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Acoustic Tomography Applied to Water Flow in Unsaturated Soils

Andreas Blum*,a, Ivo Flammera, Thomas Friedlib and Peter Germanna

a Institute of Geography of the University of Bern, Hallerstr.12, CH-3012 Bern, Switzerland
b Department of Mathematical Statistics and Actuarial Science, Sidlerstr. 5, CH-3012 Bern, Switzerland



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Fig. 1. Experimental set-up of acoustic tomography and rainfall simulator.

 


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Fig. 2. Schematic view of a transducer.

 


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Fig. 3. (a) Mounting rack, (b) transducer rack, and (c) guide rail.

 


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Fig. 4. Exiting pulse (gray) which drove the source transducer to emit an acoustical signal and a typical acoustic signal received (black) with the transducer.

 


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Fig. 5. Configuration of the 25 grids and 31 ray paths.

 


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Fig. 6. {theta}TDR(t) measured with TDR probe during Runs 1 and 2.

 


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Fig. 7. Contour plots which show the acoustic velocity variation 20 min after the first (left panel) and second infiltration (right panel).

 


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Fig. 8. Calibration of the water content. The maximum and minimum acoustic grid velocities (G14 and G23) as well as the acoustic grid velocities of G2, G15, G17, and G24 are represented.

 


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Fig. 9. {theta}(t) of G2: (a, b) Run 1 and (c, d) Run 2. Both runs are examples of Class 1.

 


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Fig. 10. {theta}(t) of G15: (a, b) Run 1, which is an example of Class 2, and (c, d) Run 2, which is an example of Class 1.

 


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Fig. 11. {theta}(t) of G17: (a, b) Run 1 and (c, d) Run 2. Both runs are examples of Class 3.

 


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Fig. 12. {theta}(t) of G24: (a, b) Run 1, which is an example of Class 3, and (c, d) Run 2, which is an example of Class 1.

 





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