Developing an analytical rock-bit interaction model considering in-situ stresses and case study for one of Iranian oil fields

Document Type : Original Article

Authors

1 PhD student, Department of Petroleum Engineering,, Amir Kabir University of Technology, Tehran, Iran

2 Associate Professor, Department of Petroleum engineering

3 Department of Petroleum Engineering, Amirkabir University of Technology, Tehran, Iran

Abstract

Use of PDC bits in oil industry has been increased in recent years despite the fact that they are more expensive than roller cone bits. Therefore, developing a comprehensive rock-bit interaction model for this type of bits is too important. Previously, several mathematical models have been proposed for modeling rock-bit interaction. Most of these models (e.g. Nishimatsu’s model) do not consider the effects of in-situ stresses at all. Some other models assume that the values of rock failure angle at downhole and ambient conditions are equal. In fact, even though these models use in-situ stresses to calculate the cutting force, they do not consider in-situ stresses in analytical modeling. In this work, an analytical relation for rock failure angle including in-situ stresses is derived. Based on this relation, a novel analytical rock-bit interaction model to predict cutting force is presented. Applying field data on mentioned models results in improving rock failure angle and cutting force calculations for about 15-20%.

Keywords


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