Non-linear radiation in the Boussinesq equation of the agricultural drainage

Zavala, Manuel; Fuentes, Carlos; Saucedo, Heber

doi:10.1016/j.jhydrol.2006.07.009

Cited by 11 publications

(9 citation statements)

References 14 publications

Supporting

Mentioning

Contrasting

Unclassified

Order By: Relevance

“…The initial condition is established from the water table position at the initial time. Dirichlet and Neumann boundary type conditions can be used on drains to solve equation 1, the pressure head on the drains is required in the first condition whereas the drainage flux is required in the second one [8]. A third type of boundary condition is a linear combination of the precedent conditions; this condition includes a resistance parameter to the flow at the soil-drain interface.…”

Section: Initial and Boundary Conditionsmentioning

confidence: 99%

“…To evaluate the descriptive capacity of the numerical solution, a drainage experiment was conducted in a laboratory. The drainage module (see Figure 1) is the one used by [8] and [10]. The module was filled with altered sample of salty soil of Celaya, Guanajuato, México (see Figure 2).…”

Section: Laboratory Experimentsmentioning

confidence: 99%

“…Figure 4 shows the experimental drained depth and the drained depth calculated with the finite difference solution [10], using a storage capacity variable, fractal radiation condition in the drains and the geometric mean model. To linearize the boundary condition, one generalization of the conductance coefficient is optimized ( κ ) [8,10]. The residual volumetric water content is considered to be zero (θ r = 0.0 cm 3 / cm 3 ) [38].…”

Section: The Hydrodynamic Characteristicmentioning

confidence: 99%

“…The dynamics of water drainage systems has been studied by applying the Boussinesq equation [6] for unconfined aquifers using the finite element technique [7,8] and the finite difference [9,10], and the solutes dynamics has been studied by applying the Fick's law [11,12,13]. These results in the advection-dispersion equation, namely by gravity and Fick's law.…”

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Soil Salinity Control in Irrigated Land with Agricultural Drainage Systems

Chávez¹,

Fuentes²,

Brambila³

et al. 2015

Agroecology

Self Cite

View full text Add to dashboard Cite

in the unit of time per unit of the aquifer L 3 , υ = υ (H) is the drainable porosity as a head function, and K s is the saturated hydraulic conductivity L T −1. The storage capacity, see [24], is: μ (H) = θ s − θ(H − H s), where θ s is the saturated volumetric water content L 3 L −3 , and θ(H − H s) represents the water content evolution in the position z = H s , while the free surface decreases, and z is the elevation of ground surface L. 2.2. The drainable porosity To calculate the storage capacity and the drainable porosity it is necessary to provide the soil water retention curve. The model of van Genuchten [25] was accepted in field and laboratory Agroecology 102 Soil Salinity Control in Irrigated Land with Agricultural Drainage Systems

show abstract

Section: Initial and Boundary Conditionsmentioning

confidence: 99%

Section: Laboratory Experimentsmentioning

confidence: 99%

Section: The Hydrodynamic Characteristicmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Soil Salinity Control in Irrigated Land with Agricultural Drainage Systems

Chávez¹,

Fuentes²,

Brambila³

et al. 2015

Agroecology

Self Cite

View full text Add to dashboard Cite

show abstract

“…Stimulating work in this area was presented by Zavala et al (2007), Fuentes et al (2009) or Singh (2009). The author of this article used the analytical solutions of drainage processes in water engineering practice (Stibinger, 2009;Stibinger and Kulhavy, 2010;Stibinger 2011).…”

Section: Introductionmentioning

confidence: 99%

Estimation of Transient Drainage Discharge from Subsurface Pipe Drainage System in City Park Next to Mseno Dam (Czech Republic)

Stibinger

2013

Agricultura Tropica Et Subtropica

View full text Add to dashboard Cite

The aim of this study has been to demonstrate the way of determination of drainage discharge by the method of De Zeeuw-Hellinga in the transient drainage flow conditions. For comparison and verification of numerical experiment of calculation of drainage discharge by equation of De Zeeuw-Hellinga with measured daily values of drainage discharge was selected subsurface pipe drainage system in experimental drained area, placed in the local city park next to the Mseno Dam, in the city of Jablonec nad Nisou, Czech Republic. The results showed a good conformity between calculations and measured data, the differences between De Zeeuw-Hellinga’s approximations and measured daily values of drainage discharge fluctuated from 0.6 (mm.day-1) to zero, and confirmed that the De Zeeuw-Hellinga’s formula is a suitable tool for approximation of the drainage discharge in the transient flow conditions. It was confirmed again that De Zeeuw-Hellinga theory is also applicable for the shallow subsurface pipe drainage system.

show abstract

Development, testing and application of DrainFlow: A fully distributed integrated surface-subsurface flow model for drainage study

Shokri

Bardsley

2016

Advances in Water Resources

View full text Add to dashboard Cite

Hydrological and hydrogeological investigation of drained land can be considered as a complex and integrated procedure. The scale of drainage studies may vary from a high-resolution small scale project through to a comprehensive catchment or regional scale investigation. This wide range the land surface recharge directly from the partial differential form of Richards equation rather than through analytical or empirical infiltration approaches like the Green and Ampt equation.

show abstract

Non-linear radiation in the Boussinesq equation of the agricultural drainage

Cited by 11 publications

References 14 publications

Soil Salinity Control in Irrigated Land with Agricultural Drainage Systems

Soil Salinity Control in Irrigated Land with Agricultural Drainage Systems

Estimation of Transient Drainage Discharge from Subsurface Pipe Drainage System in City Park Next to Mseno Dam (Czech Republic)

Development, testing and application of DrainFlow: A fully distributed integrated surface-subsurface flow model for drainage study

Contact Info

Product

Resources

About