«Oilfield engineering»

A new solution to the old problem: description of the characteristic specific features of the viscous-elastic media rheological behavior

UDC: 622.276.1/.4.001
DOI: -

Authors:

¹ St. Petersburg Mining University, St. Petersburg, Russia

Keywords: viscousity-elasticity, strain curve, shear, stress, deformation lag, stress relaxation, maximum stress

Annotation:

By now, a lot of mechanistic rheological models have been developed, representing various combinations of Hooke’s, Newton’s and Saint-Venant’s bodies. However, these models describe the behavior of various media only in particular cases, which, according to experts’ opinion, is caused by the complex rheological behavior of various materials. The reason for this trend may be the fallacy of the existing approach, and therefore another method for describing the rheological behavior of viscous-elastic media has been proposed. The fundamental difference from other models is the simultaneous consideration of the stress and shear mutual influence, when stress affects shear, which in turn affects stress, etc. It is achieved by connecting many Maxwell and Kelvin elements in time, while the unknown ones are only four parameters. This model describes the main features of rheological behavior: stress relaxation, deformation lag, the influence of loading rate or shear rate on the deformation curve, hysteresis of the curve and presence of a stress maximum when the shear rate changes, etc. The model was tested during studying polymer solutions, high-viscuos oil and plastics. It has been revealed that, under certain conditions, damped viscous-elastic oscillations may appear, which can explain the resonance phenomena occurrence in various bodies. Additionally, the possibility of using the well-known Burgers equation in the equations of motion to determine rheological parameters is shown.

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