Calculating transport of water from a conduit to the porous matrix by boundary distributed source method

Perne, Matija; Šarler, Božidar; Gabrovšek, Franci

doi:10.1016/j.enganabound.2012.06.001

Cited by 26 publications

(4 citation statements)

References 22 publications

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“…Another possible way to strengthen and improve the performance of the distributed model could be achieved by testing different formulations, for example using the Preissmann slot concept to incorporate pressurised flow. This might enable one to better reproduce the transition between free surface flow and pressurized flow, like has been done in different studies using the US Environmental Protection Agency Storm Water Management Model (SWMM) for urban drainage networks (Ferreri et al 2010) but also in karst environments (Gabrovšek and Peric 2006;Halihan et al 1998;Perne et al 2012;Peterson and Wicks 2006) as well as the InfoWorks ICM software used in this paper (see section '1D models to simulate groundwater/surface-water interaction') . In the current version of MODFLOW-USG CLN, the alternative is to use confined flow within CLN to account for saturated conditions (but between CLN only), and through the use of convertible cells to simulate "flow to dry cells" between CLN and GWF cell.…”

Section: Discussionmentioning

confidence: 99%

An evaluation of semidistributed-pipe-network and distributed-finite-difference models to simulate karst systems

et al. 2020

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Several different approaches have been developed to model the specific characteristics of karst aquifers, taking account of their inherent complex spatial and temporal heterogeneities. This paper sets out the development of a semidistributed modelling approach for applications in an Irish karst context using urban drainage software. The models have proven to be very useful for different studies, with examples given for the ecohydrology of ephemeral karst lakes, extreme groundwater-flood alleviation, karst network investigation, submarine groundwater discharge, and quantification of different recharge and flow components. The limitations of the approach are also highlighted, in particular not being able to simulate diffuse infiltration and flow paths explicitly across the groundwater catchment. Hence, a more distributed, finite-difference modelling approach using MODFLOW Unstructured Grid (USG) with the newly developed Connected Linear Network (CLN) process is then compared against the semidistributed approach on the same karst catchment. Whilst it has proven difficult to achieve the same levels of model performance in simulating the spring flows in the distributed model compared to the semidistributed model, the ability to interrogate the flow paths at any point on the three-dimensional aquifer is demonstrated, which can give new insights into flows (and potential contaminant transport) through such complex systems. The influence of the proximity of highly transmissive conduits on the flow dynamics through the much-lower transmissive matrix cells in which the network is embedded has been particularly investigated.

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Section: Discussionmentioning

confidence: 99%

An evaluation of semidistributed-pipe-network and distributed-finite-difference models to simulate karst systems

et al. 2020

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“…3). The geometric model of karst caves was simplified based on their morphological characteristics, and the relationship between the average flow rate and the stress borne by the lining during the cave catchment period was determined to analyze the stress variation trends of the lining structure (Perne et al 2012;de Rooij et al 2013).…”

Section: Theoretical Research On Water Pressure Acting On Liningmentioning

confidence: 99%

Effect of an incremental change in external water pressure on tunnel lining: a case study from the Tongxi karst tunnel

Liu

Feng²,

et al. 2019

Nat Hazards

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Tunnel water inrush disaster is a serious problem in karst tunnel construction and occurs extensively in southwestern China. To prevent water inrush, hydraulic lining has been utilized extensively in karst tunnel construction. The failure of the hydraulic lining in the Tongxi tunnel is an example of a typical failure case that has yet to be fully analyzed. In this paper, the failure of the waterproof liner was studied by theoretical and numerical methods. By field investigation, the failure of the tunnel lining was attributed to a high hydraulic pressure head converging in the large karst caves behind the lining. The corresponding mechanical model can be simplified as a "karst cave water pressure" model. The key to the mechanical model was to determine the water pressure of the karst caves produced by the lining. The variation in water pressure was directly related to the cave' reservoir volume, catchment flow and catchment time. Thus, volume calculation formulas for two types of karst caves (strike and oblique caves) in the studied tunnel were constructed based on the engineering geological conditions. Considering the precipitation, the flow rate in the karst caves was regarded as nearly constant during the catchment period. Hence, reservoir volumes during different periods can be calculated and converted to the stress boundary conditions of the lining. Then, the mechanical response of the tunnel under different water levels was calculated by numerical simulation. Combining the field investigation and monitoring data, the tunnel lining failure was mainly believed to be triggered by hydraulic fracturing failure due to a high-pressure head. Finally, prevention measures were proposed based on the results of this study.

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“…To remedy these drawbacks in the BEM and MFS, several numerical schemes have been proposed, such as the boundary collocation method (BCM) [9], the modified collocation Trefftz method (MCTM) [10][11][12], the regularized meshless method (RMM) [13][14][15][16], the modified method of fundamental solutions (MMFS) [17], the boundary distributed source (BDS) method [18][19][20], and the nonsingular method of fundamental solutions [21].…”

Section: Introductionmentioning

confidence: 99%

Numerical Investigation on Convergence Rate of Singular Boundary Method

Li¹,

Chen

Fu³

2016

Mathematical Problems in Engineering

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The singular boundary method (SBM) is a recent boundary-type collocation scheme with the merits of being free of mesh and integration, mathematically simple, and easy-to-program. Its essential technique is to introduce the concept of the source intensity factors to eliminate the singularities of fundamental solutions upon the coincidence of source and collocation points in a strong-form formulation. In recent years, several numerical and semianalytical techniques have been proposed to determine source intensity factors. With the help of these latest techniques, this short communication makes an extensive investigation on numerical efficiency and convergence rates of the SBM to an extensive variety of benchmark problems in comparison with the BEM. We find that in most cases the SBM and BEM have similar convergence rates, while the SBM has slightly better accuracy than the direct BEM. And the condition number of SBM is lower than BEM. Without mesh and numerical integration, the SBM is computationally more efficient than the BEM.

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Calculating transport of water from a conduit to the porous matrix by boundary distributed source method

Cited by 26 publications

References 22 publications

An evaluation of semidistributed-pipe-network and distributed-finite-difference models to simulate karst systems

An evaluation of semidistributed-pipe-network and distributed-finite-difference models to simulate karst systems

Effect of an incremental change in external water pressure on tunnel lining: a case study from the Tongxi karst tunnel

Numerical Investigation on Convergence Rate of Singular Boundary Method

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