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A numerical simulation model for vertical flow in geothermal wells



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Proceedings Eighth Workshop Geothermal Resiemoir Engineering Stanford Univeraity Stanford California December 1982 scp TB 60 A NUMERICAL SIMULATION MODEL FOR VERTICAL n0W IN GEOTHERMAL WELLS c Masaharu Tachimori Process Technology R D Laboratorie6 Nippon Steel Corporation Kitakyushyu City Japan 805 Abstract This paper presentsanumericalsimulation model f o r v e r t i c a l flow i n geothermal wells The model consists of equations f o r the conservation of mass momentum and energy for thermodynamic s t a t e of water f o r f r i c t i o n losses f o r s l i p velocity relations and of the c r i t e r i a f o r various flow regimes A new set of correlations and c r i t e r i a is presented f o r two phase flow t o improve the accuracy of predictions bubbly flow G r i f f i t h and Wallis correlation slug flow Nicklin e t a l one annular mist flow Inoue and Aoki and modified by the author The simulation method w a s verified by data from actual w e l l s model Figure 1 Water and steam phases are assumed to be i n local thermodynamic equilibrium The steady flow equations are given as follows Introduction n c Numericalsimulation offlow i n geothermal w e l l s a r e useful for evaluating downhole pressures temperatures enthalpies and steam q u a l i t i e s from those a t well heads for predicting producible steam and water flow r a t e s by production wells on the basis of data about the reservoir characteristics obtained from wildcat wells and f o r designing proper casing programs f o r wells Simulation methods for flow i n o i l wells have been applied t o flow i n geothermal wells with a heat transfer equation by several authors 11 3 However we found t h a t they are not accurate enough f o r two phase flow especially i n a w e l l with a small diameter of 3 o r 4 inches A nmber of correlations for two phase flow discussed i n existing literature have been examined and a s e t of correlations has been selected t o imprwe the accuracy of calculated values A new



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