Some models for the magnetization of the drilling mud
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The problem that a magnetic drilling mud cause to the accuracy of the directional drilling technology is outlined. The purpose of the work is identified in the theoretical modelling of the magnetic response of the magnetic mud, a fluid that is contaminated with small amounts of magnetic materials. The theory of mixing magnetic materials is reviewed, practical results are derived in detail and discussed. The classic model of an ellipsoid, instrumental for the calculations, is presented in detail. Are then defined and developed the models for suspended particles under the combined effect of a magnetic field and Brownian motion; the predictions are compared to the available experimental data.
Master's thesis in Mathematics and physics