A model for annular displacements of wellbore completion fluids involving casing movement

Primary cementing of horizontal wells. Displacement flows in eccentric horizontal annuli. Part 1. Experiments

“…One direction would be to model the advective fluxes better, e.g. along the lines of Tardy & Bittleston (2016). Including some limited form of inertial nonlinearity within the Hele-Shaw approach, e.g.…”

“…Variants of the underlying model are becoming widespread (Aranha et al. 2012; Tardy & Bittleston 2016) as are apparently similar engineering software, developed in-house by many companies. This style of model has also become regularly used industrially for cementing case studies, job designs and post-job evaluations, e.g.…”

“…Firstly, movement of the casing is used to improve displacement, e.g. by rotation, and this has been addressed by Carrasco-Teja & Frigaard (2009), Carrasco-Teja & Frigaard (2010), Tardy & Bittleston (2016) and Tardy (2018). Three-dimensional simulations of annular displacement flows were first developed in the late 1990s but were too slow for practical usage (Szabo & Hassager 1997; Vefring et al.…”

“…This is not to say that models such as 2DGA cannot represent instabilities, e.g. (Tardy & Bittleston 2016).…”

A Review of Rheological Modeling of Cement Slurry in Oil Well Applications

“…Bao et al [288] used the Bingham and the power-law fluid models in porous media to study the flow between parallel plates with discrete fracture modeling (DFM) by applying the open-source MATLAB Reservoir Simulation Toolbox (MRST). Tardy and Bittleston [289,290] solved the flow in 2D and 3D axial-azimuthal-radial space and annular displacement of wellbore completion by considering Newtonian fluids with CAFFA and ANSYS FLUENT CFD software. Zhou et al [291] developed a new model to look at gas migration in non-Newtonian fluids with yield stress and the factors affecting the wellhead pressure change by the analysis of variance (ANOVA).…”