My plant was consistent . All shields were grounded at the entrance to the instrumentation racks.
We had two instruments that used dual shields. I'll describe them.
One was the reactor neutron monitors. A couple dozen cables carried signals from neutron detectrs adjacent the reactor to the instrument racks in the control room, a couple hundred feet.
Both shields of each cable were connected to chassis at the back of the instrument rack where the triaxial connector plugged in. (Amphenol RF series, 53175 to best of my alleged memory)
The long long cables running out to the reactor ran in dedicated 4 inch steel conduits .
That conduit was mounted with insulated clamps all the way to the reactor and grounded only at the control room end, to the bottom of the instrument rack. So it made an effective third electrostatic shield and being steel provided considerable magnetic shielding as well.
The outer shield of the triaxial cable ended at the reactor.
The inner shield of the triaxial cable became the outer skin of the neutron detector.
The detectors themselves were mounted on ceramic insulators.
So we had Morrison's "Faraday Shield" surrounding the detector and measurement system, just it was grounded not way out at the point of measurement but instead at the entrance to the instrument. It worked well.
The other instrument was a Foxboro magnetic flowmeter. It worked on the principle of voltage induced in a moving fluid by an AC magnetic field. Not unlike Tom Clancy's "Caterpillar Drive" in Red October.
It produced a zero to three or four millivolt AC signal at line frequency that had to be delivered faithfully to a receiver in the control room instrument rack , again a couple hundred feet away, traversing an electrically noisy power plant environment all that distance !
I didn't believe it could possibly work.
As best i recall ( i studied it because it was such a marvel , but this was 1971 and details fade - i'll do my best)
That instrument's cable had two signal conductors each with its own driven shield. Of course driven shields aren't grounded.
Those two shielded signal cables were surrounded as a pair by two more shields.
The inner of those two shields connected the flowmeter's internal shield to the receiving amplifier's guard .
The outer of them connected to the flowmeter's case to intercept capacitive ground currents keeping them out of the inner shield. (I think it was grounded only at that far end so as to not make a ground loop but i could be wrong)
That leaves only the driven shields.
Each of those was driven by a unity gain follower in the receiver to the same voltage as the signal wire it surrounded - thereby achieving Morrison's goal of no voltage between the signal wire and its shield.
Voila !
Amazingly it worked !
I admit though it was sophisticated , employing synchronous demodulation before i'd ever heard the term. So It had an adjustment for phase difference between AC power at the flowmeter and at its receiver. A testament to the designers (and physicists) of early 1960's.
Anyhow - there are the two examples of multi-shielded signals in my experience. Both were single point grounded.
My second one sounds rather like one you described
Leyden said:
but then i also have an outer shield independent and not connected to inner shield except where signal is grounded and the outer shield is also grounded at other end of cable.
and i can't quite remember what they did with outer shield at receiver.
Will search for an old Foxboro instruction manual.
I hope above helps.. Really it's only moral support, as advice goes it's overpriced at two cents.
"Believe in your basics" is the good advice. .
old jim