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

摘要

We exploit an analogy between streamilines and seismic ray tracing to develop an effcient formalism for integrating dynamic data into high-resolution reservoir models. Utilizing concepts from asymptotic ray theory in seismic anddiffusive electromagnetic imaging, we generalize the streamline approach to compressible 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 inaging. The power and versatility of our approach is illustrated using synthetic examples from a heterogeneous carbonate reservoir demonstrates the practical feasibility of ourapproach.