# A New Model for Cleaning Small Cuttings in Extended-Reach Drilling Based on Dimensional Analysis
###### Abstract  
A wellbore's cleanliness affects drilling efficiency, economy and drilling safety directly in extended-reach drilling operations. Wellbore cleaning in extended-reach drilling has always been a tough problem. Field experience has shown that inefficient transport of small cuttings is a main factor for excessive drag and torque during extended-reach drilling. However, very little is known about the transport of small cuttings. In this paper, we use the data fitting method of dimensional analysis and regression analysis to establish a wellbore cleaning model for high-inclination sections, then use water and Polyanionic Cellulose (PAC) as a drilling fluid to analyze the settlement cleaning of small cuttings in the wellbore. The data from the example wells were used for field simulations to finally derive many factors like drilling fluid density, drilling fluid displacement, drill pipe rotation speed, diameter of cuttings and annulus hydraulic diameter, which affect the thickness of the dimensionless cutting bed. The results show that the dimensionless cutting thickness decreases with increasing drilling fluid density, drilling fluid displacement and drill pipe rotation speed; and increases with increasing cutting size and annular hydraulics diameter. Meanwhile, the effect of drilling fluid discharge, drill pipe rotation speed and cutting size on the thickness of the dimensionless cutting bed decreases as their values increase. This model can be utilized to design parameters in drilling and to predict the transport of cuttings in high-inclination sections. The successful establishment of the wellbore cleaning model for small cuttings in high-inclination sections of extended-reach drilling wells is highly innovative, which is a successful combination of theory and practice and has important guiding significance for promoting the development of wellbore cleaning technology.  
borehole cleaning; extended reach drilling; small cuttings 20231050680(2020) [5] studied the movement of annular small cutting particles in a three-layer cutting transport model, i.e., pure fluid layer, mixed suspension layer, and small cutting bed layer. [PERSON] et al. (1993) [6], [PERSON] et al. (2014) [7], [PERSON] et al. (2017) [8] and [PERSON] et al. (2013) [9] investigated the various influencing factors on small cutting transport under different working conditions. [PERSON] et al. (2009) [10] and [PERSON] et al. (2017) [11] analyzed the law influencing small cutting particle transport by analyzing the forces on small cuttings and considering the interaction forces generated between small cutting particles. At present, the cleaning models established by scholars produce large errors when calculating the transport process of small-sized cuttings, and there are only a few cleaning models specifically for small-sized cuttings. Therefore, in this paper, the cleaning model is derived and established by using the method of dimensional analysis and regression analysis for the cleaning of small-sized cuttings generated during the drilling process of extended-reach drilling wells.