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Journal of the Australian Society of Exploration Geophysicists
RESEARCH ARTICLE

Joint elastic and petrophysical inversion using prestack seismic and well log data

Zhiyong Li 1 3 Beibei Song 1 Jiashu Zhang 2 Guangmin Hu 1
+ Author Affiliations
- Author Affiliations

1 School of Communication and Information Engineering, University of Electronic Science and Technology of China, Chengdu, Sichuan 611731, China.

2 Sichuan Key Laboratory of Signal and Information Processing, Southwest Jiaotong University, Chengdu, Sichuan 610031, China.

3 Corresponding author. Email: 359081137@qq.com

Exploration Geophysics 47(4) 331-340 https://doi.org/10.1071/EG14074
Submitted: 23 July 2014  Accepted: 23 August 2015   Published: 17 September 2015

Abstract

Seismic inverse problems aim to infer the properties of subsurface geology, such as elastic and petrophysical properties. Existing seismic inversion methods for the joint estimation of these properties are mainly based either on Gassmann theory for prestack seismic data processed with stochastic optimisation techniques or on the Wyllie formula for poststack seismic data processed by deterministic optimisation techniques. The purpose of this study is to develop a strategy for the joint estimation of elastic and petrophysical properties from prestack seismic data based on Gassmann equations with deterministic optimisation techniques. Given poor-quality prestack seismic data, two regularisation parameters are introduced to control the trade-off between fidelity to the data and the smoothness of the solution. An appropriate linearised system of equations for the joint model update is derived from Newton’s method, which fits seismic data, the description of the rock physics medium and prior information, simultaneously. We show the preliminary results obtained with the proposed framework for synthetic and real data examples.

Key words: deterministic inversion, joint inversion, rock physics, stochastic inversion.


References

Aki, K., and Richards, P. G., 1980, Quantitative seismology: theory and methods: Freeman.

Asnaashari, A., Brossier, R., Garambois, S., Audebert, F., Thore, P., and Virieux, J., 2013, Regularized seismic full waveform inversion with prior model information: Geophysics, 78, R25–R36
Regularized seismic full waveform inversion with prior model information:Crossref | GoogleScholarGoogle Scholar |

Avseth, P., Mukerji, T., Jørstad, A., Mavko, G., and Veggeland, T., 2001, Seismic reservoir mapping from 3-D AVO in a North Sea turbidite system: Geophysics, 66, 1157–1176
Seismic reservoir mapping from 3-D AVO in a North Sea turbidite system:Crossref | GoogleScholarGoogle Scholar |

Bachrach, R., 2006, Joint estimation of porosity and saturation using stochastic rock-physics modeling: Geophysics, 71, O53–O63
Joint estimation of porosity and saturation using stochastic rock-physics modeling:Crossref | GoogleScholarGoogle Scholar |

Biot, M. A., 1962, Generalized theory of acoustic propagation in porous dissipative media: The Journal of the Acoustical Society of America, 34, 1254–1264
Generalized theory of acoustic propagation in porous dissipative media:Crossref | GoogleScholarGoogle Scholar |

Bosch, M., 2004, The optimization approach to lithological tomography: combining seismic data and petrophysics for porosity prediction: Geophysics, 69, 1272–1282
The optimization approach to lithological tomography: combining seismic data and petrophysics for porosity prediction:Crossref | GoogleScholarGoogle Scholar |

Bosch, M., Cara, L., Rodrigues, J., Navarro, A., and Díaz, M., 2007, A Monte Carlo approach to the joint estimation of reservoir and elastic parameters from seismic amplitudes: Geophysics, 72, O29–O39
A Monte Carlo approach to the joint estimation of reservoir and elastic parameters from seismic amplitudes:Crossref | GoogleScholarGoogle Scholar |

Bosch, M., Carvajal, C., Rodrigues, J., Torres, A., Aldana, M., and Sierra, J., 2009, Petrophysical seismic inversion conditioned to well-log data: methods and application to a gas reservoir: Geophysics, 74, O1–O15
Petrophysical seismic inversion conditioned to well-log data: methods and application to a gas reservoir:Crossref | GoogleScholarGoogle Scholar |

Bosch, M., Mukerji, T., and Gonzalez, E. F., 2010, Seismic inversion for reservoir properties combining statistical rock physics and geostatistics: a review: Geophysics, 75, 75A165–75A176
Seismic inversion for reservoir properties combining statistical rock physics and geostatistics: a review:Crossref | GoogleScholarGoogle Scholar |

Buland, A., Kolbjørnsen, O., Hauge, R., Skjæveland, Ø., and Duffaut, K., 2008, Bayesian lithology and fluid prediction from seismic prestack data: Geophysics, 73, C13–C21
Bayesian lithology and fluid prediction from seismic prestack data:Crossref | GoogleScholarGoogle Scholar |

Eidsvik, J., Avseth, P., Omre, H., Mukerji, T., and Mavko, G., 2004, Stochastic reservoir characterization using prestack seismic data: Geophysics, 69, 978–993
Stochastic reservoir characterization using prestack seismic data:Crossref | GoogleScholarGoogle Scholar |

Gassmann, F., 1951, Elastic waves through a packing of spheres: Geophysics, 16, 673–685
Elastic waves through a packing of spheres:Crossref | GoogleScholarGoogle Scholar |

González, E. F., Mukerji, T., and Mavko, G., 2008, Seismic inversion combining rock physics and multiple-point geostatistics: Geophysics, 73, R11–R21
Seismic inversion combining rock physics and multiple-point geostatistics:Crossref | GoogleScholarGoogle Scholar |

Grana, D., and Della Rossa, E., 2010, Probabilistic petrophysical-properties estimation integrating statistical rock physics with seismic inversion: Geophysics, 75, O21–O37
Probabilistic petrophysical-properties estimation integrating statistical rock physics with seismic inversion:Crossref | GoogleScholarGoogle Scholar |

Grana, D., Rossa, E. D., and D’Agosto, C., 2009, Petrophysical properties estimation in a crosswell study integrated with statistical rock physics: 2009 SEG Annual Meeting, 25–30 October, Houston, Texas, 1805–1809.

Grana, D., Mukerji, T., Dvorkin, J., and Mavko, G., 2012, Stochastic inversion of facies from seismic data based on sequential simulations and probability perturbation method: Geophysics, 77, M53–M72
Stochastic inversion of facies from seismic data based on sequential simulations and probability perturbation method:Crossref | GoogleScholarGoogle Scholar |

Gunning, J., and Glinsky, M. E., 2007, Detection of reservoir quality using Bayesian seismic inversion: Geophysics, 72, R37–R49
Detection of reservoir quality using Bayesian seismic inversion:Crossref | GoogleScholarGoogle Scholar |

Hill, R., 1952, The elastic behaviour of a crystalline aggregate: Proceedings of the Physical Society, Section A, 65, 349–354
The elastic behaviour of a crystalline aggregate:Crossref | GoogleScholarGoogle Scholar |

Kjønsberg, H., Hauge, R., Kolbjørnsen, O., and Buland, A., 2010, Bayesian Monte Carlo method for seismic predrill prospect assessment: Geophysics, 75, O9–O19
Bayesian Monte Carlo method for seismic predrill prospect assessment:Crossref | GoogleScholarGoogle Scholar |

Larsen, A. L., Ulvmoen, M., Omre, H., and Buland, A., 2006, Bayesian lithology/fluid prediction and simulation on the basis of a Markov-chain prior model: Geophysics, 71, R69–R78
Bayesian lithology/fluid prediction and simulation on the basis of a Markov-chain prior model:Crossref | GoogleScholarGoogle Scholar |

Mukerji, T., Jørstad, A., Avseth, P., Mavko, G., and Granli, J. R., 2001, Mapping lithofacies and pore-fluid probabilities in a North Sea reservoir: seismic inversions and statistical rock physics: Geophysics, 66, 988–1001
Mapping lithofacies and pore-fluid probabilities in a North Sea reservoir: seismic inversions and statistical rock physics:Crossref | GoogleScholarGoogle Scholar |

Ostrander, W., 1984, Plane-wave reflection coefficients for gas sands at nonnormal angles of incidence: Geophysics, 49, 1637–1648
Plane-wave reflection coefficients for gas sands at nonnormal angles of incidence:Crossref | GoogleScholarGoogle Scholar |

Reuss, A., 1929, Berechnung der Fließgrenze von Mischkristallen auf Grund der Plastizitätsbedingung für Einkristalle: Journal of Applied Mathematics and Mechanics, 9, 49–58
| 1:CAS:528:DyaA3cXit1Wrug%3D%3D&md5=d42d9835fff3a1bf448d7e16a136f6f2CAS |

Rimstad, K., and Omre, H., 2010, Impact of rock-physics depth trends and Markov random fields on hierarchical Bayesian lithology/fluid prediction: Geophysics, 75, R93–R108
Impact of rock-physics depth trends and Markov random fields on hierarchical Bayesian lithology/fluid prediction:Crossref | GoogleScholarGoogle Scholar |

Saltzer, R., Finn, C., and Burtz, O., 2005, Predicting VShale and porosity using cascaded seismic and rock physics inversion: The Leading Edge, 24, 732–736
Predicting VShale and porosity using cascaded seismic and rock physics inversion:Crossref | GoogleScholarGoogle Scholar |

Sauvageau, M., Gloaguen, E., Claprood, M., Lefebvre, R., and Bêche, M., 2014, Multimodal reservoir porosity simulation: an application to a tight oil reservoir: Journal of Applied Geophysics, 107, 71–79
Multimodal reservoir porosity simulation: an application to a tight oil reservoir:Crossref | GoogleScholarGoogle Scholar |

Ulvmoen, M., and Omre, H., 2010, Improved resolution in Bayesian lithology/fluid inversion from prestack seismic data and well observations: Part 1—Methodology: Geophysics, 75, R21–R35
Improved resolution in Bayesian lithology/fluid inversion from prestack seismic data and well observations: Part 1—Methodology:Crossref | GoogleScholarGoogle Scholar |