An emulsifying composition for an oil based drilling fluid includes oleyl alcohol and a mixture of polymeric amides. The polymeric amides can be 1,3-dihydroxypropan-2-yl (E)-12-hydroxyoctadec-9-enoate, (9E,9′E)-N,N′-(azanediylbis(ethane-2,1-diyl))bis(12-hydroxyoctadec-9-enamide, (E)-12-hydroxy-N,N-bis(2-((E)-12-hydroxyoctadec-9-enamido(ethyl)octadec-9-enamide, (Z)-4-(bis(2-((E)-12-hydroxyoctadec-9-enamido)ethy)amino)-4-oxobut-2-enoic acid, 1,3-dihydroxypropan-2-yl(Z)-4-(bis(2-((E)-12-hydroxyoctadec-9-enamido)ethy)amino)-4-oxobut-2-enoate, and N1,N1,N4,N4-tetrakis(2-((E)-12-hydroxyoctadec-9-enamido)ethyl)maleamide. The method of forming the emulsifying composition includes reacting a fatty oil with diethylenetriamine and then maleic acid, and adding oleyl alcohol. The high density emulsifying composition is stable at high temperatures of drilling operations at greater depths in the wellbore.