2012 · 17 citations · 10 references
EngineeringRecovery OptimizationNetwork AnalysisReservoir EngineeringData ScienceSystems EngineeringFault Network RealizationReservoir CharacterizationHydrogeologyEarthquake EngineeringFractured Reservoir EngineeringFault Network RealizationsReservoir SimulationEngineering GeologyReservoir ModelingIntegrated Optimization WorkflowFault GeometrySeismologyCivil EngineeringGeomechanicsFormation EvaluationReservoir ManagementSeismic HazardPetroleum Engineering
Abstract An integrated optimization workflow was developed to characterize seismic and sub-seismic fault networks from history-matching. A fractal model of fault networks is optimized via the gradual deformation of stochastic realizations of fault density maps, fault spatial and length distributions. In order to facilitate the history-matching, connectivity analysis tools were developed for characterizing wells-reservoir and well-to-well connectivity. Indeed these connectivity properties usually depend on the fault network realization and may be strongly correlated with the reservoir flow dynamics. Connectivity analyses were performed on a fractured reservoir model involving a five-spot well configuration with four injectors and one producer. The connectivity was estimated from shortest path algorithms applied on a graph representation of the reservoir model. Several reservoir simulations were performed for different fault network realizations to seek correlations between injector-producer connectivity and water breakthrough time. The impact of the fracture properties uncertainties on the wells-reservoir connectivity was estimated via the cumulated connected volume computed for each well. This connectivity measure provides a mean to characterize and classify fault network realizations. Correlations were found between the water breakthrough time and the injector-producer connectivity, thus allowing one to identify the most probable fault network realizations to match the observed water breakthrough time. Finally, for a given fault network realization, it is shown how the oil recovery can be optimized by correlating injectors rates with the injector-producer connectivity. A gain of 3.106 m3 in produced oil was obtained, while retarding the water breakthrough time by 16 years, compared with a case where all injectors have the same rate. The proposed methodology and tools facilitate the history-matching of fractured reservoir, providing consistent reservoir models that can be used for production forecast and optimization.
10
A note on two problems in connexion with graphs
E. Dijkstra · Numerische Mathematik · 1959 · 23.5K citations