To obtain sustainable
economical oil production and recovery of
investment, some oil fields adopted the strategy of multilayer commingling
production at an early stage. This leads to interlayer interference
and losing part of the recoverable reserves. In this paper, dynamic
interference behaviors of arbitrary multilayer commingling production
in heavy oil reservoirs are analyzed. Based on the non-Darcy flow
equation, the Buckly–Leverett equation, and the material balance
equation, a mathematical model of arbitrary multilayer commingling
production is obtained. Oil and water relative permeability, saturation,
and bottom hole flow pressure microelement and the iteration method
are employed to solve the mathematical model in the time domain. The
new model is verified by comparing the results from the typical black
oil model using the Darcy law. The sensitivity analysis of critical
parameters on interference behaviors, such as permeability, oil viscosity,
effective drainage boundary, and voidage replacement ratio, is carried
out. The model obtained in this paper can be used for oil and liquid
productivity analysis during the overall process of commingling production
and extended to be applied in numerical experiments with different
combinations of typical parameters as well.