Abstract
The interface shape of cementing displacement reflects the intermixing extent of two-phase fluids and decreasing the length of displacement interface will be helpful to improve the displacement effect and annular cementing quality. Due to the change of driving force caused by the density difference between slurry and drilling fluid with the position of fluid microelement on the displacing profiles in horizontal well, the local advance of displacing interface will happen even in a steady-state displacement. As a result, the length of displacing interface will be increasing gradually. In this paper, a calculation model that describes the interface shape of steady-state displacement has been derived through considering the change of driving force with annular circumferential angle and radius and using the two-dimension Hele-Shaw displacement model and perturbation theory. Besides, it analyzes the change of interface length with density difference in the horizontal well with eccentric casing, which provides an important basis for designing slurry and drilling fluid density and decreasing the length of displacement interface.
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