Development of a New Model for Saturation Calculation in Streamline Simulation
- Hossein Nourozieh (University of Calgary) | Mohammad Kariznovi (University of Calgary) | Jalal Abedi (University of Calgary) | Mohammad Jamialahmadi (Petroleum University of Technology) | Abbas Shahrabadi (Research Institute of Petroleum Industry)
- Document ID
- Society of Petroleum Engineers
- SPE Reservoir Evaluation & Engineering
- Publication Date
- October 2009
- Document Type
- Journal Paper
- 737 - 744
- 2009. Society of Petroleum Engineers
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- 667 since 2007
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Streamline simulation has been developed as an alternative to conventional simulation. This method is based on the decoupling of the pressure equation from the saturation equation and the transformation of the 3D equation to 1D equations; therefore, it introduces an acceleration factor in respect to conventional simulation.
Tracing the streamlines in the reservoir is a main step in streamline simulation. As a streamline is traced, it passes through many gridblocks; and the numerical approach to the 1D saturation equation requires picking up the saturation in each gridblock when a streamline traced. In this way, saturation vs. time-of-flight information is recorded for each streamline traced from injector to producer. This information is defined on an irregular time-of-flight space.
Past efforts to move the saturation forward was based on transforming the irregular time-of-flight space onto a regular space. Transforming onto a regular 1D grid results in the averaging of saturations and represents one source of numerical diffusion in the streamline method.
In this paper, we present a new method to move the saturation forward based on irregular time-of- flight space and compare the results with the common methods. The result of saturation with this method is more accurate, and the averaging of saturations and numerical diffusion are decreased.
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