Optimizing Drilling Reagent Concentrations Based on Gums through Mathematical Modeling Methods

The article focuses on mathematical modeling when using biopolymer reagents based on gums, produced by various manufactures through enzymatic methods. These manufactures include the domestic brand KK (Russia), Kem-X (USA), and Rodopol-23R (France). The use of these reagents in drilling muds imparts pseudoplastic properties, which are crucial for the successful drilling of multi-meter horizontal intervals and the effective penetration of productive formations in various fields across Russia, particularly in the Volga-Ural region. Equations of dynamic shear stress (DSS) and effective viscosity (EV) were obtained depending on the concentration of the studied gums (biopolymer reagents) and shear rate. These equations represent functions of two variables, visualized as surfaces in three-dimensional space. The two axes correspond to the independent variables (concentration and shear rates), while the third axis represents the value of the function (DSS, EV). Analysis of the obtained data and dependencies from experimental results revealed that an increase in shear rate leads to an increase in dynamic shear stress for water-based muds utilizing KK gum, while it decreases for muds using Kem-X and Rodopol-23R reagents. At the same time, the effective viscosity of muds using the KK reagent decreases with increasing shear rate, whereas muds with Kem-X and Rodopol-23R reagents display the opposite trend. Comparative analysis of the regression equations for the main parameters of drilling muds using these reagents made it possible to assess the effectiveness of various gums (biopolymer reagents), both domestic and foreign production. It has been shown that the domestic biopolymer reagent based on KK gum not only matches the performance of its foreign counterparts (Kem-X and Rodopol-23R), but also surpasses them in terms of exhibiting pseudoplastic properties in drilling mud compositions.