HOME HELP FEEDBACK SUBSCRIPTIONS ARCHIVE SEARCH TABLE OF CONTENTS		QUICK SEARCH:   [advanced] Author: Keyword(s): Year:  Vol:  Page:

This Article Abstract Full Text Free Full Text (PDF) Free Alert me when this article is cited Alert me if a correction is posted Services Similar articles in this journal Similar articles in ISI Web of Science Alert me to new issues of the journal Download to citation manager Citing Articles Citing Articles via HighWire Citing Articles via ISI Web of Science (2) Citing Articles via Google Scholar Google Scholar Articles by Bolvin, H. Articles by Chanzy, A. Search for Related Content PubMed Articles by Bolvin, H. Articles by Chanzy, A. Agricola Articles by Bolvin, H. Articles by Chanzy, A. Related Collections Structure and Properties Other Geophysical Methods Numerical Solutions

Three-Dimensional Numerical Modeling of a Capacitance Probe

Application to Measurement Interpretation

^a Complex Hydrodynamics Lab., 33 rue Louis Pasteur, F-84000 Avignon, France
^b INRA– Climate, Sol, Environment, Domaine Saint Paul, F-84914 Avignon Cedex, France

View larger version (19K): [in a new window]   Fig. 1. Geometrical shape of the capacitance probe used in the simulations (Fig. 1 is not drawn to scale to improve clarity of the drawing).

View larger version (96K): [in a new window]   Fig. 2. Cartography of the electrical potential V(x,y,z) in the XZ vertical plane.

View larger version (12K): [in a new window]   Fig. 3. Effective dielectric constant in ethanol with a toroidal inclusion. The dots correspond to the values measured, and the curve corresponds to simulation.

View larger version (13K): [in a new window]   Fig. 4. Effective dielectric constant in ethanol with a thermoretractable sheath around the central electrode. The dots correspond to the values measured, and the curve corresponds to simulation.

View larger version (12K): [in a new window]   Fig. 5. Variations of the effective dielectric constant obtained by axially symmetrical simulation (•) and by three-dimensional simulation () when the fraction of toroidal inclusion is located in a homogeneous medium.

View larger version (14K): [in a new window]   Fig. 6. Effective dielectric constant as a function of dipping depth in ethanol in the two cases of vertical and horizontal installation of the capacitance probe. The dots correspond to the values measured, and the curve corresponds to simulation.

View larger version (22K): [in a new window]   Fig. 7. Domains in the XZ plane, corresponding respectively to the integral of the weighting function equal to 0.90, 0.95, and 0.99 in the case of a homogeneous medium (r = 1). (Fig. 7 is not drawn to scale to improve clarity of the drawing).

View larger version (22K): [in a new window]   Fig. 8. Domains in the XZ plane, corresponding respectively to the integral of the weighting function equal to 0.99 in the case of different homogeneous medium (r = 1, 25, 81).

View larger version (23K): [in a new window]   Fig. 9. Domains in the XZ plane corresponding to the integral of the weighting function equal to 0.95, in the case of a vertical insertion of the probe with two different values of dipping depth in the soil.