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The rheology of a packer fluid (PF) is the most crucial aspect prompting the efficacious well completion effectiveness. In the drilling industry, a high-density, solid-free, low viscosity, and alkaline pH packer fluid is a big advancement and requirement. Here, we develop a magnesium bromide as an effective solid-free, high-density packer fluid (HDPF) for oilfield applications. We believe that investigating the rheological parameters such as shear stress, yield point, plastic and apparent viscosity, and gel strength 10 s and 10 min at a varying temperature of 84–192 °F is essential for optimizing the rheological performance. In order to enhance the completion efficiency, our work is more focused on overcoming the rheological and density limitations of existing traditional packer fluid. Our results show that the packer fluid has a low value of plastic viscosity (1.95–7.05 cP) and also exhibits a high density of 13.41 lb/gal, a specific gravity of 1.61. We have reported the pH at the alkaline region (pH 7.14) with solid-free. Here, we have investigated the Bingham plastic rheological model and Herschel Bulkley model parameters with experimental rheological data, and it is adaptive to novel packer fluid to predict the rheological parameters. Conspicuously, the rheological models, along with data analysis, have enormous possibilities in envisaging real-time quantification of shear stress and viscosity to enable the user to monitor and evaluate a suitable packer fluid in oilfield applications.

This paper is concerned with the problem of stability of linear and nonlinear interconnected systems having white noise parameter variations. It is shown that the stochastic version of the Liapunov's second method may be successfully utilized in order to develop an aggregation and decomposition theory for the concerned systems. This, in turn, permits derivation of relatively simple decentralised criteria for the stability of the composite systems

The paper presents a method for generating a scalar Liapunov function for the multimachine power system by employing a simple aggregation technique. It is shown that the proposed technique allows decomposition of an N machine system into N-1 subsystems for which simple Popov type stability conditions are estabilshed. The results are illustrated by considering a 3 machine system. It is shown that the criteria developed in the paper yields much larger regions of stability.