Parameter Estimation of Soil Water Retention and Thermal Conductivity Curves Using HYDRUS‐1D and Inverse Solution
ABSTRACT Soil water retention curve (SWRC) and thermal conductivity curve (TCC) are crucial soil properties affecting water flow and plant growth in soils. This study investigated simultaneous SWRC and TCC parameter estimation using an inverse solution approach. Water and heat movement in soil were...
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| Veröffentlicht in: | European journal of soil science Jg. 76; H. 3 |
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Blackwell Publishing Ltd
01.05.2025
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| Abstract | ABSTRACT
Soil water retention curve (SWRC) and thermal conductivity curve (TCC) are crucial soil properties affecting water flow and plant growth in soils. This study investigated simultaneous SWRC and TCC parameter estimation using an inverse solution approach. Water and heat movement in soil were modelled in two soil column experiments, including infiltration with warm water (IWW) and evaporation with heat pulse (EHP), using the HYDRUS‐1D package. For the IWW experiment, two scenarios were considered, each based on a selection of parameters for the inverse solution. For the EHP experiment, 13 scenarios were developed by varying combinations of heat pulses and soil suction sensors as inputs. Unique solutions were obtained in the first IWW, fifth EHP, and 12th EHP scenarios. The first IWW scenario estimated two SWRC parameters (empirical shape parameters, α and n) and three TCC parameters (empirical parameters in soil thermal conductivity function, b1, b2 and b3) using the temperature profile and cumulative infiltration as inputs. The fifth EHP scenario estimated five SWRC parameters (saturated [θs] and residual [θr] water content, saturated hydraulic conductivity Ks, α and n) and three TCC parameters (b1, b2 and b3) using three heat pulses and four tensiometers data as input to the model. The results showed both experiments could estimate SWRC and TCC, with EHP estimating up to eight parameters compared to five for IWW. The 12th EHP scenario (two heat pulses and two tensiometers) provided a unique solution using less input data, offering a more convenient approach, though with slightly wider bounds of estimated parameters. |
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| AbstractList | ABSTRACT
Soil water retention curve (SWRC) and thermal conductivity curve (TCC) are crucial soil properties affecting water flow and plant growth in soils. This study investigated simultaneous SWRC and TCC parameter estimation using an inverse solution approach. Water and heat movement in soil were modelled in two soil column experiments, including infiltration with warm water (IWW) and evaporation with heat pulse (EHP), using the HYDRUS‐1D package. For the IWW experiment, two scenarios were considered, each based on a selection of parameters for the inverse solution. For the EHP experiment, 13 scenarios were developed by varying combinations of heat pulses and soil suction sensors as inputs. Unique solutions were obtained in the first IWW, fifth EHP, and 12th EHP scenarios. The first IWW scenario estimated two SWRC parameters (empirical shape parameters, α and n) and three TCC parameters (empirical parameters in soil thermal conductivity function, b1, b2 and b3) using the temperature profile and cumulative infiltration as inputs. The fifth EHP scenario estimated five SWRC parameters (saturated [θs] and residual [θr] water content, saturated hydraulic conductivity Ks, α and n) and three TCC parameters (b1, b2 and b3) using three heat pulses and four tensiometers data as input to the model. The results showed both experiments could estimate SWRC and TCC, with EHP estimating up to eight parameters compared to five for IWW. The 12th EHP scenario (two heat pulses and two tensiometers) provided a unique solution using less input data, offering a more convenient approach, though with slightly wider bounds of estimated parameters. Soil water retention curve (SWRC) and thermal conductivity curve (TCC) are crucial soil properties affecting water flow and plant growth in soils. This study investigated simultaneous SWRC and TCC parameter estimation using an inverse solution approach. Water and heat movement in soil were modelled in two soil column experiments, including infiltration with warm water (IWW) and evaporation with heat pulse (EHP), using the HYDRUS‐1D package. For the IWW experiment, two scenarios were considered, each based on a selection of parameters for the inverse solution. For the EHP experiment, 13 scenarios were developed by varying combinations of heat pulses and soil suction sensors as inputs. Unique solutions were obtained in the first IWW, fifth EHP, and 12th EHP scenarios. The first IWW scenario estimated two SWRC parameters (empirical shape parameters, α and n ) and three TCC parameters (empirical parameters in soil thermal conductivity function, b 1 , b 2 and b 3 ) using the temperature profile and cumulative infiltration as inputs. The fifth EHP scenario estimated five SWRC parameters (saturated [ θ s ] and residual [ θ r ] water content, saturated hydraulic conductivity K s , α and n ) and three TCC parameters ( b 1 , b 2 and b 3 ) using three heat pulses and four tensiometers data as input to the model. The results showed both experiments could estimate SWRC and TCC, with EHP estimating up to eight parameters compared to five for IWW. The 12th EHP scenario (two heat pulses and two tensiometers) provided a unique solution using less input data, offering a more convenient approach, though with slightly wider bounds of estimated parameters. Soil water retention curve (SWRC) and thermal conductivity curve (TCC) are crucial soil properties affecting water flow and plant growth in soils. This study investigated simultaneous SWRC and TCC parameter estimation using an inverse solution approach. Water and heat movement in soil were modelled in two soil column experiments, including infiltration with warm water (IWW) and evaporation with heat pulse (EHP), using the HYDRUS‐1D package. For the IWW experiment, two scenarios were considered, each based on a selection of parameters for the inverse solution. For the EHP experiment, 13 scenarios were developed by varying combinations of heat pulses and soil suction sensors as inputs. Unique solutions were obtained in the first IWW, fifth EHP, and 12th EHP scenarios. The first IWW scenario estimated two SWRC parameters (empirical shape parameters, α and n) and three TCC parameters (empirical parameters in soil thermal conductivity function, b1, b2 and b3) using the temperature profile and cumulative infiltration as inputs. The fifth EHP scenario estimated five SWRC parameters (saturated [θs] and residual [θr] water content, saturated hydraulic conductivity Ks, α and n) and three TCC parameters (b1, b2 and b3) using three heat pulses and four tensiometers data as input to the model. The results showed both experiments could estimate SWRC and TCC, with EHP estimating up to eight parameters compared to five for IWW. The 12th EHP scenario (two heat pulses and two tensiometers) provided a unique solution using less input data, offering a more convenient approach, though with slightly wider bounds of estimated parameters. |
| Author | Liaghat, Abdolmajid Tehrani, Ashkan Delbaz, Reza |
| Author_xml | – sequence: 1 givenname: Ashkan orcidid: 0000-0002-7602-6093 surname: Tehrani fullname: Tehrani, Ashkan email: tehrani5@msu.edu organization: Michigan State University – sequence: 2 givenname: Abdolmajid orcidid: 0000-0002-3224-6529 surname: Liaghat fullname: Liaghat, Abdolmajid email: aliaghat@ut.ac.ir organization: College of Agriculture and Natural Resources, University of Tehran – sequence: 3 givenname: Reza orcidid: 0000-0001-9898-3866 surname: Delbaz fullname: Delbaz, Reza organization: College of Agriculture and Natural Resources, University of Tehran |
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Soil water retention curve (SWRC) and thermal conductivity curve (TCC) are crucial soil properties affecting water flow and plant growth in soils.... Soil water retention curve (SWRC) and thermal conductivity curve (TCC) are crucial soil properties affecting water flow and plant growth in soils. This study... |
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| SubjectTerms | Evaporation Heat Heat conductivity Heat pulses Heat transfer heat transport modelling Hydraulic conductivity HYDRUS‐1D Infiltration inverse solution Moisture content Parameter estimation Parameters Plant growth Retention Soil columns Soil conductivity Soil properties Soil suction Soil temperature Soil water Temperature profile Temperature profiles Tensiometers Tensometers Thermal conductivity Uniqueness Warm water Water content Water flow water flow modelling Water temperature |
| Title | Parameter Estimation of Soil Water Retention and Thermal Conductivity Curves Using HYDRUS‐1D and Inverse Solution |
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