Streamlines, ray tracing and production tomography: generalization to compressible flow

We exploit an analogy between streamlines and seismic ray tracing to develop an efficient formalism for integrating dynamic data into high-resolution reservoir models. Utilizing concepts from asymptotic ray theory in seismic and diffusive electromagnetic imaging, we generalize the streamline approach to com- pressible flow. A 'diffusive' streamline time-of-flight is introduced for transient pressure calculations. Production data integration is carried out in a manner analogous to seismic tomography and waveform imaging. The power and versatility of our approach is illustrated using synthetic examples that utilize transient pressure, tracer and multiphase production history. A field example from a heterogeneous carbonate reservoir demonstrates the practical feasibility of our approach.

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