Abstract
Matrix acidization is an important technique used to enhance oil production at the tertiary recovery stage, but its numerical simulation has never been verified. From one of the earliest models, i.e., the two-scale model (Darcy framework), the Darcy–Brinkman–Forchheimer (DBF) framework is developed by adding the Brinkman term and Forchheimer term to the momentum conservation equation. However, in the momentum conservation equation of the DBF framework, porosity is placed outside of the time derivation term, which prevents a good description of the change in porosity. Thus, this work changes the expression so that the modified momentum conservation equation can satisfy Newton’s second law. This modified framework is called the improved DBF framework. Furthermore, based on the improved DBF framework, a thermal DBF framework is given by introducing an energy balance equation to the improved DBF framework. Both of these frameworks are verified by former works through numerical experiments and chemical experiments in labs. Parallelization to the complicated framework codes is also realized, and good scalability can be achieved.
Highlights
Acidization is a useful technique for promoting or restoring oil production in reservoirs and can be classified as either fracture acidization or matrix acidization
It can be seen in the figure that the molecular diffusion coefficient dm and the surface reaction rate ks are calculated first, followed by a series of computations in the improved DBF framework, and the computation of the temperature is performed last
Since Wu et al [19] contributed the DBF framework to the field of matrix acidization, improvements to the framework have been ongoing. This work is such as endeavor and tries to correct a defect in the momentum conservation equation of the DBF framework and maintain the momentum conservation equation when the porosity is changed
Summary
Acidization is a useful technique for promoting or restoring oil production in reservoirs and can be classified as either fracture acidization or matrix acidization. The temperature should be considered as a major factor in matrix acidization, which promotes the necessity and reasonability of introducing the energy conservation equation into these frameworks. They concluded that the fluid temperature could be designed as a parameter to control matrix acidization These endeavors attempted to consider the thermal effect on matrix acidization, all of them were based on the Darcy framework, which is not accurate enough to simulate matrix acidization, as mentioned above. As a result, their reliability was degraded. The performance of the 3D parallel code is evaluated at the end of this work
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