“…Then numerous investigators were motivated to develop more accurate models. These models include those presented by McCray and Cole (1959), Schoeppel and Spare (1967), Capes and Nakamura (1973), Sharma and Crowe (1977), Ikoku et al (1980), Machado and Ikoku (1982), Mitchell (1983), Puon and Ameri (1984), Sharma and Chowdry (1984), Wolcott and Sharma (1986), Adewumi and Tian (1989), Supon and Adewumi (1991), Tian and Adewumi (1992), Guo et al (1994), Liu and Liu (2008), Samson et al (2012), Li et al (2013). Although the minimum required gas injection rates obtained from these models are more and more close to the field-applied minimum gas injection rate, currently there are few effective models to determine the exact minimum required gas injection rate of horizontal gas drilling, especially in a wide range of ROP (cuttings size).…”