During　drilling　or　oil　recovery,　it　is　common　that　the　formation　trap　gas　invades　the　vertical　wellbore/pipeline　to　cause　the　gas-liquid　two-phase　flow,　which　brings　challenges　and　dangers　to　wellbore/pipeline　pressure　control.　In　this　paper,　coupling　the　interfacial　mass　transfer　theory　of　slip-rising　bubbles　based　on　bubble　hydraulics　to　the　gas-liquid　two-phase　flow　theory,　a　new　transient　non-isothermal　gas-liquid　two-phase　flow　model　in　the　vertical　wellbore/pipeline　was　developed.　In　this　model,　the　effects　of　flow　regime　and　heat　transfer　on　the　mass　transfer　rate　were　considered.　The　proposed　model　was　validated　using　the　measured　experiment　data　and　field　data.　Using　this　model,　the　effect　of　interfacial　mass　transfer　of　slip-rising　bubbles　on　the　evolution　of　gas-liquid　two-phase　flow　in　a　special　gas　kick　scenario　was　analyzed.　The　simulation　results　indicated　that　the　mass　transfer　rate　between　oil　dispersion　and　invasion　gas　was　relatively　slow,　which　made　the　gas　not　instantaneously　dissolved　in　the　oil　dispersion　or　not　instantly　saturated　the　oil　dispersion.　Under　the　same　gas　invasion　rate,　the　fraction　and　mass　of　free　gas　calculated　by　this　model　were　always　larger　than　those　obtained　by　Yin＇s　model,　resulting　in　a　faster　of　the　bottomhole　pressure　reduction　rate　and　pit　gain　increase　rate.　Additionally,　increasing　the　gas　concentration　and　flow　rate　could　promote　the　interphase　mass　transfer　rate,　while　increasing　the　temperature　would　inhibit　it.　This　model　could　characterize　the　wellbore/pipeline　gas-liquid　two-phase　flow　with　interphase　mass　transfer　in　more　detail　and　accurately.　(C)　2020　Elsevier　Ltd.　All　rights　reserved.