A heat loss analytical model for the thermal front displacement in naturally fractured reservoirs

Ascencio, Fernando Lozano; Samaniego, Fernando; Rivera, Jesús

doi:10.1016/j.geothermics.2013.09.002

Cited by 12 publications

(8 citation statements)

References 21 publications

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“…For thermal perturbations in fractured reservoirs, analytical solutions have been developed by exploiting the analogy between fractures and aquifers and between matrix blocks and aquitards for single (or parallel) fractures and semi-infinite (or finite) slab-like matrix blocks (Abbasi et al, 2017;Ascencio et al, 2014;Bodvarsson, 1969;Bodvarsson & Tsang, 1982;Jung & Pruess, 2012;Kocabas, 2005). This configuration of nonoverlapping parallel fractures and matrix blocks is oversimplified because it neglects the complex networks of natural fractures and the multitude of matrix blocks with different shapes and sizes.…”

Section: Introductionmentioning

confidence: 99%

Revisiting the Analytical Solutions of Heat Transport in Fractured Reservoirs Using a Generalized Multirate Memory Function

Zhou

Oldenburg

Rutqvist

2019

Water Resources Research

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Numerous analytical solutions have been developed for modeling thermal perturbations to underground formations caused by deep-well injection of fluids. Each solution has been derived for a specific boundary value problem and a simplified flow network with one set of parallel fractures. In this paper, new generalized solutions G * (x, s) are developed using (existing) global transfer functions G * 0 x; s ð Þand a new memory function g * (s), where x and s are the space and Laplace variable. The memory function represents the solutions of conductive heat exchange between fractures and matrix blocks and between fractured aquifers and unfractured aquitards. The memory function is developed to account for multirate exchange induced by different shapes, sizes, properties, and volumetric fractions of matrix blocks bounded by multiple sets of orthogonal fractures with different spacing. The global transfer functions represent the fundamental solutions to convective, convective-conductive, and convective-dispersive heat transport in fractures (or aquifers) without exchange and are available for various (1-D linear, 1-D radial, 2-D dipole, and single-well injection-withdrawal) flow fields. The new solutions with exchange are developed using G *, thereby greatly simplifying solution development in a novel way, where ϑ and B * (s) are a fracture-matrix scaling factor and the boundary condition function. The new solutions are applied to several example problems, showing that heat transport in fractured aquifers is significantly impacted by (1) thermal dispersion in fractures that is rarely considered, (2) multirate heat exchange with a wide range of size and anisotropy of rectangular matrix blocks, and (3) heat exchange between aquifers and aquitards.

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Section: Introductionmentioning

confidence: 99%

Revisiting the Analytical Solutions of Heat Transport in Fractured Reservoirs Using a Generalized Multirate Memory Function

Zhou

Oldenburg

Rutqvist

2019

Water Resources Research

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“…Shaw-Yang and Hund-Der (2008), Li et al (2010) and Yeh et al (2012) presented semi-analytical models by using the Laplace transform method in order to model the temperature distribution in an aquifer thermal extraction system for a finite aquifer with different rock properties. Ascencio et al (2014) developed an analytical model for cold water injection into a fractured reservoir which presents solutions to compute the distance that separates the hydrodynamic and thermal fronts within the reservoir at a given time under transient and steady state conditions. Ganguly and Kumar (2014) presented an analytical model to predict the transient temperature distribution during cold water injection in a heterogeneous geothermal reservoir.…”

Section: Introductionmentioning

confidence: 99%

Investigation of thermal model effects on geothermal and oil reservoir well testing behavior during water and steam injection

Abbasi

Ahmadi

Kazemi

et al. 2020

Oil Gas Sci. Technol. – Rev. IFP Energies nouvelles

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Global warming and reducing fossil fuel resources have increased the interest in using renewable resources such as geothermal energy. In this paper, in the first step, heat transfer equations have been presented for reservoir during water (steam) injection by considering heat loss to adjacent formations. According to radius of thermal front, the reservoir is partitioned into two regions with different fluid physical properties. The heat transfer model is coupled with a fluid flow model which is used to calculate the reservoir pressure or fluid flow rates. Then by calculating outer radius of heated region and using radial composite reservoir model, the fluid flow equations in porous media are solved. Using pressure derivative plot in regions with different thermal conductivity coefficients, a type curve plot is presented. The reservoir and adjacent formation thermal conductivity coefficients can be calculated by matching the observed pressure data on the thermal composite type curve. Additionally, the interference test in composite geothermal reservoir is discussed. In the composite reservoir model, parameters such as diffusivity coefficient, conductivity ratio and the distance to the radial discontinuity are considered. New type curves are provided to introduce the effect of diffusivity/conductivity contrast ratios on temperature behavior. Improving interpretations, and performing fast computations and fast sensitivity analysis are the benefits of the presented solutions.

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“…The model was then employed to evaluate thermal breakthrough in the geothermal doublet system [7] and to describe horizontal conduction and convection in the reservoir and vertical conduction in the confining rock (caprock and bedrock) [8][9][10]. Nonisothermal heat exchange between fluid in the fractures and matrix [11] and coupled heat-fluid transport processes in both wellbore and reservoirs were considered as well [12][13][14]. The analytical solutions offered fast and sound tools to understand the principles of HT processes in the subsurface.…”

Section: Introductionmentioning

confidence: 99%

Assessment of Energy Production in the Deep Carbonate Geothermal Reservoir by Wellbore-Reservoir Integrated Fluid and Heat Transport Modeling

et al. 2019

Geofluids

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Geothermal energy is clean and independent to the weather and seasonal changes. In China, the huge demanding of clean energy requires the geothermal energy exploitation in the reservoir with depth larger than 1000 m. Before the exploitation, it is necessary to estimate the potential geothermal energy production from deep reservoirs by numerical modeling, which provides an efficient tool for testing alternative scenarios of exploitation. We here numerically assess the energy production in a liquid-dominated middle-temperature geothermal reservoir in the city of Tianjin, China, where the heat and fluid transport in the heterogeneous reservoir and deep wellbores are calculated. It is concluded that the optimal injection/production rate of the typical geothermal doublet well system is 450 m3/h, with the distance between geothermal doublet wells of 850 m. The outflow temperature and heat extraction rate can reach 112°C and 43.5 MW, respectively. Through decreasing injection/production rate lower than 450 m3/h and optimizing layout of the injection well and production well (avoiding the high permeability zone at the interwell sector), the risk of heat breakthrough can be reduced. If the low permeability zone in the reservoir is around injection well, it usually leads to abnormal high wellhead pressure, which may be solved by stimulation technique to realize stable operation. The methodology employed in this paper can be a reference for a double-well exploitation project with similar conditions.

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A heat loss analytical model for the thermal front displacement in naturally fractured reservoirs

Cited by 12 publications

References 21 publications

Revisiting the Analytical Solutions of Heat Transport in Fractured Reservoirs Using a Generalized Multirate Memory Function

Revisiting the Analytical Solutions of Heat Transport in Fractured Reservoirs Using a Generalized Multirate Memory Function

Investigation of thermal model effects on geothermal and oil reservoir well testing behavior during water and steam injection

Assessment of Energy Production in the Deep Carbonate Geothermal Reservoir by Wellbore-Reservoir Integrated Fluid and Heat Transport Modeling

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