Abstract
Streamline methods have shown to be effective for reservoir
simulation. Streamline simulation relies on an efficient an accurate calculation of streamlines and time-of-flight
coordinates (TOF). Streamlines are commonly computed on a cell-by-cell basis using a flux interpolation in the semi-analytical Pollock's method.
An alternative method is a grid-cell corner-point
velocity interpolation, which is able to reproduce uniform flow in three spatial dimensions. For this method numerical integration of streamlines is required.
The shape of streamlines are affected by a change in
velocity direction over a cell, whereas TOF is sensitive to
variation in the absolute value of the velocity. Hence, an adaptive method should be used to control the error
in the numerical integration of the velocity.
In this work, we propose a method for adaptive step size selection for numerical integration of streamlines,
and compare it with existing methods.
simulation. Streamline simulation relies on an efficient an accurate calculation of streamlines and time-of-flight
coordinates (TOF). Streamlines are commonly computed on a cell-by-cell basis using a flux interpolation in the semi-analytical Pollock's method.
An alternative method is a grid-cell corner-point
velocity interpolation, which is able to reproduce uniform flow in three spatial dimensions. For this method numerical integration of streamlines is required.
The shape of streamlines are affected by a change in
velocity direction over a cell, whereas TOF is sensitive to
variation in the absolute value of the velocity. Hence, an adaptive method should be used to control the error
in the numerical integration of the velocity.
In this work, we propose a method for adaptive step size selection for numerical integration of streamlines,
and compare it with existing methods.