Resistivity Anomaly Depth Estimate

Independently site/array/geometry-matched resistivity response/depth calibration, not depth from universal amplitude factor. Matched piecewise-linear observational calibration with no extrapolation. Caller independently establishes sample/context/calibration applicability; not definitive chronology, provenance, taxonomy, disease or human identity.

Description

Geophysical depth inference requires a matched response calibration.

Geophysical depth inference requires a matched response calibration.^[1]

Interpolation alone does not perform resistivity inversion or identify an archaeological structure. Use Resistivity Anomaly Depth Estimate to interpolate the supplied calibration.

When to use Resistivity Anomaly Depth Estimate

Use Resistivity Anomaly Depth Estimate to interpolate the supplied calibration. Choose a matched calibration, establish both axis units and supply strictly increasing sampled coordinates covering the query.

How to use Resistivity Anomaly Depth Estimate and understand its results

Choose a matched calibration, establish both axis units and supply strictly increasing sampled coordinates covering the query.
Enter Observed resistivity anomaly depth coordinates, Independently matched resistivity anomaly depth responses, Query resistivity anomaly depth coordinate using the field table and validation rules below, then run the tool.
Read Interpolated response, Local observed slope; interpret the units, signs, ordering and unknown-value placeholders described below.
Correct reported input errors and rerun. Apply successful results according to their specific meanings and check the assumptions before using them in a decision.

Input field	Meaning	Value type	Requirement
observedResistivityAnomalyDepthCoordinates	Observed resistivity anomaly depth coordinates	array of number	Required; constraints below
independentlyMatchedResistivityAnomalyDepthResponses	Independently matched resistivity anomaly depth responses	array of number	Required; constraints below
queryResistivityAnomalyDepthCoordinate	Query resistivity anomaly depth coordinate	number	Required; constraints below

Provide at least two aligned finite coordinates and responses, with strictly increasing coordinates, and query within the closed sampled range. The tool locates the segment, linearly interpolates its response and returns its response-per-coordinate slope. At an interior sample it uses the segment to the right; at the final endpoint it uses the last segment. Units come from the supplied calibration. No extrapolation or built-in time, temperature or performance table is supplied.

slope = (y[i+1]−y[i])/(x[i+1]−x[i]); response = y[i]+slope×(query−x[i])

Use the field order, units and branch conditions described above.

Output field	Meaning	Value type
interpolatedResponse	Response interpolated in the caller’s response-axis units.	number
localObservedSlope	Response-axis units per coordinate-axis unit on the selected segment.	number

json

{
  "input": {
    "observedResistivityAnomalyDepthCoordinates": [
      1,
      2,
      3
    ],
    "independentlyMatchedResistivityAnomalyDepthResponses": [
      2,
      4,
      8
    ],
    "queryResistivityAnomalyDepthCoordinate": 2.5
  },
  "output": {
    "interpolatedResponse": 6,
    "localObservedSlope": 4
  }
}

Limitations and assumptions

Interpolation alone does not perform resistivity inversion or identify an archaeological structure. Apply the exact scope and assumptions explained above.

All listed fields require explicit values. Unexpected fields, incorrect types, nonfinite numbers and sparse arrays fail validation. Domain-specific bounds, alignments and supported tokens are explained above; extremely large inputs or outputs can also be rejected. Input errors differ from successful false results, empty match lists and unknown-evidence placeholders.

Alternative or Complementary methods

Use Magnetometer Dipole Strength nT Tool for a related task: An axial dipole model connects field strength, distance and medium permeability.

Use Archaeomagnetic Date Lookup for a related task: Archaeomagnetic matching compares directions under a common frame and dated reference.

References

Resistivity Anomaly Depth Estimate — tool.io

Similar or alternative tools

Magnetometer Dipole Strength nT Tool
An axial dipole model connects field strength, distance and medium permeability.
Archaeomagnetic Date Lookup
Archaeomagnetic matching compares directions under a common frame and dated reference.