234
9 High-Dimension Model Representation via Sparse GridTechniques
Fig. 9.16 Comparison of interpolated results at 81 arbitrarily selected points with the fourdimensional TASMANIAN grid at level 8 (continued)
Fig. 9.17 Comparison of interpolated results at 81 arbitrarily selected points with the fourdimensional TASMANIAN grid at level 8 (continued)
Scaling may be a contributing factor to the occasionally poor fit of the real part,
since the real part is much smaller than the imaginary, but it is also likely that the
real and imaginary parts vary differently over this rather large range of the variables
in physical space, which may contribute to the challenge of accurately interpolating
each component.
Figure 9.24 shows the VIC-3D ® model response of Fig. 6.4 when block 2 is
varied in depth from 0 to 20 mils in four equal intervals, and the other blocks remain
fixed at the values shown. Figure 9.25 shows a fourth-order polynomial fit to the
peak values of the impedance data of Fig. 9.24, and Table 9.5 lists the coefficients
9 High-Dimension Model Representation via Sparse GridTechniques
Fig. 9.16 Comparison of interpolated results at 81 arbitrarily selected points with the fourdimensional TASMANIAN grid at level 8 (continued)
Fig. 9.17 Comparison of interpolated results at 81 arbitrarily selected points with the fourdimensional TASMANIAN grid at level 8 (continued)
Scaling may be a contributing factor to the occasionally poor fit of the real part,
since the real part is much smaller than the imaginary, but it is also likely that the
real and imaginary parts vary differently over this rather large range of the variables
in physical space, which may contribute to the challenge of accurately interpolating
each component.
Figure 9.24 shows the VIC-3D ® model response of Fig. 6.4 when block 2 is
varied in depth from 0 to 20 mils in four equal intervals, and the other blocks remain
fixed at the values shown. Figure 9.25 shows a fourth-order polynomial fit to the
peak values of the impedance data of Fig. 9.24, and Table 9.5 lists the coefficients