, based on the nucleus of strain concept. Verhandelingen van Het Koninklijk Nederlands Geologisch Mijnbouwkundig Genootschap 28: 63–78.




Geurts, C.P.W., Pluymaekers, M.P.D., Rots, J.G., Korswagen, P.A. & TU Delft, 2023. Response to the review comments: summarizing report on the additional studies into the direct effects of deep subsidence. TNO. https://www.schadedoormijnbouw.nl/media/5vcfs4g3/20231113-tno-onderzoek-diepe-bodemdaling-r12185.pdf.




Geurtsen, L. & De Zeeuw, Q., 2017. Monitoring reservoir pressure in the Groningen gasfield. NAM. https://nam-feitenencijfers.data-app.nl/download/rapport/7e818de8-387a-4ab9-a3f4-21c8211e3d5b?open=true.




Guises, R., Embry, J. & Barton, C., 2015. Dynamic geomechanical modelling to assess and minimize the risk for fault slip during reservoir depletion of the Groningen field. Baker RDS. https://nam-onderzoeksrapporten.data-app.nl/reports/download/groningen/en/d32ec1fd-1d59-4f6c-a462-93e2515e9fd9.




Hanssen, R.F., 2001. Radar interferometry: data interpretation and error analysis. Springer.




Hanssen, R.F., Wouters, M.C., Amootaghi, A., Asopa, U., Bruna, M., Janssen, C., Kim, S.S.R., Vossepoel, F.C., Stouthamer, E. & Govers, R., 2020. Monitoring and modeling land subsidence due to hydrocarbon production integrating geodesy and geophysics. AGU Fall Meeting Abstracts. AGU (Washington, DC). https://agu.confex.com/agu/fm20/meetingapp.cgi/Paper/754443.




Hettema, M.H.H., Jaarsma, B., Schroot, B.M. & Van Yperen, G.C.N., 2017. An empirical relationship for the seismic activity rate of the Groningen gas field. Geologie En Mijnbouw/Netherlands Journal of Geosciences 96(5): s149–s161. DOI: 10.1017/njg.2017.18.




Hettema, M.H.H., Papamichos, E. & Schutjens, P., 2002. Subsidence delay: field observations and analysis. Oil and Gas Science and Technology 57(5): 443–458. DOI: 10.2516/ogst:2002029.




Hol, S., Mossop, A.P., van der Linden, A.J., Zuiderwijk, P.M.M. & Makurat, A.H., 2015. Long-term compaction behavior of Permian sandstones – an investigation into the mechanisms of subsidence in the Dutch Wadden Sea. 49th US Rock Mechanics/Geomechanics Symposium. American Rock Mechanics Association (San Fransisco, California): 1–8.




Johnson, A., Charlton, M., Treyer, L. & Ratajc, G., 2022. Pyclipper – Cython wrapper for the C++ translation of the Angus Johnson’s Clipper library (C. Lupo, ed.). ver. 1.3.0. https://pypi.org/project/pyclipper.




Ketelaar, V.B.H., 2009. Satellite Radar interferometry – subsidence monitoring techniques (F. D. Van der Meer, ed.). Springer (Dordrecht): Vol. 14. DOI: 10.1007/978-1-4020-9428-6.




Kim, S.S.R. & Vossepoel, F.C., 2023. On spatially correlated observations in importance sampling methods for subsidence estimation. Computational Geosciences 28: 91–106. DOI: 10.1007/s10596-023-10264-9.




Kumagai, H., Maeda, Y., Ichihara, M., Kame, N. & Kusakabe, T., 2014. Seismic moment and volume change of a spherical source. Earth, Planets and Space 66(1): 1–10. DOI: 10.1186/1880-5981-66-7.




Landman, A.J. & Visser, C., 2023. Groningen Dynamic Model Update 2023 – V7. NAM. https://nam-onderzoeksrapporten.data-app.nl/reports/download/groningen/en/b77a608e-a83c-4857-a75b-1da910bdc4b.




Lele, S.P., Hsu, S., Garzon, J.L., DeDontney, N., Searles, K.H., Gist, G.A., Sanz, P.F., Biediger, E.A.O. & Dale, B.A., 2016. Geomechanical modeling to evaluate production-induced seismicity at Groningen field. Abu Dhabi International Petroleum Exhibition and Conference (Abu Dhabi): 1–18. DOI: 10.2118/183554-ms.




Marketos, G., Govers, R. & Spiers, C.J., 2015. Ground motions induced by a producing hydrocarbon reservoir that is overlain by a viscoelastic rocksalt layer: a numerical model. Geophysical Journal International 203: 228–242. DOI: 10.1093/gji/ggv294.




Marketos, G., Spiers, C.J. & Govers, R., 2016. Impact of rock salt creep law choice on subsidence calculations for hydrocarbon reservoirs overlain by evaporite caprocks. Journal of Geophysical Research: Solid Earth 121: 4249–4267. DOI: 10.1002/2016JB012892.




McTigue, D.F., 1987. Elastic stress and deformation near a finite spherical magma body: resolution of the point source paradox. Journal of Geophysical Research 92(B12): 12931–12940. DOI: 10.1029/jb092ib12p12931.




Mehrabian, A. & Abousleiman, Y.N., 2015. Geertsma’s subsidence solution extended to layered stratigraphy. Journal of Petroleum Science and Engineering 130: 68–76. DOI: 10.1016/j.petrol.2015.03.007.




Mogi, K., 1958. Relations between the eruptions of various volcanoes and the deformations of the ground surfaces around them. Bulletin of the Earthquake Research Institute 36: 99–134.




Mossop, A., 2012. An explanation for anomalous time dependent subsidence. 46th U.S. Rock Mechanics/Geomechanics Symposium. https://onepetro.org/ARMAUSRMS/proceedings-abstract/ARMA12/All-ARMA12/ARMA-2012-518/120766.




NAM, 2013. Technical addendum to the Winningsplan Groningen 2013 subsidence, induced earthquakes and seismic hazard analysis in the Groningen Field. https://www.sodm.nl/documenten/publicaties/2015/06/23/18.-technical-addendum-to-the-winningsplan-groningen-2013-subsidence-induced-earthquakes-and-seismic-hazard-analysis-in-the-groningen-field-nam-november-2013.




NAM, 2015. Meetregister Noord Nederland 2014. https://www.nlog.nl/sites/default/files/meetregisternoordnederland2014.pdf.




NAM, 2020a. Bodemdaling door aardgaswinning in Groningen, Friesland en het noorden van Drenthe. https://nam-feitenencijfers.data-app.nl/download/rapport/aca1b62a-12c5-4918-9ec9-0f0b17aebe56?open=true.




NAM, 2020b. Groningen long term subsidence forecast. https://nam-onderzoeksrapporten.data-app.nl/reports/download/groningen/en/d8970d78-f51a-4a3b-85d4-f80f42d055af.




NAM, 2020c. Petrel geological model of the Groningen gas field, the Netherlands. Open access through EPOS-NL. Yoda data publication platform. Utrecht University. DOI: 10.24416/UU01-1QH0MW.




NAM, 2021. Reservoir pressure and subsidence groningen field update for production profile GTS – raming 2021. https://nam-onderzoeksrapporten.data-app.nl/reports/download/groningen/en/354157f5-5f0b-4fe1-a95a-7da3d2858686.




NAM, 2022. Rapportage Seismiciteit Groningen – November 2022. https://www.rijksoverheid.nl/documenten/rapporten/2022/11/30/nam-rapportage-seismiciteit-groningen-november-2022.




Parliamentary Committee of Inquiry into Natural Gas Extraction in Groningen, 2023. Conclusions and recommendations. In Groningers before Gas. Tweede Kamer der Staten-Generaal. https://www.tweedekamer.nl/Groningen/rapport/boek1_Engelstalig.




Paullo Muñoz, L.F. & Roehl, D., 2017. An analytical solution for displacements due to reservoir compaction under arbitrary pressure changes. Applied Mathematical Modelling 52: 145–159. DOI: 10.1016/j.apm.2017.06.023.




Pijnenburg, R.P.J., Verberne, B.A., Hangx, S.J.T. & Spiers, C.J., 2019. Inelastic deformation of the slochteren sandstone: stress-strain relations and implications for induced seismicity in the Groningen Gas Field. Journal of Geophysical Research: Solid Earth 124: 5254–5282. DOI: 10.1029/2019JB017366.




Pijpers, F. & Van der Laan, D.J., 2016. Trend changes in ground subsidence in Groningen. Statistics Netherlands. https://www.cbs.nl/-/media/_pdf/2016/24/subsidence_may2016.pdf.




Pruiksma, J.P., Breunese, J.N., Van Thienen-Visser, K. & De Waal, J.A., 2015. Isotach formulation of the rate type compaction model for sandstone. International Journal of Rock Mechanics and Mining Sciences 78: 127–132. DOI: 10.1016/j.ijrmms.2015.06.002.




Qin, Y., Salzer, J., Maljaars, H. & Leezenberg, P.B., 2019. High resolution InSAR in the Groningen area. SkyGeo. https://nam-onderzoeksrapporten.data-app.nl/reports/download/groningen/en/26e6a722-b7c2-4fc1-a877-38066df51f14.




Romijn, R., 2017. Groningen Velocity Model 2017 – Groningen full elastic velocity model. NAM. https://nam-feitenencijfers.data-app.nl/download/rapport/9a5751d9-2ff5-4b6a-9c25-e37e76976bc1?open=true.




Schoonbeek, J.B., 1976. Land subsidence as a result of gas extraction in Groningen, the Netherlands. Proceedings of the Second International Symposium on Land Subsidence. International Association of Hydrological Sciences: 267–284. https://www.landsubsidence-unesco.org/wp-content/uploads/2019/03/Proceedings_Anaheim.pdf.




Segall, P., 2010. Earthquake and volcano deformation. Princeton University Press (Princeton, New Jersey) DOI: 10.5860/choice.48-0287.




Shewchuk, J.R., 1996. Triangle: engineering a 2D quality mesh generator and delaunay triangulator. In Applied computational geometry: towards geometric engineering. Series: Lecture Notes in Computer Science. 203–222 pp. https://people.eecs.berkeley.edu/~jrs/papers/triangle.pdf.




Smith, J.D., Avouac, J.P., White, R.S., Copley, A., Gualandi, A. & Bourne, S., 2019. Reconciling the long-term relationship between reservoir pore pressure depletion and compaction in the groningen region. Journal of Geophysical Research: Solid Earth 124(6): 6165–6178. DOI: 10.1029/2018JB016801.




Spiers, C.J., Schutjens, P.M.T.M., Brzesowsky, R.H., Peach, C.J., Liezenberg, J.L. & Zwart, H.J., 1990. Experimental determination of constitutive parameters governing creep of rocksalt by pressure solution. In: R.J. Knipe & E.H. Rutter (eds.): Deformation mechanisms, rheology and tectonics. Geological Society Special Publication (London). Vol. 54, pp. 215–227. DOI: 10.1144/GSL.SP.1990.054.01.21.




Tempone, P., Fjær, E. & Landrø, M., 2010. Improved solution of displacements due to a compacting reservoir over a rigid basement. Applied Mathematical Modelling 34(11): 3352–3362. DOI: 10.1016/j.apm.2010.02.025.




Van der Marel, H., 2020. Comparison of GNSS processing methodologies for subsidence monitoring: NAM GNSS alternative processing method project. Delft University of Technology. http://resolver.tudelft.nl/uuid:d7a427a2-9db4-4468-9a83-5bc18e64bf47.




Van Eijs, R.M.H.E. & Van der Wal, O., 2017. Field-wide reservoir compressibility estimation through inversion of subsidence data above the Groningen gas field. Geologie En Mijnbouw/Netherlands Journal of Geosciences 96(5): s117–s129. DOI: 10.1017/njg.2017.30.




Van Leijen, F.J., Samiei-Esfahany, S., Van der Marel, H. & Hanssen, R.F., 2020. Improving the functional and stochastic model of InSAR. Delft University of Technology. https://nam-onderzoeksrapporten.data-app.nl/reports/download/groningen/en/a040d54f-da6a-4a9d-aef6-1f1fedde4627.




Van Oeveren, H., Valvatne, P., Geurtsen, L. & Van Elk, J., 2017. History match of the Groningen field dynamic reservoir model to subsidence data and conventional subsurface data. Geologie En Mijnbouw/Netherlands Journal of Geosciences 96(5): s47–s56. DOI: 10.1017/njg.2017.26.




Van Opstal, G.H.C., 1974. The effect of base-rock rigidity on subsidence due to reservoir compaction. 3rd Congress of the International Society of Rock Mechanics (Denver, Colorado): 1102–1111.




Van Thienen-Visser, K. & Fokker, P.A., 2017. The future of subsidence modelling: compaction and subsidence due to gas depletion of the Groningen gas field in the Netherlands. Geologie En Mijnbouw/Netherlands Journal of Geosciences 96(5): s105–s116. DOI: 10.1017/njg.2017.10.




Van Thienen-Visser, K., Nepveu, M., Van Kempen, B., Kortekaas, M., Hettelaar, J., Peters, L., Van Gessel, S. & Breunese, J., 2014. Recent developments of the Groningen field in 2014 and, specifically, the southwest periphery of the field. https://www.nlog.nl/sites/default/files/finaltnoreportekl.pdf.




Van Wees, J.D., Fokker, P.A., Van Thienen-Visser, K., Wassing, B.B.T., Osinga, S., Orlic, B., Ghouri, S.A., Buijze, L. & Pluymaekers, M., 2017. Geomechanical models for induced seismicity in the Netherlands: inferences from simplified analytical, finite element and rupture model approaches. Geologie En Mijnbouw/Netherlands Journal of Geosciences 96(5): s183–s202. DOI: 10.1017/njg.2017.38.




Vasco, D.W., Harness, P., Pride, S. & Hoversten, M., 2017. Estimating fluid-induced stress change from observed deformation. Geophysical Journal International 208: 1623–1642. DOI: 10.1093/gji/ggw472.




Vasco, D.W., Johnson, L.R. & Goldstein, N.E., 1988. Using surface displacement and strain observations to determine deformation at depth, with an application to Long Valley Caldera, California. Journal of Geophysical Research 93(B4): 3232–3242. DOI: 10.1029/JB093iB04p03232.




Vatti, B.R., 1992. A generic solution to polygon clipping. Communications of the ACM 35(7): 56–63. DOI: 10.1145/129902.129906.




Visser, C.A. & Solano Viota, J.L., 2017. Introduction to the Groningen static reservoir model. Geologie en Mijnbouw/Netherlands Journal of Geosciences 96(5): s39–s46. DOI: 10.1017/njg.2017.25.




Visvalingam, M. & Whyatt, J.D., 1993. Line generalisation by repeated elimination of points. The Cartographic Journal 30(1): 46–51. DOI: 10.1179/000870493786962263.




Wang, R., Lorenzo-Martín, F. & Roth, F., 2006. PSGRN/PSCMP – a new code for calculating co- and post-seismic deformation, geoid and gravity changes based on the viscoelastic-gravitational dislocation theory. Computers and Geosciences 32: 527–541. DOI: 10.1016/j.cageo.2005.08.006.




Wessel, P., Luis, J.F., Uieda, L., Scharroo, R., Wobbe, F., Smith, W.H.F. & Tian, D., 2019. The Generic Mapping Tools Version 6. Geochemistry, Geophysics, Geosystems 20: 5556–5564. DOI: 10.1029/2019GC008515.




Wildenborg, T., Peters, L., Moghadam, A., Fokker, P., Geel, K., Nelskamp, S., Bottero, S., Wiersma, A. & Marsman, A., 2022. KEM-19 – evaluation of post-abandonment fluid migration and ground motion risks in subsurface exploitation operations in the Netherlands. TNO and Deltares. https://kemprogramma.nl/file/download/5d5758ed-189e-4cc3-b7dc-8185627c99ac/kem-19-d1-literature-review_deliverable-d1_v2022.pdf.
Published
2025-02-28
How to Cite
Wouters , M. C., Govers , R., & Hanssen , R. F. (2025). Development of an efficient model to calculate subsidence above the Groningen gas field. Netherlands Journal of Geosciences, 104. https://doi.org/10.70712/njg.v104.12151
Section
Regular paper