### Abstract

It is proposed to apply a method for identifying thermal effusivity in order to monitor the percolation of water in a soil by means of a noninteger order model. This model is expressed in the form of a linear relation connecting the fractional derivatives of the temperature at a point of the system to the fractional derivatives of the stress applied, namely a flux. These derivatives are replaced by their discrete definitions and the model coefficients are identified from experimental measurements by a method of linear least squares. Flux sensors are used to measure the flux and temperature simultaneously in the access plane to the system, enabling the thermal impedance to be calculated. The study is made up of two parts: The first part consists in establishing in the laboratory a correlation between the effusivity and water content of a sample of ground studied by traditional methods. The second part constitutes the in situ tests, where with the flux sensors and the application of the method, the effusivity of the ground can be estimated and thus the water content deduced.

Original language | English |
---|---|

Pages (from-to) | 868-874 |

Number of pages | 7 |

Journal | Measurement Science and Technology |

Volume | 14 |

Issue number | 6 |

DOIs | |

Publication status | Published - 2003 Jun 1 |

Externally published | Yes |

### Fingerprint

### ASJC Scopus subject areas

- Materials Science (miscellaneous)
- Ceramics and Composites
- Polymers and Plastics

### Cite this

*Measurement Science and Technology*,

*14*(6), 868-874. https://doi.org/10.1088/0957-0233/14/6/324

**Use of noninteger identification models for monitoring soil water content.** / Chauchois, Alexis; Didier, Defer; Emmanuel, Antczak; Bruno, Duthoit.

Research output: Contribution to journal › Article

*Measurement Science and Technology*, vol. 14, no. 6, pp. 868-874. https://doi.org/10.1088/0957-0233/14/6/324

}

TY - JOUR

T1 - Use of noninteger identification models for monitoring soil water content

AU - Chauchois, Alexis

AU - Didier, Defer

AU - Emmanuel, Antczak

AU - Bruno, Duthoit

PY - 2003/6/1

Y1 - 2003/6/1

N2 - It is proposed to apply a method for identifying thermal effusivity in order to monitor the percolation of water in a soil by means of a noninteger order model. This model is expressed in the form of a linear relation connecting the fractional derivatives of the temperature at a point of the system to the fractional derivatives of the stress applied, namely a flux. These derivatives are replaced by their discrete definitions and the model coefficients are identified from experimental measurements by a method of linear least squares. Flux sensors are used to measure the flux and temperature simultaneously in the access plane to the system, enabling the thermal impedance to be calculated. The study is made up of two parts: The first part consists in establishing in the laboratory a correlation between the effusivity and water content of a sample of ground studied by traditional methods. The second part constitutes the in situ tests, where with the flux sensors and the application of the method, the effusivity of the ground can be estimated and thus the water content deduced.

AB - It is proposed to apply a method for identifying thermal effusivity in order to monitor the percolation of water in a soil by means of a noninteger order model. This model is expressed in the form of a linear relation connecting the fractional derivatives of the temperature at a point of the system to the fractional derivatives of the stress applied, namely a flux. These derivatives are replaced by their discrete definitions and the model coefficients are identified from experimental measurements by a method of linear least squares. Flux sensors are used to measure the flux and temperature simultaneously in the access plane to the system, enabling the thermal impedance to be calculated. The study is made up of two parts: The first part consists in establishing in the laboratory a correlation between the effusivity and water content of a sample of ground studied by traditional methods. The second part constitutes the in situ tests, where with the flux sensors and the application of the method, the effusivity of the ground can be estimated and thus the water content deduced.

KW - Effusivity

KW - Inverse methods

KW - Model identification

KW - Noninteger order

KW - Water content

UR - http://www.scopus.com/inward/record.url?scp=0038417181&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0038417181&partnerID=8YFLogxK

U2 - 10.1088/0957-0233/14/6/324

DO - 10.1088/0957-0233/14/6/324

M3 - Article

AN - SCOPUS:0038417181

VL - 14

SP - 868

EP - 874

JO - Measurement Science and Technology

JF - Measurement Science and Technology

SN - 0957-0233

IS - 6

ER -