## 5 Conclusions
Conceptualization, M.A.-R. and M.A.-S.; methodology, M.A.-R. and M.A.-S.; validation, M.A.-R. and M.A.-S.; formal analysis, M.A.-R. and M.A.-S.; investigation, M.A.-R. and M.A.-S.; resources, M.A.-R. and M.A.-S.; data curation, M.A.-R. and M.A.-S.; writing--original draft preparation, M.A.-R. and M.A.-S.; writing--review and editing, M.A.-R. and M.A.-S.; visualization, M.A.-R. and M.A.-S.; supervision, D.A.-S.; project administration, D.A.-S. All authors have read and agreed to the published version of the manuscript. This research received no external funding. Not applicable. The data presented in this study are available on request from the corresponding author. The data are not publicly available due to the internal Law of Saudi Aramco \"On Export Control\". The College of Petroleum and Geosciences at King Fahd University of Petroleum and Minerals and the School of Earth Sciences and Engineering at Tomsk Polytechnic University are acknowledged for their support and permission to publish this work. The authors declare no conflict of interest. \begin{tabular}{l l} AV or V\({}_{\text{a}}\) & annular velocity, ft/min \\ V\({}_{\text{ann}}\) & annular velocity, ft/min \\ M\({}_{App}\) & apparent viscosity, cP \\ CCI & carrying capacity index \\ CCA & concentration of cuttings in the annulus \\ K & consistency factor, cP \\ d\({}_{\text{cm}}\) & cutting diameter, inch \\ V\({}_{\text{Cr}}\) & cutting rise velocity, ft/min \\ V\({}_{\text{sc}}\) & cutting slip velocity, ft/min \\ CTR & cutting transport ratio \\ R3 & dial reading at 3 revolutions per minutes, cP \\ R300 & dial reading at 300 revolutions per minutes, cP \\ R6 & dial reading at 6 revolutions per minutes, cP \\ R600 & dial reading at 600 revolutions per minutes, cP \\ V\({}_{s}\) & downward velocity, ft/min \\ CD & drag coefficient \\ MW\({}_{\text{eff}}\) & effective mud weight, pcf \\ \(\mu_{eff}\) & effective viscosity, cP \\ ECD & equivalent circulating density, pcf \\ ERD & extended reach drilling \\ n & flow behavior index \\ OH & hole diameter, inch \\ MCDs & mechanical hole cleaning devices \\ V\({}_{\text{ann-m}}\) & modified annular velocity, ft/min \\ \(k_{m}\) & modified consistency factor, cP \\ ECD\({}_{\text{m}}\) & modified equivalent circulating density, pcf \\ \(n_{m}\) & modified flow behavior index \\ LC\({}_{\text{m}}\) & modified original lifting capacity \\ PV\({}_{\text{m}}\) & modified plastic viscosity, cP \\ V\({}_{\text{scm}}\) & modified slip velocity of the cuttings, ft/min \\ YP\({}_{\text{m}}\) & modified yield point, cP \\ MW & mud weight, pcf \\ CTR\({}_{\text{m}}\) & novel model transport ratio, \% or fraction \\ \(\alpha\) & open hole angle, degrees \\ \(\beta\) & open hole azimuth, degrees \\ LC & original lifting capacity \\ OD & outer diameter of drill pipe, inch \\ pp or \(W_{c}\) & particle density or weigh of the cuttings, lb/cf \\ PV & plastic viscosity, cP \\ GPM & pump flow rate, Gal/min \\ ROP & rate of penetration, ft/hr \\ x & revolution per gallon ratio \\ RPM & revolution per minute, rev/min \\ Re & Reynolds number \\ RSS & rotary steerable system \\ V\({}_{\text{C}}\) & upward velocity of the cuttings, ft/mins \\ V\({}_{\text{s1}}\) and V\({}_{\text{s2}}\) & velocity based on effective viscosity, apparent viscosity, and the weight and diameter of cuttings, ft/min \\ V\({}_{\text{st}}\) & velocity based on the cutting in turbulent flow, ft/min \\ WOB & weight on bit, KIB \\ YP & yield point, cP \\ \end{tabular}   
Appendix A The Measured, Calculated, and Output Parameters for the Novel Model \(\text{CTR}_{\text{m}}\)