Kansas Geological Survey, Current Research in Earth Sciences, Bulletin 247,
part 1
Modeling Dielectric-constant Values of Geologic Materials: An Aid to Ground-penetrating Radar Data Collection and Interpretation
Table 4. Dielectric modeling results of the effect of water saturation on sandstones.
Model | Upper:Lower Water Saturation (%) |
Bulk Dielectric Constant (upper layer) |
Bulk Dielectric Constant (lower layer) |
Reflection Coefficient | TWT to Interface (ns) |
TWT for Entire Interval (ns) |
---|---|---|---|---|---|---|
1: Homogeneous sandstone (Fig. 6) |
10:10 | 4.04 | 4.04 | 0 | 6.70 | 13.39 |
10:15 | 4.04 | 4.62 | -0.0337 | 6.70 | 13.86 | |
10:20 | 4.04 | 5.24 | -0.0651 | 6.70 | 14.33 | |
10:25 | 4.04 | 5.90 | -0.0946 | 6.70 | 14.79 | |
10:30 | 4.04 | 6.60 | -0.1223 | 6.70 | 15.26 | |
10:35 | 4.04 | 7.34 | -0.1484 | 6.70 | 15.73 | |
10:40 | 4.04 | 8.12 | -0.1729 | 6.70 | 16.19 | |
10:45 | 4.04 | 8.93 | -0.1961 | 6.70 | 16.66 | |
10:50 | 4.04 | 9.79 | -0.2180 | 6.70 | 17.13 | |
10:55 | 4.04 | 10.69 | -0.2387 | 6.70 | 17.59 | |
10:60 | 4.04 | 11.62 | -0.2584 | 6.70 | 18.06 | |
10:65 | 4.04 | 12.59 | -0.2771 | 6.70 | 18.53 | |
10:70 | 4.04 | 13.61 | -0.2949 | 6.70 | 18.99 | |
10:80 | 4.04 | 15.75 | -0.3279 | 6.70 | 19.93 | |
10:90 | 4.04 | 18.05 | -0.3580 | 6.70 | 20.86 | |
10:100 | 4.04 | 20.51 | -0.3855 | 6.70 | 21.79 | |
2: Sandstone with variable porosity (Fig. 7) |
0:0 | 2.99 | 3.60 | -0.0464 | 5.76 | 12.09 |
5:5 | 3.49 | 3.91 | -0.0281 | 6.23 | 12.82 | |
10:10 | 4.04 | 4.23 | -0.0119 | 6.70 | 13.55 | |
15:15 | 4.62 | 4.57 | 0.0028 | 7.16 | 14.29 | |
20:20 | 5.24 | 4.92 | 0.0159 | 7.63 | 15.02 | |
25:25 | 5.90 | 5.28 | 0.0279 | 8.10 | 15.75 | |
30:30 | 6.60 | 5.65 | 0.0388 | 8.56 | 16.49 | |
35:35 | 7.34 | 6.04 | 0.0487 | 9.03 | 17.22 | |
40:40 | 8.12 | 6.44 | 0.0579 | 9.50 | 17.95 | |
45:45 | 8.93 | 6.85 | 0.0663 | 9.96 | 18.69 | |
50:50 | 9.79 | 7.27 | 0.0741 | 10.43 | 19.42 | |
60:60 | 11.62 | 8.16 | 0.0881 | 11.36 | 20.89 | |
70:70 | 13.61 | 9.10 | 0.1002 | 12.30 | 22.35 | |
80:80 | 15.75 | 10.09 | 0.1108 | 13.23 | 23.82 | |
90:90 | 18.05 | 11.14 | 0.1202 | 14.16 | 25.29 | |
100:100 | 20.51 | 12.23 | 0.1286 | 15.10 | 26.75 | |
3: Sandstone with variable lithology and porosity (Fig. 8) |
0:0 | 2.99 | 4.10 | -0.0791 | 5.76 | 12.52 |
5:5 | 3.49 | 4.43 | -0.0596 | 6.23 | 13.25 | |
10:10 | 4.04 | 4.78 | -0.0422 | 6.70 | 13.98 | |
15:15 | 4.62 | 5.13 | -0.0265 | 7.16 | 14.72 | |
20:20 | 5.24 | 5.50 | -0.0123 | 7.63 | 15.45 | |
25:25 | 5.90 | 5.88 | 0.0006 | 8.10 | 16.18 | |
30:30 | 6.60 | 6.28 | 0.0124 | 8.56 | 6.92 | |
35:35 | 7.34 | 6.69 | 0.0232 | 9.03 | 17.65 | |
40:40 | 8.12 | 7.11 | 0.0332 | 9.50 | 18.38 | |
45:45 | 8.93 | 7.54 | 0.0424 | 9.96 | 19.12 | |
50:50 | 9.79 | 7.99 | 0.0509 | 10.43 | 19.85 | |
60:60 | 11.62 | 8.92 | 0.0661 | 11.36 | 21.32 | |
70:70 | 13.61 | 9.90 | 0.0794 | 12.30 | 22.78 | |
80:80 | 15.75 | 10.93 | 0.0911 | 13.23 | 24.25 | |
90:90 | 18.05 | 12.01 | 0.1015 | 14.16 | 25.72 | |
100:100 | 20.51 | 13.15 | 0.1107 | 15.10 | 27.18 |