Abstract: The present disclosure provides a technique for determining performance data for hydrocarbon reservoirs using data storage, an output device and one or more processors. A heterogeneous multi-dimensional model of at least a portion of the hydrocarbon reservoir divided into cells is obtained. Each cell has a volume and one or more other attributes. A diffusive time of flight is calculated based upon the heterogeneous multi-dimensional model. The heterogeneous multi-dimensional model is transformed to an equivalent homogeneous one-dimensional model by defining the diffusive time of flight as a spatial variable. The performance data for the hydrocarbon reservoir is determined based on the equivalent homogeneous one-dimensional model, and the performance data is provided to the output device.

Abstract: The present disclosure provides a technique for determining performance data for hydrocarbon reservoirs using data storage, an output device and one or more processors. A heterogeneous multi-dimensional model of at least a portion of the hydrocarbon reservoir divided into cells is obtained. Each cell has a volume and one or more other attributes. A diffusive time of flight is calculated based upon the heterogeneous multi-dimensional model. The heterogeneous multi-dimensional model is transformed to an equivalent homogeneous one-dimensional model by defining the diffusive time of flight as a spatial variable. The performance data for the hydrocarbon reservoir is determined based on the equivalent homogeneous one-dimensional model, and the performance data is provided to the output device.