Where Time Domain takes a hard right turn;
In airborne time-domain electromagnetic (AEM) data, the time decay constant or
t (tau) is not a fixed physical constant you look up in a table. Instead, it is a calculated parameter derived directly from the measured off-time voltage decay of the transient electromagnetic signal.
The purpose of measurement of anything is to obtain a definitive "quantitative" answer. In TDEM there is NO definitive answer! What is the answer? Is TDEM playing with us?
I refer readers to an earlier post with the playful tiger cubs...
Decay Characteristics of Airborne Time-Domain Electromagnetic Data:
Where to find the Constant (TAU)
Where and How t (tau) is Found
1. Geophysical Survey Reports and Databases
• Tau values are typically found in the processed datasets, geophysics logistics/assessment reports, and map products (such as a TAU map or B-field/dB/dt profiles) delivered by the airborne contractor (e.g., Geotech VTEM, Fugro, CGG).
• They are presented as grid files, channel-specific columns in database tables (like Geosoft .gdb files), or contour maps showing conductivity/conductance variations.
2. Calculated from Time-Window (Time-Gate) Tables
• Tau is computed by fitting the measured secondary magnetic field or induced voltage (V(t) decay curve to an exponential function:
F(t)=Ae^(-t/tau)
• Specifically, tau represents the time it takes for the transient voltage to decay to 1/e (about 36.8% or 37%) of its initial or reference value (V_37).
• Contractors calculate it by:
• Fitting selected early, middle, or late off-time receiver channels (time gates) to a single exponential curve in semi-log space, where the slope equals -1/tau.
• Using semi-heuristic or weighted-average algorithms across specific time windows surrounding the V_37 drop-off point.
3. Theoretical Relationship tau = L/R
• For a discrete subsurface target modeled as an equivalent resistor-inductor (RL) circuit, tau is physically bound by the target's inductance (L) and resistance (R):
tau = L/R
A slow decay rate (high tau) indicates low resistance (high conductance/conductivity), pointing to strong bedrock conductors like massive sulfides. A fast decay rate (low tau) indicates high resistance or poor conductors (e.g., overburden, clay, or weak fracture zones).
- Geowizard