Avoiding Formulations with Delays to Simulate Cutting in Drilling Operations

Abstract

The aim of this paper is to discuss some modelling strategies to account for the cutting in drilling operations. Two modelling techniques to deal with a uniformly distributed (symmetric) blade configuration are compared, one employing a set of delays and another based on an advection partial differential equation. A geometrical interpretation for each of them is provided through a schematic illustration, and by means of a simplified application case. The case is also used to highlight some of the advantages of the advection approach. Finally, the advection formulation is extended to tackle the problem considering arbitrarily distributed blades.