Possibilities of applying the extended Eyring rheological model in the technology of cement slurries used in oil drilling

Abstract

This study explores the feasibility of implementing an extended Eyring rheological model to describe the dependece between shear stress and shear rate in cement slurries used in drilling technologies. Advances in cement slurry technology have rendered traditional mathematical models, particularly the widely used linear Bingham model recommended by API RP 13D (American Petroleum Institute Recommended Practice 13D) standard, insufficient for accurately predicting flow resistance during pumping operations. Misalignment between the model and the actual behavior of cement slurries can result in significant errors, potentially increasing operational costs.  By identifying and applying the relevant rheological model, it is possible to optimize the system's performance, minimizing total pressure losses and thereby reducing overall drilling costs. This paper investigates the applicability of more sophisticated three-parameter rheological models, commonly utilized in other engineering disciplines, to address these challenges. Specifically, the extended Eyring model was adapted to the proprietary RheoSolution methodology developed by Department of Drilling, Oil, and Gas. To validate this approach, a series of laboratory tests were conducted on cement slurries widely used in the oil industry. The results were analyzed and compared against mathematical models recommended by the API standard. The findings confirm that the extended Eyring model offers superior accuracy in determining the rheological parameters of cement slurries for drilling applications, underscoring its potential as a robust tool for improving the efficiency of drilling operations.