Analysis of vadose zone inhomogeneity toward distinguishing recharge rates: Solving the nonlinear interface problem with Newton method

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dc.contributor.author Steward, David R.
dc.date.accessioned 2017-11-30T21:43:29Z
dc.date.available 2017-11-30T21:43:29Z
dc.identifier.uri http://hdl.handle.net/2097/38348
dc.description Citation: Steward, D. R. (2016). Analysis of vadose zone inhomogeneity toward distinguishing recharge rates: Solving the nonlinear interface problem with Newton method. Water Resources Research, 52(11), 8756-8774. doi:10.1002/2016wr019222
dc.description.abstract Recharge from surface to groundwater is an important component of the hydrological cycle, yet its rate is difficult to quantify. Percolation through two-dimensional circular inhomogeneities in the vadose zone is studied where one soil type is embedded within a uniform background, and nonlinear interface conditions in the quasilinear formulation are solved using Newton's method with the Analytic Element Method. This numerical laboratory identifies detectable variations in pathline and pressure head distributions that manifest due to a shift in recharge rate through in a heterogeneous media. Pathlines either diverge about or converge through coarser and finer grained materials with inverse patterns forming across lower and upper elevations; however, pathline geometry is not significantly altered by recharge. Analysis of pressure head in lower regions near groundwater identifies a new phenomenon: its distribution is not significantly impacted by an inhomogeneity soil type, nor by its placement nor by recharge rate. Another revelation is that pressure head for coarser grained inhomogeneities in upper regions is completely controlled by geometry and conductivity contrasts; a shift in recharge generates a difference Dp that becomes an additive constant with the same value throughout this region. In contrast, shifts in recharge for finer grained inhomogeneities reveal patterns with abrupt variations across their interfaces. Consequently, measurements aimed at detecting shifts in recharge in a heterogeneous vadose zone by deciphering the corresponding patterns of change in pressure head should focus on finer grained inclusions well above a groundwater table.
dc.relation.uri https://doi.org/10.1002/2016wr019222
dc.rights This Item is protected by copyright and/or related rights. You are free to use this Item in any way that is permitted by the copyright and related rights legislation that applies to your use. For other uses you need to obtain permission from the rights-holder(s).
dc.rights.uri http://publications.agu.org/author-resource-center/usage-permissions/
dc.subject Unsaturated Flow-Through
dc.subject Analytic Element Method
dc.subject Seepage Exclusion
dc.subject Problem
dc.subject Hydraulic Conductivity
dc.subject Steady Infiltration
dc.title Analysis of vadose zone inhomogeneity toward distinguishing recharge rates: Solving the nonlinear interface problem with Newton method
dc.type Article
dc.date.published 2016
dc.citation.doi 10.1002/2016wr019222
dc.citation.epage 8774
dc.citation.issn 0043-1397
dc.citation.issue 11
dc.citation.jtitle Water Resources Research
dc.citation.spage 8756
dc.citation.volume 52
dc.description.embargo 2017-05
dc.contributor.authoreid steward
dc.contributor.kstate Steward, David R.


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