DETERMINING CUMULATIVE WATER FLOW ON A GRID-BY-GRID BASIS IN A GEOCELLULAR EARTH MODEL

Four-dimensional fluid flow data is received that is associated with a time dimension and I, J, and K dimensions. The four-dimensional fluid flow data includes, for each of plural time steps, a fluid flow amount for the respective time step and for a respective I, J, K cell. Using the four-dimensional fluid flow data and for each of plural time steps, a four-dimensional geocellular model is determined having I, J, K and t dimensions and indicating, for each I, J, K, t cell, an amount of a fluid flowing through the I, J, K cell for a respective time step t. A three-dimensional time-independent model is determined for the I, J, K cell. A two-dimensional time-independent model is determined that includes a cumulative fluid flow amount for each I, J cell.