Equivalence of Discrete Fracture Network and Porous Media Models by Hydraulic Tomography

Dong, Yanhui; Fu, Yunmei; Yeh, Tian‐Chyi Jim; Wang, Yu‐Li; Zha, Yuanyuan; Wang, Liheng; Hao, Yonghong

doi:10.1029/2018wr024290

Cited by 45 publications

(30 citation statements)

References 55 publications

(88 reference statements)

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“…10.1029/2019WR026071 via inverse modeling (Clarkson et al, 2016), capturing their dominant features even using sparse monitoring networks (Dong et al, 2019).…”

Section: Research Articlementioning

confidence: 99%

“…The actual volume and percentage of fluid recovered (Birdsell et al, 2015) depend on the percentage permanently sequestered in the rock matrix and on the extent of losses as an effect of leak-off in the formation, a very complex phenomenon happening on dual time scales (Wang et al, 2018). Backflow is also a way of determining properties of existing fractures 10.1029/2019WR026071 via inverse modeling (Clarkson et al, 2016), capturing their dominant features even using sparse monitoring networks (Dong et al, 2019).…”

Section: Introductionmentioning

confidence: 99%

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Non‐Newtonian Backflow in an Elastic Fracture

Chiapponi

Ciriello

Longo

et al. 2019

Water Resources Research

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Backflow phenomenon, as a consequence of hydraulic fracturing, is of considerable technical and environmental interest. Here, backflow of a non-Newtonian fluid from a disk-shaped elastic fracture is studied theoretically and experimentally. The fracture is of constant aperture h and the outlet section at constant pressure p e . We consider a shear-thinning power-law fluid with flow behavior index n. Fracture walls are taken to react with a force proportional to h , with a positive elasticity exponent; for = 1 linear elasticity holds. Constant overload f 0 , acting on the fracture, is also embedded in the model. A transient closed-form solution is derived for the (i) fracture aperture, (ii) pressure field, and (iii) outflow rate. The particular case of a Newtonian fluid (n = 1) is explicitly provided. For p e = 0 and f 0 = 0, the residual aperture and outflow rate scale asymptotically with time t as t −n/(n+ +1) and t −(2n+ +1)/(n+ +1) , respectively, thus generalizing literature results for n = 1 and/or = 1. For nonzero exit pressure and/or overload, the fracture aperture tends asymptotically to a constant value depending on , n, p e , f 0 , and other geometrical and physical parameters. The results are provided in dimensionless and dimensional form, including the time to achieve a given percentage of fluid recovery. In addition, an example application (with values of parameters derived from field scale applications) is included to further characterize the influence of fluid rheology. Experimental tests are conducted with Newtonian and shear-thinning fluids and different combinations of parameters to validate the model. Experimental results match well the theoretical predictions, mostly with a slight overestimation.

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“…10.1029/2019WR026071 via inverse modeling (Clarkson et al, 2016), capturing their dominant features even using sparse monitoring networks (Dong et al, 2019).…”

Section: Research Articlementioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Non‐Newtonian Backflow in an Elastic Fracture

Chiapponi

Ciriello

Longo

et al. 2019

Water Resources Research

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“…The proposed conceptualizations of groundwater flow in hard rocks include (Selroos et al 2002): double porosity models (Barenblatt et al 1960), discrete fracture models (Lee and Farmer 1993;Long et al 1982;Dong et al 2019), parallel plate models (Bear 1993;Lee and Farmer 1993) and equivalent porous media models (Lubczynski and Gurwin 2005;Courtois et al 2010;Dewandel et al 2006Dewandel et al , 2012. In an equivalent porous media model, the unconsolidated weathering layer is represented by a porous medium.…”

Section: Introductionmentioning

confidence: 99%

Hydrogeology and groundwater management in a coastal granitic area with steep slopes in Galicia (Spain)

et al. 2021

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Groundwater availability, management and protection are great challenges for the sustainability of groundwater resources in the scattered rural areas of the Atlantic regions of Europe where groundwater is the only option for water supply. This report presents a hydrogeological study of the coastal granitic area of Oia in northwestern Spain, which has unique geomorphological and hydrogeological features with steep slopes favoring the erosion of the weathered granite. The hydrogeological conceptual model of the study area includes: (1) the regolith layer, which is present only in the flat summit of the mountains; (2) the slope debris and the colluvial deposits, which are present in the intermediate and lowest parts of the hillside; (3) the marine terrace; and (4) the underlying fractured granite. Groundwater recharge from rainfall infiltration varies spatially due to variations in terrain slope, geology and land use. The mean annual recharge estimated with a hydrological water balance model ranges from 75 mm in the steepest zone to 135 mm in the lowest flat areas. Groundwater flows mostly through the regolith and the detrital formations, which have the largest hydraulic conductivities. Groundwater discharges in seepage areas, springs, along the main creeks and into the sea. The conceptual hydrogeological model has been implemented in a groundwater flow model, which later has been used to select the best pumping scenario. Model results show that the future water needs for domestic and tourist water supply can be safely provided with eight pumping wells with a maximum pumping rate of 700 m3/day.

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“…in a uniform continuum and explicitly model pathways representing natural fractures (Artus, 2020;Cacas et al, 1990a, b;Dershowitz et al, 2002;Karimi-Fard et al, 2004;Noetinger, 2015). The equivalence of the two approaches is compared in Dong et al (2019) and the circumstances in which the DFN network may be treated as a multiple, interacting continuum is noted there. Irrespective of the scheme adopted, one may not be indifferent to the manifold aspects of the transport of fluids and treat the system as an undifferentiated continuum concerning properties.…”

Section: Introductionmentioning

confidence: 99%

A study in fractional diffusion: Fractured rocks produced through horizontal wells with multiple, hydraulic fractures

Raghavan

Chen²

2020

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

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The spatiotemporal evolution of transients in fractured rocks often displays unusual characteristics and is traced to multifaceted origins such as micro-discontinuity in rock properties, rock fragmentation, long-range connectivity and complex flow paths. A physics-based model that incorporates transient propagation wherein the mean square displacement of the diffusion front follows a nonlinear scaling with time is proposed. This model is based on fractional diffusion. The motivation for fractional flux laws follows from the existence of long-range connectivity that results in the mean square displacement of fronts moving faster than predicted by classical models; correspondingly, obstructions and discontinuities, local flow reversals, intercalations, etc. produce the opposite effect with fronts moving at a slower rate than classical predictions. The interplay of these two competing behaviors is quantified. We simulate transient production in a porous rock at the Theis scale as a result of production through a horizontal well consisting of multiple hydraulic fractures. Asymptotic solutions are derived and computations verified. The practical potential of this model is described through an example and the movement of fronts under the constraints of this model is demonstrated through the new expressions developed in this work. We demonstrate that this model offers a potential avenue to explain other behaviors noted in the literature. Though this work is developed in the context of applications to the earth sciences (production of hydrocarbons, extraction of geothermal resources, sequestration of radioactive waste and other fluids, groundwater flow), a minimal change in the Nomenclature permits application to other contexts. Ideas proposed here are particularly useful in the context of superdiffusion in bounded systems which until now, in many ways, has been considered to be an open problem.

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Equivalence of Discrete Fracture Network and Porous Media Models by Hydraulic Tomography

Cited by 45 publications

References 55 publications

Non‐Newtonian Backflow in an Elastic Fracture

Non‐Newtonian Backflow in an Elastic Fracture

Hydrogeology and groundwater management in a coastal granitic area with steep slopes in Galicia (Spain)

A study in fractional diffusion: Fractured rocks produced through horizontal wells with multiple, hydraulic fractures

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