Edge detection and depth estimates application to pseudogravity and reduced to pole results part i
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Edge Detection and Depth Estimates – Application to Pseudogravity and Reduced to Pole Results: Part I. Edge detection on an oversampled synthetic anomaly with no additional noise Comparing Horizontal Gradient, Total Gradient (Analytic Signal), and Local Wavenumber.

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Edge detection on an oversampled synthetic anomaly with no additional noise

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Edge detection and depth estimates application to pseudogravity and reduced to pole results part i

Edge Detection and Depth Estimates – Application to Pseudogravity and Reduced to Pole Results: Part I

Edge detection on an oversampled synthetic anomaly with no additional noise

Comparing Horizontal Gradient, Total Gradient (Analytic Signal), and Local Wavenumber


Edge detection on an oversampled synthetic anomaly with no additional noise

Magnetic anomaly calculated for 1.5 meters above the ground surface. Dimensions are kilometers, sampling interval is 400 meters, contour interval is 10 nT, inclination = 68o.

  • Subsurface model:

  • Minimum depth is 250 meters, maximum is 3.35 kilometers

  • Magnetic susceptibility is constant and positive with no remanent magnetization


Edge detection on an oversampled synthetic anomaly with no additional noise

The Model from Different Perspectives

  • East-west faults get deeper and have less throw along strike from the center as they traverse from edge to edge of the model area

  • The north-south fault gets deeper to the south but the throw is constant

  • The long wavelength shape is that of a truncated dome.


Edge detection on an oversampled synthetic anomaly with no additional noise

Total field anomaly;inclination = 68o

Reduced to pole anomaly


Edge detection on an oversampled synthetic anomaly with no additional noise

Reduced to pole anomaly (RTP)

Horizontal Gradient of the RTP anomaly


Edge detection on an oversampled synthetic anomaly with no additional noise

Maxima of the Horizontal Gradient of the RTP anomaly

Maxima of the Horizontal Gradient of the RTP anomaly overlain on the source model


Edge detection on an oversampled synthetic anomaly with no additional noise

Reduced to pole anomaly (RTP)

Total Gradient (Analytic Signal) of the RTP anomaly


Edge detection on an oversampled synthetic anomaly with no additional noise

Maxima of the Total Gradient of the RTP anomaly overlain on the source model

Maxima of the Total Gradient of the RTP anomaly


Edge detection on an oversampled synthetic anomaly with no additional noise

Reduced to pole anomaly (RTP)

Local Wavenumber of the RTP anomaly


Edge detection on an oversampled synthetic anomaly with no additional noise

Maxima of the Local Wavenumber of the RTP anomaly

Maxima of the Local Wavenumber of the RTP anomaly overlain on the source model


Edge detection on an oversampled synthetic anomaly with no additional noise

Total field anomaly (inc = 68o)

Pseudogravity (Vertical Integral of RTP)


Edge detection on an oversampled synthetic anomaly with no additional noise

Pseudogravity

Horizontal Gradient of the Pseudogravity


Edge detection on an oversampled synthetic anomaly with no additional noise

Maxima of the Horizontal Gradient of the Pseudogravity

Maxima of the Horizontal Gradient of the Pseudogravity overlain on the source model


Edge detection on an oversampled synthetic anomaly with no additional noise

Total Gradient (Analytic Signal) of the Pseudogravity

Pseudogravity


Edge detection on an oversampled synthetic anomaly with no additional noise

Maxima of the Total Gradient of the Pseudogravity

Maxima of the Total Gradient of the Pseudogravity overlain on the source model


Edge detection on an oversampled synthetic anomaly with no additional noise

Pseudogravity

Local Wavenumber of the Pseudogravity


Edge detection on an oversampled synthetic anomaly with no additional noise

Maxima of the Local Wavenumber of the Pseudogravity

Maxima of the Local Wavenumber of the Pseudogravity overlain on the source model


Edge detection on an oversampled synthetic anomaly with no additional noise

The Model from Different Perspectives

  • East-west faults get deeper and have less throw along strike from the center but go from edge to edge of the model area

  • The north-south fault gets deeper to the south but the throw is constant

  • The long wavelength shape is that of a truncated dome.


Edge detection on an oversampled synthetic anomaly with no additional noise

All Maxima; Analysis on Pseudogravity

All Maxima; Analysis on RTP

  • Maxima from the methods: Blue = HGM; Green = AS; Magenta = LWN

  • For each case, operating on the pseudogravity (vertical integration of RTP) results in fewer spurious results; vertical integration is a low-pass operator.

  • East-west faults run edge to edge and get deeper away from the center; only the LWN maxima trace faults continuously to the edges on both PSG and RTP.

  • Only HGM on PSG gives insight into the curved nature of the main dome.


Edge detection on an oversampled synthetic anomaly with no additional noise

Top Four Quintiles of Gradient Maxima From the Pseudogravity

Classed post map of the four upper quintiles of the combined results of HGM, AS, and LWN analysis of the pseudogravity (purple, blue, green, and red in order of increasing significance).


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