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

We exploit an analogy between streamlines and seismic ray tracing to develo p 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 approac h to compressible flow. A 'diffusive' streamline time-of-flight is introduc ed for transient pressure calculations. Production data integration is carr ied out in a manner analogous to seismic tomography and waveform imaging. T he power and versatility of our approach is illustrated using synthetic exa mples that utilize transient pressure, tracer and multiphase production his tory. A field example from a heterogeneous carbonate reservoir demonstrates the practical feasibility of our approach.