Flow to a heated borehole in porous, thermoelastic rock: Analysis

McTigue, D. F.

doi:10.1029/wr026i008p01763

Cited by 76 publications

(41 citation statements)

References 14 publications

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“…Brine within intergranular porosity moves along interconnected macroscopic pores & grainboundaries due to a combination of fluid pressure, thermal, and rock stress gradients (i.e., thermoporoelasticity - (McTigue, 1986(McTigue, , 1990. The intergranular pore space is characterized at the macroscopic scale by its porosity and permeability.…”

Section: Intergranular Brinementioning

confidence: 99%

“…Research at Sandia National Laboratories (SNL) associated with the Waste Isolation Pilot Plant (WIPP) from the late 1970s to the mid 1980s, developed experimental datasets to support the thermoporoelastic porous medium flow model for brine flow in salt (McTigue, 1986(McTigue, , 1990. This successful model discounted intragranular brine flow, to simplify mathematical and numerical models.…”

Section: Brine In Saltmentioning

confidence: 99%

“…Non-isothermal flow to a nondeforming borehole McTigue (1986McTigue ( , 1990 and McTigue and Nowak (1988) combined thermoelasticity (solid expansion due to heating) with poroelasticity (deforming porous rock coupled with liquid flow), to develop solutions to thermoporoelastic problems relevant to radioactive waste disposal in salt. The thermoporoelasticity problem discussed in Chapter 2 was solved by using the following simplifying assumptions:…”

Section: Isothermal Flow To a Nondeforming Boreholementioning

confidence: 99%

“…We derive the equations for single-phase brine flow in a similar but more general form to the thermoporoelastic approach taken by McTigue (1986McTigue ( , 1990. Due to the inherently coupled, and often non-linear nature of the governing equations, most researchers immediately proceed to use numerical models to match observed data and make predictions.…”

Section: Chapter 1 Introductionmentioning

confidence: 99%

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Brine flow in heated geologic salt.

Kuhlman¹,

Malama²

2013

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This report is a summary of the physical processes, primary governing equations, solution approaches, and historic testing related to brine migration in geologic salt. Although most information presented in this report is not new, we synthesize a large amount of material scattered across dozens of laboratory reports, journal papers, conference proceedings, and textbooks.We present a mathematical description of the governing brine flow mechanisms in geologic salt. We outline the general coupled thermal, multi-phase hydrologic, and mechanical processes. We derive these processes' governing equations, which can be used to predict brine flow. These equations are valid under a wide variety of conditions applicable to radioactive waste disposal in rooms and boreholes excavated into geologic salt. 3We focus on the development of the governing equations with the intent to solve them analytically or in a simplified numerical manner, although we briefly summarize some available fully coupled three-dimensional numerical models and some historic modeling results. We non-dimensionalize the governing equations, and make some statements about importance of terms in the governing equations for physically plausible ranges of material property values.We summarize both in situ and laboratory brine migration testing in intact geologic salt, primarily focusing on tests performed under heated conditions relevant to high-level waste disposal. Supporting material is presented in appendices on relevant aspects of laboratory water content determination for bedded salt, the nature and evolution of the disturbed rock zone, and geologic salt permeability testing.In the final summary chapter, we provide a narrative description of the processes controlling both isothermal and heated brine inflow to excavations in geologic salt. Based upon our review, we recommend several potential in situ and laboratory tests, which could be conducted to increase understanding, parametrize numerical models, and confirm the importance of competing physical processes.4

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Section: Intergranular Brinementioning

confidence: 99%

Section: Brine In Saltmentioning

confidence: 99%

Section: Isothermal Flow To a Nondeforming Boreholementioning

confidence: 99%

Section: Chapter 1 Introductionmentioning

confidence: 99%

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Brine flow in heated geologic salt.

Kuhlman¹,

Malama²

2013

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“…For example, Mctigue [32], Kurashige [33] and Charlez [34] derived similar theoretical formulations that can be used for studying coupled thermo-poro-elasticity wellbore problems. By using the above theories, Zhou et al [35], Ghassemi and Diek [36], Wang and Dusseault [37], Choi et al [38] and Wu et al [39,40] studied the THM behaviors around a wellbore or sphere.…”

Section: Introductionmentioning

confidence: 99%

A Transient Analytical Model for Predicting Wellbore/Reservoir Temperature and Stresses during Drilling with Fluid Circulation

Liu

Zhang

et al. 2017

Energies

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Accurate characterization of heat transfer in a wellbore during drilling, which includes fluid circulation, is important for wellbore stability analysis. In this work, a pseudo-3D model is developed to simultaneously calculate the heat exchange between the flowing fluid and the surrounding media (drill pipe and rock formation) and the in-plane thermoelastic stresses. The cold drilling fluid descends through the drill pipe at constant injection rates and returns to the ground surface via the annulus. The fluid circulation will decrease the wellbore bottom temperature and reduce the near-wellbore high compressive stress, potentially leading to tensile fracturing of the well. The governing equations for the coupled heat transfer stress problem are formulated to ensure that the most important parameters are taken into account. The wellbore is subject to a non-hydrostatic in situ far-field stress field. In modeling heat exchange between fluid and surrounding media, the heat transfer coefficients are dependent on fluid properties and flow behavior. Analytical solutions in the Laplace space are obtained for the temperatures of the fluid in both the drill pipe and annulus and for the temperature and stress changes in the formation. The numerical results in the time domain are obtained by using an efficient inversion approach. In particular, the near-well stresses are compared for the cases with fixed and time-dependent cooling wellbore conditions. This comparison indicates that the using a fixed temperature wellbore conditions may over-estimate or under-estimate the bottom-hole stress change, potentially leading to wellbore stability problems.

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A Note on the Solution to the Diffusion Equation

Wang

1996

Int. J. Numer. Anal. Methods Geomech.

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Three methods (Gauss-Legendre method, Stehfest method and Laplace transform method) are used to evaluate a solution of a coupled heat-fluid linear diffusion equation. Comparing with the results by Jaeger, the accuracy and efficiency of the Stehfest and Gauss-Legendre methods and the limitations of the truncated solutions obtained by Laplace transformation are discussed. It is concluded that the Stehfest method gives accurate results and is numerically more efficient than the other two methods, particularly for the solutions in early time. Two transformations with u = -In(x) and u = arctan(xn/2), where u is the original integral variable, are considered in the Gauss-Legendre method.

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Flow to a heated borehole in porous, thermoelastic rock: Analysis

Cited by 76 publications

References 14 publications

Brine flow in heated geologic salt.

Brine flow in heated geologic salt.

A Transient Analytical Model for Predicting Wellbore/Reservoir Temperature and Stresses during Drilling with Fluid Circulation

A Note on the Solution to the Diffusion Equation

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