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Abstract

An accurate description of a reservoir is crucial to the management of production and efficiency of oil recovery. Reservoir modeling is an important step in a reservoir’s future performance, which is in direct proportion to reservoir management, risk analysis and making key economic decisions. Saturation and pressure changes, and porosity and permeability distributions are the most common parameters to estimate in the oil industry. In order to reduce the number of parameters in reservoir description, the different upscaling techniques have been used. At the rock physics level, the Gassmann and Hertz-Mindlin theories are applied in order to incorporate the fluid substitution and pressure changes, respectively. The most popular method at the elastic level is the Backus (1962) averaging. This method is based on the zero frequency limit of seismic wave field in a vertically heterogeneous structure. We extend the Backus averaging for the low-frequency regime by using the Baker-Campbell-Hausdorff series (Serre, 1965). That allows us to compute the frequency dependent effective medium parameters. These parameters can be used in seismic modeling and inversion with band-limited seismic wavelet.

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/content/papers/10.3997/2214-4609.20143252
2012-09-10
2024-03-29
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