Influence of the β parameter of the Haverkamp model on the transient soil water infiltration curve

Latorre, Borja; Moret‐Fernández, David; Lassabatère, Laurent; Rahmati, Mehdi; López, M.V.; Angulo-Jaramillo, Rafaël; Sorando, Ricardo; Comı́n, Francisco A.; Jiménez, Juan J.

doi:10.1016/j.jhydrol.2018.07.006

Cited by 25 publications

(40 citation statements)

References 26 publications

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“…This could mean that during the inverse analysis these parameters compensate each other, which could make it difficult to estimate their exact values. As Latorre et al (2018) found in 1D infiltration, S and K s predictions were affected very little by β.…”

Section: Synthetic Soilssupporting

confidence: 68%

“…In addition, the 3T approximation relies on using three terms, which means that potentially three parameters may be estimated. However, as already observed in the QEI model (Latorre et al, 2018), analysis of the 1D 3T demonstrates that β does not have a large effect on the 1D infiltration curve (Rahmati et al, 2019); this makes estimating it quite tricky. Although this 1D 3T expansion proved to be very efficient, its adaptation for 3D disc infiltrometer geometry has not yet been evaluated.…”

Section: Introductionmentioning

confidence: 81%

“…The response surfaces were calculated on a rectangular grid with K s from 0.001 to 0.1 mm s −1 , S from 0.1 to 1.2, β from 0.5 to 1.6 (Lassabatere et al, 2009) and γ from 0.6 to 0.8 (Haverkamp et al, 1994). More details of the global analysis procedure can be found in Latorre et al (2018).…”

Section: Sensitivity Analysis Of the Qei Modelmentioning

confidence: 99%

“…However, the interrelationship between S, K, γ and β is still unclear and there is no consistent explanation for why γ and β should be used as constant values. More recently, Latorre et al (2018) demonstrated that β has a small influence on 1D infiltration.…”

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confidence: 99%

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Three‐ and four‐term approximate expansions of the Haverkamp formulation to estimate soil hydraulic properties from disc infiltrometer measurements

Moret‐Fernández

Latorre

López

et al. 2020

Hydrological Processes

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Soil sorptivity, S, and saturated hydraulic conductivity, K s , can be estimated from the inverse analysis of a disc infiltrometer cumulative infiltration curve using the quasi-exact implicit (QEI) analytical Haverkamp et al. (1994) equation, which is a function of K s , S, the parameters β and γ, the disc radius, r d , and the water content increase, Δθ. Given the complexity of solving QEI, this paper presents three-term, 3T, and four-term, 4T, QEI expansions to estimate S and K s. The interplays between β, γ, K s and S employing S-K s , γ-K s , γ-S, γ-β, S-β and K s-β error maps generated for a loam soil synthetic infiltration were analyzed with QEI. To reduce the number of variables, Δθ, r d and γ were packed into the A = γ r d Δθ term. Five different QEI expansion analyses were evaluated: (i and ii) optimization of 3T using A, 3T A , or β, 3T β , as fixed variables; (iii and iv) optimization of 3T, 3T Aβ , and 4T, 4T Aβ , using constant β and A values; and (v) optimization of 4T leaving all coefficients free, 4T F. The different methods were evaluated with synthetic infiltrations for homogeneous sand, loam and silt soils, and for an uniform loam soil with a contact sand layer. The QEI expansions were applied to experimental infiltrations, and the results were compared to those obtained with QEI, using β = 0.6 and γ = 0.75. Infiltrations were performed at zero cm of soil tension. Global optimization with QEI demonstrates that γ and β are extremely linked. This makes it difficult to estimate these two parameters. All procedures applied to synthetic homogeneous soils resulted in good K s and S approaches. However, only 3T A , 3T Aβ and 4T Aβ obtained accurate estimates of K s and S when applied to a synthetic homogeneous soil with a contact sand layer. Application of the different methods to the experimental infiltrations showed that 3T Aβ and 4T Aβ gave the most accurate and robust estimates of S and K s .

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Section: Synthetic Soilssupporting

confidence: 68%

Section: Introductionmentioning

confidence: 81%

Section: Sensitivity Analysis Of the Qei Modelmentioning

confidence: 99%

mentioning

confidence: 99%

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Three‐ and four‐term approximate expansions of the Haverkamp formulation to estimate soil hydraulic properties from disc infiltrometer measurements

Moret‐Fernández

Latorre

López

et al. 2020

Hydrological Processes

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“…The soil sorptivity, S (cm d 0.5 ), which is defined as a measure of the capacity of a porous medium to absorb or desorb liquid by capillarity, was calculated assuming a soil column with uniform initial water content and infinite length, following the approach of Parlange (1975) as described in Moret-Fernández et al 2017, Latorre et al (2018), and Rahmati et al 2019:…”

Section: Statistics and Data Evaluationmentioning

confidence: 99%

Choice of Pedotransfer Functions Matters when Simulating Soil Water Balance Fluxes

Weihermüller

Lehmann

Herbst

et al. 2021

J Adv Model Earth Syst

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Water fluxes and soil water content are key variables in the terrestrial system as they control the exchange of water and energy between the land-surface and the atmosphere (e.g., Vereecken et al., 2014). Modeling of the water flow in the unsaturated zone, and the uncertainty in the parameters used to simulate water flow, has been a topic of intense research for many years, both in the soil hydrological and land surface modeling community (

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Soil‐dependent β and γ shape parameters of the Haverkamp infiltration model for 3D infiltration flow

Yılmaz

Lassabatère

Moret‐Fernández

et al. 2023

Hydrological Processes

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Estimating of soil sorptivity (S) and saturated hydraulic conductivity (K s ) parameters by field infiltration tests are widespread due to the ease of the experimental protocol and data treatment. The analytical equation proposed by Haverkamp et al. (1994) allows the modelling of the cumulative infiltration process, from which the hydraulic parameters can be estimated. This model depends on both initial and final values of the soil hydraulic conductivity, initial soil sorptivity, the volumetric water content increase (Δθ) and two infiltration constants, the so-called β and γ parameters. However, to reduce the number of unknown variables when inverting experimental data, constant parameters such as β and γ are usually prefixed to 0.6 and 0.75, respectively. In this study, the values of these constants are investigated using numerical infiltration curves for different soil types and initial soil water contents for the van Genuchten-Mualem (vGM) soil hydraulic model. Our new approach considers the long-time expansions of the Haverkamp model, the exact soil properties such as S, K s and initial soil moisture to derive the value of the β and γ parameters for each specific case. We then generated numerically cumulative infiltration curves using Hydrus-3D software and fitted the long-time expansions to derive the value of the β and γ parameters. The results show that these parameters are influenced by the initial soil water content and the soil type. However, for initially dry soil conditions, some prefixed values can be proposed instead of the currently used values. If an accurate estimate of S and K s is the case, then for coarsetextured soils such as sand and loamy sand, we propose the use of 0.9 for both constants. For the remaining soils, the value of 0.75 can be retained for γ. For β constant, 0.75 and 1.5 values can be considered for, intermediate permeable soils (sandy loam and loam) and low permeable soils (silty loam and silt), respectively. We clarify that the results are based on using the vGM model to describe the hydraulic functions of the soil and that the results may differ, and the assumptions may change for other models.

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Influence of the β parameter of the Haverkamp model on the transient soil water infiltration curve

Cited by 25 publications

References 26 publications

Three‐ and four‐term approximate expansions of the Haverkamp formulation to estimate soil hydraulic properties from disc infiltrometer measurements

Three‐ and four‐term approximate expansions of the Haverkamp formulation to estimate soil hydraulic properties from disc infiltrometer measurements

Choice of Pedotransfer Functions Matters when Simulating Soil Water Balance Fluxes

Soil‐dependent β and γ shape parameters of the Haverkamp infiltration model for 3D infiltration flow

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