Model of Well Interference During Waterflooding of a Layered Heterogeneous Oil Reservoir within the Framework of the CRM Modeling Concept

The main types of CRM models (Capacitance Resistive Model) are considered. The advantage of CRM models over other types of models is the exclusion from consideration of reservoir pressure, information about which is usually unsystematic, scattered, and often unreliable. Particular attention in the work is paid to ML-CRM models that describe flow in layered formations. According to the literature, three models are described that are closest to the proposed one in this paper.
The author’s model of interaction between wells during waterflooding of an oil reservoir with double permeability (layered heterogeneous reservoir) is proposed within the framework of the CRM modeling concept. Differences of the proposed model from models of other authors: 1) the model takes into account possible flows between layers due to vertical filtration across the bedding; 2) the model takes into account the two-phase nature of filtration during waterflooding, thanks to the use of a differential equation for the conservation of water volume in reservoir conditions, this approach is the most accurate and physically justified; 3) differential equations of the model are solved using numerical methods; 4) a system consisting of two layers with different filtration and capacitance properties is considered.
The proposed model was tested on model and actual data. In the model example, when comparing various development indicators calculated using the CRM model and using a hydrodynamic simulator, the coefficient of determination is at least 0.9. This is a good result and indicates a high level of coincidence of the curves. In the actual example, when comparing those calculated using the CRM model and actual development indicators, the coefficient of determination is at least 0.7. This is also a good result for the actual data and indicates a high level of agreement between the calculated and actual curves.

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