Alan,
I was intrigued to see Rich’s name again after I have just included it in a 
review I am doing on data processing in Australia.
As I ran Geometrics in Australia I know we certainly used the reduction in 
spacing that appeared to be the case, as a selling point for horizontal 
gradient flying but I don’t know about the proof that it was exactly halved. It 
did seem to be true in reality.
Because I just had correspondence with Ian Lilly who worked for Geometrics and 
liased with Rich and was much closer to the processing than I was, below is 
Ian’s reply to my asking if he knew the whereabouts of the proof. (The 'pencil 
and paper' seems right for Rich)

I remember Rich doing the proof in pencil on a yellow pad during one of my 
visits to Sunnyvale. I have a very vague and possibly faulty recollection that 
geoMetrics published a simplified version in something like a tech note when 
they were trying to garner interest in gradiometers.

I am not aware of the “tech note” (anymore, at least!).
Maybe someone in Geometrics or Dick Wold, who was involved at the time, knows 
more.

I hope you can track it down.
Regards
Roger Henderson

> On 19 Feb 2019, at 7:45 pm, Alan Reid via SEGMIN <[email protected]> 
> wrote:
> 
> Dear GrvMag and SEGMin listers
> 
> I’m addressing both lists because the matter concerns both…
> 
> Years ago, the late great Richard Hansen told me he’d proved that, for a 
> conventional airborne magnetic total field survey, cross-line gradient 
> measurements gave you the equivalent of halving the line spacing. The proof 
> was for noise-free data, but hey, it's an indication of a usefulness that’s 
> widely recognised and exploited.
> 
> I subsequently asked Richard for his proof and he’d lost it, but he re-proved 
> it another way. Regrettably, I’ve now also lost that proof. And Richard is no 
> longer available to ask……  Hence the enquiry and the challenge.
> 
> 1. Does anyone know of a published proof?  If so, please may we have the 
> reference (and even maybe a link to a pdf?
> 
> 2. If not, does anyone have a proof they’d be prepared to offer for 
> publication. I’d happily welcome it to “Geophysical Prospecting”, and I’m 
> sure “Geophysics” and some other journals would be equally welcoming.
> 
> 3. If neither of the above, the challenge is to produce a proof. It’d make a 
> decent basis for an MSc,  a pretty chapter in a PhD, and/or a worthwhile 
> paper. From a personal perspective, it’d also “complete” the survey design 
> criteria I published in 1980. 
> 
> Regards
> 
> Alan B Reid PhD
> Reid Geophysics Ltd
> 7 Keymer House
> Michel Grove
> Eastbourne BN21 1JZ
> UK
> 
> Phone: +44 (0) 1323 735520
> Mobile: +44 (0) 781 692 4728
> Skype Name: alanbarryreid
> mailto: [email protected]
> web: http://www.reid-geophys.co.uk
> 
> 
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