... of this paper. Some of the efforts found in the literature usesimplified approaches that do not properly simulate the unsteady-state nature of the problem. JPT P. 1140^ simulator temperature distribution heat-transfer film coefficient production logging coefficient cement slurry circulation period...

..., proppant transport, and fluid rheology. The equally important problem of fluid temperature distributions in the fracture has received little attention. Temperature considerations are especially important in modern fracturing operations where gelled fluids are used almost exclusively. These non-Newtonian...

... by incorporating energy conservation measures in a market where they were not considered necessary. JPT P. 971 1 6 1980 1 6 1980 1 6 1980 1 6 1980 1980. Society of Petroleum Engineers damper Efficiency Upstream Oil & Gas temperature distribution separation and treating test...

... 1 12 1977 1 12 1977 1 12 1977 1 12 1977 1977. Society of Petroleum Engineers thermal method Upstream Oil & Gas temperature distribution enhanced recovery injector field data steam-assisted gravity drainage heat loss SAGD overburden formation temperature...

... were used to measure the axial and radial temperature distributions. Several thermocouples were cemented into holes drilled in rocks of various sizes to measure the center tempera- ture of these rocks. Fluid temperatures were measured next to these "instrumented" rocks to obtain rock/fluid temperature...

...: aT 1 a ( aT) a ( aT) pC Tt = r or rk~tsr 3r + az khsv az . (5) Physical properties khsr, khsv, p, and Care all taken to be functions of position and, with the exception of the density, p, functions of temperature. The initial temperature distribution is either as- sumed to be only a function of z...

... hydraulic fracturing fracture face formation temperature Paraffin Precipitation fluid temperature wellbore cloud point fracture well 1 crude oil reservoir temperature distribution calculation Formation Permeability original permeability permeability paraffin damage Paraffin Precipitation...

... by the M-L equation. The temperature distribution in the hotwater bank is not given by the equations, but is approximated here by a straight line passing through the mid-point of the M-L heat front as shown on Fig. 5. It is emphasized that this temperature distribution is not quantitative, although it does...

... Production Platform We begin our formulation with the initial condition that the earth is frozen and its temperature distribution at the initial time t; is known.* As time goes on the radiant heat energy of the sun and warming up of the atmospheric air (see Fig. 1) heat the frozen earth until melting begins...

... (or above) the steam zone is taken as constant between the wellbore and the outer radius of the heated region (steam-zone radius). The initial temperature distribution is approximated from the heat loss (Appendix B). Later temperature dis- tributions are obtained by temperature decay from the jni~~a~nrnfik...

... taken as independent of tem- perature. From the solution of the energy balances on the fluid in the fracture and on the fractured formation itself, we obtain the following equation,* which de- scribes the temperature distribution of the fluid in the fracture. [ 2.37 l(KV~, XD) T T. =1 e (1 d)KV; 1 Ti...

... field test. For example, calculations will indicate the extent of the hot water bank to be expected in each case. This might be cor- related with temperature response of a producing well to determine if steam is channeling. The equations do not provide the temperature distribution in the hot water bank...

... drill pipe selection temperature distribution production control production logging circulation calculation formation temperature production monitoring drilling fluids and materials outlet temperature fluid temperature 000-ft well bottom-hole fluid temperature Reservoir Surveillance...

... of reservoir fluids. The temperature distribution predicted by Chu for a combustion wave has been used in analyzing a field test. Numerical solutions were obtained by simultaneous solution of the flow equation, the continuity equation and the equation of state. Although this analysis concentrated on isotropic...

... of the temperature distribution in the vicinity ofthe wellbore are discussed below. JPT P. 1007ˆ temperature distribution waterflooding stimulation completion enhanced recovery inhibitor thermal treatment Upstream Oil & Gas temperature level heater production rate wellbore thermal stimulation...

... The relationships involved in establishing the temperature profiles in an oil stream as it flows up well tubing with a linear (geothermal) pipe-wall temperature distribution or through surface flowlines with essentially constant pipe-wall temperature are presented in the Appendix. The relationship between radial...

... ~~ e>4- a: Z 0 l5 0 100 ~ z 80 (5 1 60 8 40~ o 4- 20 ~ ri &.I o 10 20 )0 ..0 RADIAL DISTANCE fftOM IH.II'CTION WELL.Ff Fig. I-Calculated temperature distribution and oil evaporation in sand after injection of 360 tons of gas-steam mixture. ily with the desirable gradient. It was then possible...