A Coupled Transient Wellbore/Reservoir-Temperature Analytical Model
- Mauricio S. C. Galvao (Petrobras) | Marcio S. Carvalho (Pontifical Catholic University of Rio de Janeiro) | Abelardo B. Barreto Jr. (Pontifical Catholic University of Rio de Janeiro)
- Document ID
- Society of Petroleum Engineers
- SPE Journal
- Publication Date
- May 2019
- Document Type
- Journal Paper
- 2019.Society of Petroleum Engineers
- coupled wellbore/reservoir modeling, analytical model, Joule-Thomson/adiabatic expansion effects, transient temperature data
- 24 in the last 30 days
- 138 since 2007
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This work presents a new coupled transient wellbore/reservoir thermal analytical model, consisting of a combined reservoir/casing/tubing system. The analytical model considers flow of a slightly compressible, single-phase fluid in a homogeneous infinite-acting reservoir system and provides temperature-transient data for drawdown and buildup tests at any gauge location along the wellbore. The model accounts for Joule-Thomson (J-T), adiabatic-fluid-expansion, conduction, and convection effects. The wellbore-fluid mass density is modeled as a function of temperature, and the analytical solution makes use of the Laplace transformation to solve the transient heat-flow differential equation, accounting for a transient wellbore-temperature gradient ∂T = ∂z. The solutions presented assume moderate- to high-permeability reservoirs and do not consider skin effects in the formation. Results of the analytical model are compared with those of a commercial thermal simulator and with those of available models in the literature. Our model provides more accurate transient-temperature-flow profiles along the wellbore in comparison with previous analytical models in the literature. Furthermore, a generalization of a well-known parameter-estimation method from transient-temperature data is provided.
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