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- Author:
**Telyakovskiy**,**Aleksey****S**., et al. ; Olsen, Jeffrey S.; Mortensen, Jeff; Show all 3 Authors- Source:
- Advances in water resources 2019 v.123 pp. 189-200
- ISSN:
- 0309-1708
- Subject:
- differential equation; groundwater flow; models; porous media; prediction; turbulent flow; water resources; wetting front
- Abstract:
- ... We consider a one-dimensional, unconfined groundwater flow equation for the horizontal propagation of water. This equation was derived by using a particular form of the Forchheimer equation in place of Darcy’s Law. Such equations can model turbulent flows in coarse and fractured porous media. For power-law head, exponential head, power-law flux and exponential flux boundary conditions at the inlet ...
- DOI:
- 10.1016/j.advwatres.2018.11.002
- http://dx.doi.org/10.1016/j.advwatres.2018.11.002

- Author:
**Telyakovskiy**,**Aleksey****S**., et al. ; Furtak-Cole, Eden; Cooper, Clay A.; Show all 3 Authors- Source:
- Advances in water resources 2018 v.116 pp. 145-152
- ISSN:
- 0309-1708
- Subject:
- differential equation; hydraulic conductivity; porous media; rivers; unconfined aquifer
- Abstract:
- ... The porous medium equation (PME) is a generalization of the traditional Boussinesq equation for hydraulic conductivity as a power law function of height. We analyze the horizontal recharge of an initially dry unconfined aquifer of semi-infinite extent, as would be found in an aquifer adjacent a rising river. If the water level can be modeled as a power law function of time, similarity variables ca ...
- DOI:
- 10.1016/j.advwatres.2018.04.005
- https://dx.doi.org/10.1016/j.advwatres.2018.04.005

- Author:
**Telyakovskiy**,**Aleksey****S**., et al. ; Kurita, Satoko; Allen, Myron B.; Show all 3 Authors- Source:
- Advances in water resources 2016 v.96 pp. 68-73
- ISSN:
- 0309-1708
- Subject:
- aquifers; equations; models; wetting front
- Abstract:
- ... This paper presents a method for constructing polynomial-based approximate solutions to the Boussinesq equation with cylindrical symmetry. This equation models water injection at a single well in an unconfined aquifer; as a sample problem we examine recharge of an initially empty aquifer. For certain injection regimes it is possible to introduce similarity variables, reducing the original problem ...
- DOI:
- 10.1016/j.advwatres.2016.06.015
- http://dx.doi.org/10.1016/j.advwatres.2016.06.015

- Author:
**Telyakovskiy**,**Aleksey****S**., et al. ; Olsen, Jeffrey S.; Mortensen, Jeff; Show all 3 Authors- Source:
- Advances in water resources 2016 v.91 pp. 117-121
- ISSN:
- 0309-1708
- Subject:
- equations; mass; water resources
- Abstract:
- ... A two-sided fractional conservation of mass equation is derived by using left and right fractional Mean Value Theorems. This equation extends the one-sided fractional conservation of mass equation of Wheatcraft and Meerschaert. Also, a two-sided fractional advection-dispersion equation is derived. The derivations are based on Caputo fractional derivatives. ...
- DOI:
- 10.1016/j.advwatres.2016.03.007
- http://dx.doi.org/10.1016/j.advwatres.2016.03.007

- Author:
**Telyakovskiy**,**Aleksey****S**., et al. ; Hayden, Kevin M.; Wheatcraft, Stephen W.; Show all 3 Authors- Source:
- Advances in water resources 2012 v.49 pp. 72-75
- ISSN:
- 0309-1708
- Subject:
- models; porous media; prediction; water resources
- Abstract:
- ... Free-surface films provide a potential explanation for fast transport of water through unsaturated fractured porous media. In air-filled fractures such films propagate much faster than a plug flow or flow through porous matrix. Thus fractures do not slow down the flow as was believed earlier but actually can transport the fluid fast. In this note we generalize the model of Dragila (1999) [4] and D ...
- DOI:
- 10.1016/j.advwatres.2012.06.012
- http://dx.doi.org/10.1016/j.advwatres.2012.06.012