A Stochastic Object Model Conditioned to High-Quality Seismic Data

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A Stochastic Object Model Conditioned to High-Quality Seismic Data Anne Randi Syversveen · Ragnar Hauge · Jan Inge Tollefsrud · Ulf Lægreid · Alister MacDonald

Received: 11 October 2010 / Accepted: 8 July 2011 / Published online: 8 October 2011 © The Author(s) 2011. This article is published with open access at Springerlink.com

Abstract We present an approach for modeling facies bodies in which a highly constrained stochastic object model is used to integrate detailed seismic interpretation of the reservoir’s sedimentological architecture directly in a three-dimensional reservoir model. The approach fills the gap between the use of seismic data in a true deterministic sense, in which the facies body top and base are resolved and mapped directly, and stochastic methods in which the relationship between seismic attributes and facies is defined by conditional probabilities. The lateral geometry of the facies bodies is controlled by seismic interpretations on horizon slices or by direct body extraction, whereas facies body thickness and cross-sectional shape are defined by a mixture of seismic data, well data, and user defined object shapes. The stochastic terms in the model are used to incorporate local geometric variability, which is used to increase the geological realism of the facies bodies and allow for correct, flexible well conditioning. The result is a set of three-dimensional facies bodies that are constrained to the seismic interpretations and well data. Each body is defined as a parametric object that includes information such as location of the body axis, depositional direction, axis-to-margin normals, and external body geometry. The parametric information is useful for defining geologically realistic intrabody petrophysical trends and for controlling connectivity between stacked facies bodies. A.R. Syversveen () · R. Hauge Norwegian Computing Center, P.O. Box 114, 0314 Blindern, Oslo, Norway e-mail: [email protected] J.I. Tollefsrud Statoil, 0246 Oslo, Norway U. Lægreid Bayerngas Norway AS, Lilleakerveien 8, 0283 Oslo, Norway A. MacDonald Roxar Software Solutions AS, Lysaker Torg 45, 1366 Lysaker, Norway

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Math Geosci (2011) 43:763–781

Keywords Facies modeling · Seismic data · Intrabody petrophysical trends

1 Introduction Conventional seismic interpretation involves interpretation of stratigraphic horizons and faults in vertical cross sections. With increasing quality and resolution, seismic data can also be used to interpret facies architecture in map view. The interpretation in map view is generally based on using horizon slices that are aligned parallel to geological time lines. Interpreted facies elements, including turbidite channels and a variety of bars and lobes, have been used very successfully for well targeting in many significant discoveries during the last decade or so, and have also been integrated in static three-dimensional models used for development planning and reservoir management. Integration of seismic interpretation in a three-dimensional reservoir grid is straightforward for thic