Application of tracer injection tests to characterize rock matrix block size distribution and dispersivity in fractured aquifers

Haddad, Amin Sharifi; Abedi, Jalal; Chen, Zhangxin

doi:10.1016/j.jhydrol.2014.01.008

Cited by 18 publications

(4 citation statements)

References 67 publications

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“…Although analytical solutions are generally considered to be more rigorous than numerical methods due to providing exact solutions, sometimes these methods might not be able to handle complex problems with specific assumptions. As it mentioned in previous section, three different cases with different boundary condition will be discussed in this study in which only the first case is solved using analytical methods in literature 25 .…”

Section: Resultsmentioning

confidence: 99%

“…The analytical solution of a mass transfer equation is solved in base case (Eqs. 29 and 30 ) which is simple case, using the following formula in Laplace (S) domain 25 : In which the and represent the concentration values of higher and lower permeability layers in Laplace domain respectively. The above equations can be solved by introducing the Ai as Airy function.…”

Section: Resultsmentioning

confidence: 99%

“…Kocabas and Maier used analytical and numerical models to investigate the tracer flow in a fractured reservoir 24 . Haddad et al used analytical methods to estimate the dispersion coefficient in different geometries of matrix-fracture media by solving the convection–diffusion equation 25 . Aymen et al used the tracer response in analytical and numerical models to estimate water cut in fractured reservoirs 26 .…”

Section: Introductionmentioning

confidence: 99%

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Detailed numerical evaluation of diffusion convection equation in layered reservoirs during tracer injection

Moayyedi,

Sharifi,

Abbasi

et al. 2023

Sci Rep

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Characterization of heterogeneous reservoirs such as multilayered or fractured systems is an important issue in different disciplines such as hydrology, petroleum and geothermal systems. One of the popular methods that can be used for this purpose is tracer tests. Better understanding of the mechanisms of mass transfer (convection–diffusion process) is essential for having a proper test interpretation. In this study, the solutions of different scenarios of tracer flow in a pair of high and low-permeable layered reservoirs including convection and diffusion mechanisms are discussed. Although analytical solutions generally provided exact solutions, they involve several assumptions and might be hard to use for complex problems. As a result, numerical methods are selected for the investigation of different scenarios and addressing cases that are beyond access of analytical methods. In this study, several scenarios of considering diffusion and convection in low and high permeable zones and effective parameters on tracer concentration are investigated. According to the results of this study, the higher the porosity ratio of low to high permeable layer, the more time is needed to get the final concentration value. Also, by increasing the value of the dispersivity coefficient, the time needed to increase the concentration decreases. In other words, the sharp increase in concentration for lower times is seen in higher dispersivity values. The concentration profile variation is affected by Peclet number. The difference among concentration profiles in different cases is considerable, especially in low Peclet numbers where the diffusion mechanism is dominant. This behavior is more common in low permeable mediums such as multilayered tight or shale reservoirs.

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Section: Resultsmentioning

confidence: 99%

Section: Resultsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Detailed numerical evaluation of diffusion convection equation in layered reservoirs during tracer injection

Moayyedi,

Sharifi,

Abbasi

et al. 2023

Sci Rep

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show abstract

“…For example, measurements of vertical flow velocities in a borehole under ambient and forced hydraulic conditions are used to estimate the properties of individual fractures that intersect the borehole (Klepikova et al, 2013;Paillet et al, 2012;Roubinet et al, 2015), and piezometric data collected in observation boreholes allow one to provide models of fracture network organization (Fischer et al, 2018;Le Goc et al, 2010;Lods et al, 2020). Chemical tracer experiments, typically comprising the interpretation of breakthrough curves, yield information on the short and long paths in the fractured rock; these characterize the discrete fracture network (DFN) and matrix block properties, respectively (Haddad et al, 2014;Roubinet et al, 2013).…”

Section: Introductionmentioning

confidence: 99%

Thermal Experiments for Fractured Rock Characterization: Theoretical Analysis and Inverse Modeling

Zhou

Roubinet

Tartakovsky

2021

Water Resources Research

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Field-scale properties of fractured rocks play a crucial role in many subsurface applications, yet methodologies for identification of the statistical parameters of a discrete fracture network (DFN) are scarce. We present an inversion technique to infer two such parameters, fracture density and fractal dimension, from cross-borehole thermal experiments data. It is based on a particle-based heat-transfer model, whose evaluation is accelerated with a deep neural network (DNN) surrogate that is integrated into a grid search. The DNN is trained on a small number of the heat-transfer model runs and predicts the cumulative density function of the thermal field. The latter is used to compute fine posterior distributions of the (to be estimated) parameters. Our synthetic experiments reveal that fracture density is well constrained by data, while fractal dimension is harder to determine. Adding nonuniform prior information related to the DFN connectivity improves the inference of this parameter.

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Thermal experiments for fractured rock characterization: theoretical analysis and inverse modeling

Zhou

Roubinet

Tartakovsky

2021

Preprint

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Application of tracer injection tests to characterize rock matrix block size distribution and dispersivity in fractured aquifers

Cited by 18 publications

References 67 publications

Detailed numerical evaluation of diffusion convection equation in layered reservoirs during tracer injection

Detailed numerical evaluation of diffusion convection equation in layered reservoirs during tracer injection

Thermal Experiments for Fractured Rock Characterization: Theoretical Analysis and Inverse Modeling

Thermal experiments for fractured rock characterization: theoretical analysis and inverse modeling

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