Ring Dike Thickness Estimate
Invert a full circular vertical ring-dike volume to radial thickness with a cancellation-safe annulus inversion; assumes uniform extent and complete ring, not a fault-stress estimate.
Description
A vertical ring dike occupies an annulus around an inner radius.
A vertical ring dike occupies an annulus around an inner radius. Dividing intrusion volume by height gives the annular area.
Invert a full circular vertical ring-dike volume to radial thickness with a cancellation-safe annulus inversion; assumes uniform extent and complete ring, not a fault-stress estimate.
When to use Ring Dike Thickness Estimate
Use this tool to invert a full circular vertical ring-dike volume to radial thickness with a cancellation-safe annulus inversion; assumes uniform extent and complete ring, not a fault-stress estimate.
Gather the relevant observations and fitted model parameters. Use the stated units and time basis; keep paired observations aligned.
How to use Ring Dike Thickness Estimate and understand its results
- Gather the relevant observations and fitted model parameters. Use the stated units and time basis; keep paired observations aligned.
- Enter ringDikeIntrusionVolumeM3, innerRingRadiusM, intrusionVerticalExtentM using the field table and calculation rules, then run the tool.
- Read inferredRadialDikeThicknessM. The explanation below defines the units, signs, ordering and any flags or placeholder values.
- If the tool reports an input issue, correct the values and run it again. Apply the stated assumptions when interpreting a successfully returned result.
| Input field | Meaning | Value type; see rules below | Requirement |
|---|---|---|---|
| ringDikeIntrusionVolumeM3 | Ring dike intrusion volume m3 | number | Required |
| innerRingRadiusM | Inner ring radius m | number | Required |
| intrusionVerticalExtentM | Intrusion vertical extent m | number | Required |
Use positive vertical extent and nonnegative volume and inner radius. Evaluate the equivalent rationalized expression to avoid cancellation for a thin ring; zero volume returns zero thickness.1
thickness = sqrt(inner radius² + volume/(πheight)) − inner radius Units, indexing, boundary conditions and exceptional cases are defined in the calculation rules above.
| Output field | Meaning | Value type |
|---|---|---|
| inferredRadialDikeThicknessM | Inferred radial dike thickness m | number |
{
"input": {
"ringDikeIntrusionVolumeM3": 659.7344572538566,
"innerRingRadiusM": 10,
"intrusionVerticalExtentM": 1
},
"output": {
"inferredRadialDikeThicknessM": 7.606816861659009
}
}Limitations and assumptions
A complete circular ring of uniform height and thickness is assumed; fault stresses are excluded.
Numbers and computed results must be finite; overflow produces an error. Missing required fields, extra fields, wrong value types and violations of the calculation rules are input errors.
Alternative or Complementary methods
Use Caldera Collapse Volume Ring Fault: Calculate annular caldera subsidence geometry and independently supplied fill reduction; collapse void is not automatically erupted magma withdrawal and no ring-fault displacement model or mapping. For a complementary task, use Lava Flow Volume Effusion Duration: Integrate piecewise dense-magma discharge into DRE and separately expanded emplaced bulk lava volume; unlike survey-rate inference, flow is a supplied forward boundary condition.
References
-
Ring Dike Thickness Estimate — tool.io
Similar or alternative tools
- Caldera Collapse Volume Ring Fault
Calculate annular caldera subsidence geometry and independently supplied fill reduction; collapse void is not automatically erupted magma withdrawal and no ring-fault displacement model or mapping.
- Lava Flow Volume Effusion Duration
Integrate piecewise dense-magma discharge into DRE and separately expanded emplaced bulk lava volume; unlike survey-rate inference, flow is a supplied forward boundary condition.