Thermal Hydraulics of Wellbores and Surface Lines During Steam/Hot Water Injection—Part I: Theoretical Model

Jensen, Trond B.; Sharma, Manorma

doi:10.1115/1.3231405

Cited by 9 publications

(4 citation statements)

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“…The model reported here was originally developed by Jensen and Sharma (1989 A study was performed to determine the optimum control volume size.…”

Section: Model Descriptionmentioning

confidence: 99%

“…(1) heat is transferred radially away from the pipe, (2) fluid and heat flow are steady-state processes, except for heat loss in the wellbores, The correlations used in this modeling effort were obtained from Jensen andSharma (1987, 1989). These include heat transfer coefficients for the outside of surface pipes, film heat transfer coefficients for hot water flowing inside a surface pipe or down a well, and local film heat transfer coefficients for condensing steam flowing inside a surface line or down a well.…”

Section: Model Descriptionmentioning

confidence: 99%

“…In tests that specified the use of a vacuum in the annular portion of the pipe, leaks were detected and the vacuum could not be held. and Sharma (1989) model, and includes the modeling efforts of Ramey (1962) and Satter (1963). The setup was such that the steam generated from the boiler first flowed through the vertical test section and then through the horizontal test section, and into a water recovery system.…”

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confidence: 99%

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Testing of and model development for double-walled thermal tubular

Satchwell¹,

Johnson²

1992

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From this work a new model for simulating the thermal hydraulics of saturated steam or hot water was developed. This model is capable of simulating the heat losses in surface lines from the boiler and through the wellbore to the reservoir sandface. This model extends the prediction of heat loss by allowing for a variety of surface pipe configurations and/or wellbore configurations to be simulated. The comparison of this new model to previously published models was performed. The new model can predict the field data over a larger range of operating parameters with better accuracy than any of the previously published models. Using this model, temperature, pressure, and steam quality at the reservoir sandface can be predicted with a high degree of accuracy and reliability. The information gained from these predictions can be used to design better well completion and provide better accuracy of steam flood performance.

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“…The model reported here was originally developed by Jensen and Sharma (1989 A study was performed to determine the optimum control volume size.…”

Section: Model Descriptionmentioning

confidence: 99%

Section: Model Descriptionmentioning

confidence: 99%

mentioning

confidence: 99%

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Testing of and model development for double-walled thermal tubular

Satchwell¹,

Johnson²

1992

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“…In the above paper and the earlier study of Lee (1982) the formation temperatures, obtained by the method of Laplace transformation, are rather bulky and require tedious non-trivial numerical evaluations and, therefore, are not very convenient for engineering estimations. Moreover, in these publications and in a number of earlier studies, heat interactions of circulating fluid and with formation were treated under the condition of constant bore-face temperature or heat flux (Edwardson et al 1962;Ramey 1962;Squier et al 1962;Jensen & Sharma 1989;Arnold 1990). On the basis of these solutions, and with some additional simplifying assumptions, several simple analytical formulae for the rock temperature in the formation and the heat flux on the walls of the well were proposed (Kutasov 1987;Kutasov 1999).…”

Section: Introductionmentioning

confidence: 99%

Analytical modelling of the formation temperature stabilization during the borehole shut-in period

Fomin

Чугунов

Hashida

2003

Geophysical Journal International

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SUMMARY The problem of formation temperature stabilization during the shut‐in period is solved analytically by the approximate generalized integral‐balance method. The model accounts for the thermal history of the borehole exploitation, which may include a finite number of circulation and shut‐in periods, and different flow regimes during circulation periods. The latter is determined by the temperatures of the circulating fluid and different Biot numbers that depend on intensity of the heat transfer on the bore‐face. Normally the temperature fields in the well and surrounding rocks are calculated numerically by the finite‐difference and finite‐element methods or analytically, by applying the Laplace‐transform method. Formulae, analytically obtained by Laplace transform, are rather bulky and require tedious non‐trivial numerical evaluations. Moreover, in previous research the heat interactions of the circulating fluid with formation were treated under the condition of constant bore‐face temperatures. In the present study the temperature field in the formation disturbed by the heat flow from the borehole is modelled by the heat conduction equation and thermal interaction of the circulating fluid with formation is approximated by the Newton relationship on the bore‐face. The problem for circulation and shut‐in periods is solved analytically using the heat balance integral method, where the radius of thermal influence, which defines the thermally disturbed domain, is a function of time, which satisfies the algebraic equation. Within this method, the approximate solution of the heat conduction problem is sought in the form of a finite sum of functions which belong to a complete set of the linearly independent functions defined on the finite interval bounded by the radius of thermal influence and satisfy the homogeneous boundary condition on the bore‐face. It can be proved theoretically that the approximate solution found by this method converges to the exact one. Numerical results illustrate quite good agreement between the approximate and exact solutions. As a result of its simplicity and accuracy, the derived solution is convenient for geophysical practitioners and can be readily used, for instance, for predicting equilibrium formation temperatures.

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