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DOI	10.1016/j.advwatres.2020.103632
	Equivalent and effective conductivities of heterogeneous aquifers for steady source flow, with illustration for hydraulic tomography
	Bellin A.; Fiori A.; Dagan G.
发表日期	2020
ISSN	0309-1708
卷号	142
英文摘要	The effective conductivity of heterogeneous aquifers Kefu relates the mean flux to the mean head gradient in mean uniform (natural gradient) flow. While Kefu depends on the hydraulic conductivity K statistical moments (KG, the geometric mean and σY 2, the logconductivity variance for a given structure model) it is not a local property for strongly nonuniform well flow. In hydraulic tomography, flow to a short well segment which is considered here, can be approximated by that toward a source in a three-dimensional heterogeneous medium. We investigate the equivalent conductivity Keq, which unlike Kefu, is a measurable property, directly related to the head H (or its mean) and the discharge. The dependence of Keq on K statistics and distance r from the source is determined for steady source flow in a formation of random stationary and statistically isotropic K. For the first time Keq is derived by numerical simulations for σY 2≤ 4. The derivation of the transition of Keq from the local exact value for r/I < < 1 (I is the integral scale) to Kefu for r/I⪆1 is one of the main results of the study. Application to a synthetic example of hydraulic tomography to derive KG, σY 2and I, from H measurements, demonstrates the promise of the method and calls for its further development and validation. © 2020 Elsevier Ltd
关键词	Aquifers Hydrogeology Effective conductivity Equivalent conductivity Heterogeneous aquifers Heterogeneous medium Hydraulic tomographies Natural gradient Statistical moments Structure modeling Tomography aquifer computer simulation flow field heterogeneity heterogeneous medium hydraulic conductivity hydraulic head hydraulics numerical model steady flow three-dimensional modeling tomography
语种	英语
来源机构	Advances in Water Resources
文献类型	期刊论文
条目标识符	http://gcip.llas.ac.cn/handle/2XKMVOVA/131780
推荐引用方式 GB/T 7714	Bellin A.,Fiori A.,Dagan G.. Equivalent and effective conductivities of heterogeneous aquifers for steady source flow, with illustration for hydraulic tomography[J]. Advances in Water Resources,2020,142.
APA	Bellin A.,Fiori A.,&Dagan G..(2020).Equivalent and effective conductivities of heterogeneous aquifers for steady source flow, with illustration for hydraulic tomography.,142.
MLA	Bellin A.,et al."Equivalent and effective conductivities of heterogeneous aquifers for steady source flow, with illustration for hydraulic tomography".142(2020).