SPE Journal
Volume 10, Number 3, September 2005, pp. 312-323

SPE-81503-PA

History Matching of Object-Based Stochastic Reservoir Models

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DOI  More information 10.2118/81503-PA http://dx.doi.org/10.2118/81503-PA

Citation

  • Hu, L.Y. and Jenni, S. 2005. History Matching of Object-Based Stochastic Reservoir Models. SPE  J.10 (3): 312-323. SPE-81503-PA.

Discipline Categories

  • 6.1.5 Geologic Modeling
  • 6.3.1 Flow in Porous Media
  • 6.7.4 Probabilistic Methods

Summary

This paper first reviews the basic concepts of the widely used object-based Boolean model for modeling heterogeneous reservoirs. Then, we present a methodology for calibrating Boolean simulations to dynamic production data. This methodology is based on a generalization of the gradual deformation method that was initially developed for calibrating pixel-based Gaussian-related reservoir models to dynamic data. Finally, two examples are presented and the results show the validity of the previously mentioned methodology. In particular, this methodology is potentially applicable to history matching of faulted and fractured reservoir models.

Introduction

In the last 2 decades, different stochastic models have been developed for describing reservoir heterogeneities of different depositional environments and at different scales. These models can be classified in three types: pixel-based models (e.g., Gaussian-related stochastic models), object-based models (e.g., Boolean models), and process-based models. Pixel-based models are relatively easy to be constrained by quantitative data, but they are often unable to describe complex geological features, particularly at the field-appraisal stage with few well data. On the contrary, process-based models can reproduce complex geological features, but they are highly difficult to constrain by quantitative data. In the case in which geological objects can be clearly identified (fractures, faults, channels, and vacuoles), object-based models can be a good compromise between pixel-based and process-based models. There are many examples of geological modeling of fluvial-deltaic reservoirs using the object-based approach.1–6 This approach is also used for representing fault and fracture networks.7,8 Fig. 1 shows an object-based model of fracture swarms and subseismic faults in a reservoir field.

Constraining object-based reservoir models to dynamic production data is of great importance for their application in reservoir engineering. During the last decade, the research on this problem has been oriented to parameterizing individually each object and then calibrating these parameters (together with all the other parameters) to production data.9–11 This approach cannot be easily extended to field-scale models with multiple geological objects because of the large number of parameters and the difficulty for preserving the model consistency when changing these parameters.

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History

  • Original manuscript received: 16 September 2003
  • Revised manuscript received: 30 May 2005
  • Manuscript approved: 1 June 2005
  • Version of record: 15 September 2005