Stocktake Sale on now: wide range of books at up to 70% off!
Register      Login
Australian Energy Producers Journal Australian Energy Producers Journal Society
Journal of Australian Energy Producers
RESEARCH ARTICLE

Reservoir pressure monitoring via surface deformation inversion: integrating numerical modelling with evolutionary optimisation

Reza Abdollahi A * , Abbas Movassagh B , Dane Kasperczyk B and Manouchehr Haghighi A
+ Author Affiliations
- Author Affiliations

A School of Chemical Engineering, Faculty of Engineering, Computer and Mathematical Sciences, The University of Adelaide, Adelaide, SA, Australia.

B CSIRO Energy, Melbourne, Vic, Australia.




Reza Abdollahi is a PhD student at the University of Adelaide, specialising in the geomechanics of underground storage sites and oil and gas reservoirs. His research primarily explores using deformation data as an indirect method to estimate the intensity of reservoir activities. By analysing surface deformation patterns, he aims to develop predictive models that enhance the monitoring and management of reservoir dynamics, ensuring operational safety and optimising resource extraction.



Abbas Movassagh is a Research Scientist at the CSIRO Energy Business Unit. His expertise lies in geomechanics and environmental and uncertainty analysis, including wellbore and underground reservoir integrity. He earned his PhD from the University of Adelaide and has over 15 years of experience in reservoir engineering and geomechanics.



Dane Kasperczyk is the Subsurface Technologies Team Leader in the CSIRO Energy Resources Group. His focus areas include subsurface monitoring for energy storage, rock pre- and post-conditioning and the application of digital tools for impact analysis. He holds degrees in civil engineering and climate science from the University of Melbourne.



Manouchehr Haghighi is an Associate Professor of Petroleum Engineering at the University of Adelaide. His research and teaching focus on unconventional reservoirs, reservoir simulation, geomechanics, well testing and formation evaluation.

* Correspondence to: r.abdollahi@adelaide.edu.au

Australian Energy Producers Journal 65, EP24037 https://doi.org/10.1071/EP24037
Submitted: 19 December 2024  Accepted: 28 February 2025  Published: 22 May 2025

© 2025 The Author(s) (or their employer(s)). Published by CSIRO Publishing on behalf of Australian Energy Producers.

Abstract

Reservoir pressure distribution is crucial for optimising extraction, ensuring safety, enhancing recovery and mitigating environmental impacts. However, acquiring detailed distribution of pore pressure data presents challenges. Methods for directly measuring pressure, such as well-tests and bottom-hole gauges, are expensive and offer limited spatial coverage. A practical alternative involves deducing pore pressure from surface displacement observations. This technique utilises a geomechanical forward model to compute deformation based on pore pressure and employs an optimisation algorithm to address the inversion problem’s inherently ill-posed characteristics. While deformation estimation through forward models is well understood, the application of surface displacement data for mapping reservoir pressure remains underexplored. Previous research has applied various approaches – including analytical, semi-analytical and numerical models – in combination with optimisation algorithms. Analytical and semi-analytical techniques often oversimplify reservoir complexities, while advanced numerical methods may require substantial computational resources. Furthermore, these techniques often depend on prior data, which are not always readily available. This research overcomes these limitations by combining advanced numerical modelling with evolutionary algorithms to estimate pressure distribution from tiltmeter data, eliminating the need for pre-existing information. The forward model incorporates a discrete Green matrix, derived by integrating finite element simulations with scripting tools. This matrix captures the interplay between reservoir properties and geometry with the resulting displacement field, enabling efficient deformation analysis under various pressure distributions. By precomputing the Green’s matrix, computational demands are significantly reduced, enhancing the optimisation process. Testing on synthetic data demonstrated the method’s accuracy with a reasonable error.

Keywords: artificial bee colony, discrete Green matrix, evolutionary optimisation, finite element model, genetic algorithm, geomechanics, particle swarm optimisation, reservoir pressure monitoring, surface deformation inversion.

Biographies

EP24037_B1.png

Reza Abdollahi is a PhD student at the University of Adelaide, specialising in the geomechanics of underground storage sites and oil and gas reservoirs. His research primarily explores using deformation data as an indirect method to estimate the intensity of reservoir activities. By analysing surface deformation patterns, he aims to develop predictive models that enhance the monitoring and management of reservoir dynamics, ensuring operational safety and optimising resource extraction.

EP24037_B2.png

Abbas Movassagh is a Research Scientist at the CSIRO Energy Business Unit. His expertise lies in geomechanics and environmental and uncertainty analysis, including wellbore and underground reservoir integrity. He earned his PhD from the University of Adelaide and has over 15 years of experience in reservoir engineering and geomechanics.

EP24037_B3.png

Dane Kasperczyk is the Subsurface Technologies Team Leader in the CSIRO Energy Resources Group. His focus areas include subsurface monitoring for energy storage, rock pre- and post-conditioning and the application of digital tools for impact analysis. He holds degrees in civil engineering and climate science from the University of Melbourne.

EP24037_B4.png

Manouchehr Haghighi is an Associate Professor of Petroleum Engineering at the University of Adelaide. His research and teaching focus on unconventional reservoirs, reservoir simulation, geomechanics, well testing and formation evaluation.

References

Abdollahi R, Esfandyari H, Nadri Pari M, Davarpanah A (2021a) Conventional diverting techniques and novel fibr-assisted self-diverting system in carbonate reservoir acidizing with successful case studies. Petroleum Research 6(3), 247-256.
| Crossref | Google Scholar |

Abdollahi R, Nadri M, Gholghanddashti H, Safari M, Zare Reisabadi M (2021b) A stepwise approach for identification of water production mechanisms in gas reservoirs. Energy Sources, Part A: Recovery, Utilization and Environmental Effects 47, 6432-6448.
| Crossref | Google Scholar |

Abdollahi R, Movassagh A, Kasperczyk D, Haghighi M (2024a) Estimating Pressure and Fronts in Underground Storage Through Tilt Data Inverse Modelling. Paper presented at the 58th U.S. Rock Mechanics/Geomechanics Symposium, Golden, Colorado, USA, June 2024. Paper no. ARMA-2024-1159. 10.56952/ARMA-2024-1159

Abdollahi R, Movassagh A, Kasperczyk D, Haghighi M (2024b) Surface deformation Inversion: Probing Pressure Dynamics and Fronts in Underground Storage. Paper presented at the APOGCE 2024, Perth, Australia, October 2024. Paper no. SPE-221210-MS. 10.2118/221210-MS

Abdollahi R, Hosseinzadeh S, Movassagh A, Kasperczyk D, Haghighi M (2024c) Imaging Pressure Distribution in Geological Reservoirs from Surface Deformation Data. Sustainability 16(17), 7710.
| Crossref | Google Scholar |

Altmann JB, Müller BIR, Müller TM, Heidbach O, Tingay MRP, Weißhardt A (2014) Pore pressure stress coupling in 3D and consequences for reservoir stress states and fault reactivation. Geothermics 52, 195-205.
| Crossref | Google Scholar |

Chen Z, Jeffrey RG, Pan Z (2023) An inversion for asymmetric hydraulic fracture growth and fracture opening distribution from tilt measurements. International Journal of Rock Mechanics and Mining Sciences 170, 105539.
| Crossref | Google Scholar |

Chugh T, Sindhya K, Hakanen J, Miettinen K (2019) A survey on handling computationally expensive multiobjective optimization problems with evolutionary algorithms. Soft Computing 23(9), 3137-3166.
| Crossref | Google Scholar |

Du J, Olson JE (2001) A poroelastic reservoir model for predicting subsidence and mapping subsurface pressure fronts. Journal of Petroleum Science and Engineering 30(3–4), 181-197.
| Crossref | Google Scholar |

Eaton BA (1972) The Effect of Overburden Stress on Geopressure Prediction from Well Logs. Journal of Petroleum Technology 24(8), 929-934.
| Crossref | Google Scholar |

Eladj S, Doghmane MZ, Lounissi TK, Djeddi M, Tee KF, Djezzar S (2022) 3D Geomechanical Model Construction for Wellbore Stability Analysis in Algerian Southeastern Petroleum Field. Energies 15(20), 7455.
| Crossref | Google Scholar |

Fillippone WR (1982) Estimation of formation parameters and the prediction of overpressures from seismic data. SEG Technical Program Expanded Abstracts: 502–503. 10.1190/1.1827121

Fjaer E, Holt RM, Horsrud P, Raaen AM, Risnes R (1992) Petroleum related rock mechanics. Petroleum Related Rock Mechanics 9, 352.
| Crossref | Google Scholar |

Furtney JK, Thielsen C, Fu W, Le Goc R (2022) Surrogate Models in Rock and Soil Mechanics: Integrating Numerical Modeling and Machine Learning. Rock Mechanics and Rock Engineering 55(5), 2845-2859.
| Crossref | Google Scholar |

Geertsma J (1966) Problems of rock mechanics in petroleum production engineering. In ‘Proceedings of the 1st International Society of Rock Mechanics Congress’, Lisbon, Portugal, 25 September 1966.

Geertsma J (1973) Land Subsidence Above Compacting Oil and Gas Reservoirs. JPT, Journal of Petroleum Technology 25, 734-744.
| Crossref | Google Scholar |

Haghighat E, Raissi M, Moure A, Gomez H, Juanes R (2021) A physics-informed deep learning framework for inversion and surrogate modeling in solid mechanics. Computer Methods in Applied Mechanics and Engineering 379, 113741.
| Crossref | Google Scholar |

Han G, Liu Y, Nawnit K, Zhou Y (2018) Discussion on seepage governing equations for low permeability reservoirs with a threshold pressure gradient. Advances in Geo-Energy Research 2(3), 245-259.
| Crossref | Google Scholar |

He X, Xie S, Gu L, Liu F, Zhang M, Lu H (2022) High-resolution quasi-distributed temperature and pressure sensing system for deep-sea reservoir monitoring. Measurement: Journal of the International Measurement Confederation 199, 111568.
| Crossref | Google Scholar |

Hosseinzadeh S, Abdollahi R, Salimzadeh S, Haghighi M (2024) Three-Dimensional Coupled Temporal Geomechanical Model for Fault-Reactivation and Surface-Deformation Evaluation during Reservoir Depletion and CO2 Sequestration, Securing Long-Term Reservoir Sustainability. Sustainability 16(19), 8482.
| Crossref | Google Scholar |

Hu C, Wang F, Ai C (2021) Calculation of Average Reservoir Pore Pressure Based on Surface Displacement Using Image-To-Image Convolutional Neural Network Model. Frontiers in Earth Science 9, 712681.
| Crossref | Google Scholar |

Hu C, Zhao W, Wang F, Ai C, Wang T (2022) A new Siamese CNN model for calculating average reservoir pressure through surface vertical deformation. Geomechanics and Geophysics for Geo-Energy and Geo-Resources 8(6), 189.
| Crossref | Google Scholar |

Jeanne P, Zhang Y, Rutqvist J (2020) Influence of hysteretic stress path behavior on seal integrity during gas storage operation in a depleted reservoir. Journal of Rock Mechanics and Geotechnical Engineering 12(4), 886-899.
| Crossref | Google Scholar |

Lee HP, Staniewicz S, Chen J, Hennings P, Olson JE (2023) Subsurface deformation monitoring with InSAR and elastic inversion modeling in west Texas. Geoenergy Science and Engineering 231, 212299.
| Crossref | Google Scholar |

Liu B, Koziel S, Zhang Q (2016) A multi-fidelity surrogate-model-assisted evolutionary algorithm for computationally expensive optimization problems. Journal of Computational Science 12, 28-37.
| Crossref | Google Scholar |

Lubarda VA, Lubarda MV (2020) On the Kelvin, Boussinesq, and Mindlin problems. Acta Mechanica 231(1), 155-178.
| Crossref | Google Scholar |

Meckel TA, Zeidouni M, Hovorka SD, Hosseini SA (2013) Assessing sensitivity to well leakage from three years of continuous reservoir pressure monitoring during CO2 injection at Cranfield, MS, USA. International Journal of Greenhouse Gas Control 18, 439-448.
| Crossref | Google Scholar |

Mindlin RD (1936) Force at a point in the interior of a semi-infinite solid. Journal of Applied Physics 7(5), 195-202.
| Crossref | Google Scholar |

Mindlin RD, Cheng DH (1950) Nuclei of strain in the semi-infinite solid. Journal of Applied Physics 21(9), 926-930.
| Crossref | Google Scholar |

Okada Y (1992) Internal deformation due to shear and tensile faults in a half-space. Bulletin of the Seismological Society of America 82(2), 1018-1040.
| Crossref | Google Scholar |

Roozshenas AA, Hematpur H, Abdollahi R, Esfandyari H (2021) Water Production Problem in Gas Reservoirs: Concepts, Challenges, and Practical Solutions. Mathematical Problems in Engineering 2021, 9075560.
| Crossref | Google Scholar |

Saadatnia N, Sharghi Y, Moghadasi J, Ezati M (2024) Coupled hydro-mechanical simulation in the carbonate reservoir of a giant oil field in southwest Iran. Journal of Petroleum Exploration and Production Technology 14(1), 59-83.
| Crossref | Google Scholar |

Safari-Beidokhti M, Hashemi A, Abdollahi R, Hematpur H, Esfandyari H (2021) Numerical Well Test Analysis of Condensate Dropout Effects in Dual-Permeability Model of Naturally Fractured Gas Condensate Reservoirs: Case Studies in the South of Iran. Mathematical Problems in Engineering 2021, 9916914.
| Crossref | Google Scholar |

Salimzadeh S, Kasperczyk D, Chen Z, Movassagh A, Arjomand E, Mow WS, Kear J (2022) Early Detection of Fault Activation Using Surface Tilt Monitoring During a CO2 Injection Project. Paper presented at the 56th U.S. Rock Mechanics/Geomechanics Symposium, Santa Fe, New Mexico, USA, June 2022. Paper no. ARMA-2022-0301. 10.56952/ARMA-2022-0301

Salimzadeh S, Kasperczyk D, Kadeethum T (2023) A surrogate model for predicting ground surface deformation gradient induced by pressurized fractures. Advances in Water Resources 181, 104556.
| Crossref | Google Scholar |

Salimzadeh S, Kasperczyk D, Kadeethum T (2024) Bayesian inversion of tilt data using a machine-learned surrogate model for pressurised fractures. Australian Energy Producers Journal 64(2), S280-S283.
| Crossref | Google Scholar |

Segall P (1992) Induced stresses due to fluid extraction from axisymmetric reservoirs. Pure and Applied Geophysics 139(3–4), 535-560.
| Crossref | Google Scholar |

Tipper JC (1976) The Study of Geological Objects in Three Dimensions by the Computerized Reconstruction of Serial Sections. The Journal of Geology 84(4), 476-484.
| Crossref | Google Scholar |

Wang N, Chang H, Zhang D (2023) Inverse Modeling for Subsurface Flow Based on Deep Learning Surrogates and Active Learning Strategies. Water Resources Research 59(7), e2022WR033644.
| Crossref | Google Scholar |

Xu XQ, Zhou H-B (2019) Study on the Influence of Pulse Current Cathodic Protection Parameters of Oil Well Casing. Advances in Materials Science and Engineering 2019, 2847345.
| Crossref | Google Scholar |

Yang H, Liao Q (2023) Well Testing Analysis Method and Practice for Low Permeability Gas Reservoirs. Frontiers in Computing and Intelligent Systems 4(3), 105-108.
| Crossref | Google Scholar |

Zhang J, Wu L, Shi W, Zhang C, Song J, Wang Y (2023) Well testing analysis method for non-uniform fracture conductivity of multi-layer tight oil and gas reservoirs in multi-layer fracturing well. China Petroleum Exploration 28(5), 145.
| Crossref | Google Scholar |