On: “A Kalman filter approach to susceptibility mapping” by Mark Pilkington and D. J. Crossley (GEOPHYSICS, 52, 655–664, May 1987).
A single anomaly may be exactly satisfied by a single, constant, magnetization contrast. (“Magnetization” proves to be a much more effective unit to use than “susceptibility.”) These contrasting bodies have discrete boundaries, so the distribution of magnetization shows abrupt discontinuities between adjacent bodies with uniform, single values. Field studies confirm this habit. So to show “apparent susceptibilities” (i.e., Figure 9) as a continuously varying “potential” field may be correct, depending upon the definition of “apparent,” but it is not an accurate nor even helpful exercise. (Try to imagine this process operated over a gravity field in a salt dome province with densities varying continuously within salt which, as is well known, stay remarkably constant at 2.2 g/cc.)