A Sensitivity-Driven Inversion Framework for Efficient Calibration of 3D Geomechanical Models: Application to a Shale Reservoir
Research Article  ·  Published: 08 August 2026
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Reservoir Science
Volume 2, Issue 4, 2026: 305-323
Research Article Open Access

A Sensitivity-Driven Inversion Framework for Efficient Calibration of 3D Geomechanical Models: Application to a Shale Reservoir

1 National Energy Shale Oil Research and Development Center, Beijing 102206, China
2 SINOPEC Petroleum Exploration and Production Research Institute, Beijing 102206, China
3 Petroleum Engineering Technology Research Institute, Sinopec Jiangsu Oilfield Company, Yangzhou 225009, China
4 State Key Laboratory of Digital Intelligent Technology for Unmanned Coal Mining, Anhui University of Science and Technology, Huainan 232001, China
* Corresponding Author: Hao Wu, [email protected]
Volume 2, Issue 4

Article Information

Published in Reservoir Science
Pages 305-323

Abstract

Accurate in-situ stress characterization is essential for hydraulic fracturing design in shale reservoirs, yet 3D geomechanical model calibration still relies on iterative trial-and-error procedures that are computationally intensive and physically opaque. Sensitivity analysis, though widely used to evaluate the influence of elastic parameters, is typically treated as descriptive rather than predictive. This work proposes a sensitivity-driven inversion framework for efficient calibration of horizontal stresses in 3D geomechanical models. Controlled perturbation simulations on a baseline model quantify the responses of maximum and minimum horizontal stresses ($S_H$ and $S_h$) to variations in Young's modulus and Poisson's ratio across stratigraphic units. These responses form a sensitivity matrix establishing a first-order relationship between parameter perturbations and stress variations. A dual-objective inversion scheme then simultaneously constrains $S_H$ and $S_h$, enabling direct single-step parameter estimation and reducing reliance on iterative calibration. Application to a shale reservoir shows good agreement with reference stress profiles, with interval-averaged deviations reduced below 1%. Moreover, sensitivity relationships from a reference block serve as a first-order approximation for calibrating geologically similar neighboring blocks, demonstrating cross-block transfer potential. The framework offers an efficient, physically interpretable stress calibration approach and provides a practical alternative to conventional empirical methods.

Graphical Abstract

A Sensitivity-Driven Inversion Framework for Efficient Calibration of 3D Geomechanical Models: Application to a Shale Reservoir

Keywords

shale reservoir geomechanical modeling in-situ stress sensitivity analysis parameter inversion cross-block transfer

Data Availability Statement

Data will be made available on request.

Funding

This work was supported by the Sinopec Science and Technology Research Project under Grant P25129 and Grant P24219.

Conflicts of Interest

Hao Wu, Xinrui Lyu, and Xiaofei Shang are affiliated with the SINOPEC Petroleum Exploration and Production Research Institute, Beijing 102206, China; Xiaokai Huang is affiliated with the Petroleum Engineering Technology Research Institute, Sinopec Jiangsu Oilfield Company, Yangzhou 225009, China. The authors declare that these affiliations had no influence on the study design, data collection, analysis, interpretation, or the decision to publish, and that no other competing interests exist.

AI Use Statement

The authors declare that no generative AI was used in the preparation of this manuscript.

Ethical Approval and Consent to Participate

Not applicable.

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Cite This Article

APA Style
Wu, H., Lyu, X., Shang, X., Huang, X., & Chang, Y. (2026). A Sensitivity-Driven Inversion Framework for Efficient Calibration of 3D Geomechanical Models: Application to a Shale Reservoir. Reservoir Science, 2(3), 305-323. https://doi.org/10.62762/RS.2026.836628
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TY  - JOUR
AU  - Wu, Hao
AU  - Lyu, Xinrui
AU  - Shang, Xiaofei
AU  - Huang, Xiaokai
AU  - Chang, Yanhai
PY  - 2026
DA  - 2026/08/08
TI  - A Sensitivity-Driven Inversion Framework for Efficient Calibration of 3D Geomechanical Models: Application to a Shale Reservoir
JO  - Reservoir Science
T2  - Reservoir Science
JF  - Reservoir Science
VL  - 2
IS  - 4
SP  - 305
EP  - 323
DO  - 10.62762/RS.2026.836628
UR  - https://www.icck.org/article/abs/RS.2026.836628
KW  - shale reservoir
KW  - geomechanical modeling
KW  - in-situ stress
KW  - sensitivity analysis
KW  - parameter inversion
KW  - cross-block transfer
AB  - Accurate in-situ stress characterization is essential for hydraulic fracturing design in shale reservoirs, yet 3D geomechanical model calibration still relies on iterative trial-and-error procedures that are computationally intensive and physically opaque. Sensitivity analysis, though widely used to evaluate the influence of elastic parameters, is typically treated as descriptive rather than predictive. This work proposes a sensitivity-driven inversion framework for efficient calibration of horizontal stresses in 3D geomechanical models. Controlled perturbation simulations on a baseline model quantify the responses of maximum and minimum horizontal stresses ($S_H$ and $S_h$) to variations in Young's modulus and Poisson's ratio across stratigraphic units. These responses form a sensitivity matrix establishing a first-order relationship between parameter perturbations and stress variations. A dual-objective inversion scheme then simultaneously constrains $S_H$ and $S_h$, enabling direct single-step parameter estimation and reducing reliance on iterative calibration. Application to a shale reservoir shows good agreement with reference stress profiles, with interval-averaged deviations reduced below 1%. Moreover, sensitivity relationships from a reference block serve as a first-order approximation for calibrating geologically similar neighboring blocks, demonstrating cross-block transfer potential. The framework offers an efficient, physically interpretable stress calibration approach and provides a practical alternative to conventional empirical methods.
SN  - 3070-2356
PB  - Institute of Central Computation and Knowledge
LA  - English
ER  - 
BibTeX Format
Compatible with LaTeX, BibTeX, and other reference managers
@article{Wu2026A,
  author = {Hao Wu and Xinrui Lyu and Xiaofei Shang and Xiaokai Huang and Yanhai Chang},
  title = {A Sensitivity-Driven Inversion Framework for Efficient Calibration of 3D Geomechanical Models: Application to a Shale Reservoir},
  journal = {Reservoir Science},
  year = {2026},
  volume = {2},
  number = {4},
  pages = {305-323},
  doi = {10.62762/RS.2026.836628},
  url = {https://www.icck.org/article/abs/RS.2026.836628},
  abstract = {Accurate in-situ stress characterization is essential for hydraulic fracturing design in shale reservoirs, yet 3D geomechanical model calibration still relies on iterative trial-and-error procedures that are computationally intensive and physically opaque. Sensitivity analysis, though widely used to evaluate the influence of elastic parameters, is typically treated as descriptive rather than predictive. This work proposes a sensitivity-driven inversion framework for efficient calibration of horizontal stresses in 3D geomechanical models. Controlled perturbation simulations on a baseline model quantify the responses of maximum and minimum horizontal stresses (\$S\_H\$ and \$S\_h\$) to variations in Young's modulus and Poisson's ratio across stratigraphic units. These responses form a sensitivity matrix establishing a first-order relationship between parameter perturbations and stress variations. A dual-objective inversion scheme then simultaneously constrains \$S\_H\$ and \$S\_h\$, enabling direct single-step parameter estimation and reducing reliance on iterative calibration. Application to a shale reservoir shows good agreement with reference stress profiles, with interval-averaged deviations reduced below 1\%. Moreover, sensitivity relationships from a reference block serve as a first-order approximation for calibrating geologically similar neighboring blocks, demonstrating cross-block transfer potential. The framework offers an efficient, physically interpretable stress calibration approach and provides a practical alternative to conventional empirical methods.},
  keywords = {shale reservoir, geomechanical modeling, in-situ stress, sensitivity analysis, parameter inversion, cross-block transfer},
  issn = {3070-2356},
  publisher = {Institute of Central Computation and Knowledge}
}

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