Geology Foreland Basin Flexural Subsidence Calculator
Infinite elastic beam/plate strip on linear buoyant foundation under line load; signed forebulge retained, not local Airy compensation. Caller independently establishes matching units, evidence, method edition and applicability; output is not compliance, diagnosis, work-safety approval, geological identity or validated hazard prediction.
Description
A line-load flexural model describes deflection of an elastic plate supported by a restoring foundation.
A line-load flexural model describes deflection of an elastic plate supported by a restoring foundation.1
Its decaying oscillatory response can include a forebulge, so negative modeled displacement is not automatically an error. Use this tool to calculate foreland basin flexural subsidence from the supplied measurements and assumptions.
When to use Geology Foreland Basin Flexural Subsidence Calculator
Use this tool to calculate foreland basin flexural subsidence from the supplied measurements and assumptions. Establish the measurement units, sampled interval, calibration or model edition and geological assumptions before entering data.
How to use Geology Foreland Basin Flexural Subsidence Calculator and understand its results
- Establish the measurement units, sampled interval, calibration or model edition and geological assumptions before entering data.
- Enter lineLoadNPerM, flexuralRigidityNM, foundationStiffnessNPerM3, distancesM, using the field meanings and rules below, then run the tool.
- Read deflectionsM. Interpret the fields using their units, signs and evidence conventions below.
- If input validation fails, correct the reported field and run again. Before applying the result, check reference scope, model assumptions and any missing evidence or placeholder values.
| Input field | Meaning | Value type | Requirement |
|---|---|---|---|
| lineLoadNPerM | Line load n per m | number | Required |
| flexuralRigidityNM | Flexural rigidity n m | number | Required |
| foundationStiffnessNPerM3 | Foundation stiffness n per m3 | number | Required |
| distancesM | Distances m | list of number | Required |
Require nonnegative line load and distances, positive flexural rigidity and foundation stiffness on the field units. Compute flexural length alpha=(4D/k)^(1/4) and evaluate the decaying cosine-plus-sine response at every distance. Return signed meters; oscillatory negative displacement is retained. No finite basin geometry or spatially varying stiffness is modeled.
alpha=(4D/k)^(1/4); w(x)=Q/(2k alpha)×exp(−x/alpha)×[cos(x/alpha)+sin(x/alpha)] Use the exact units, boundary rules, ordering and missing-evidence conventions above.
| Output field | Meaning | Value type |
|---|---|---|
| deflectionsM | Deflections M; follow the units, sign, ordering and evidence convention stated above | list of number |
{
"input": {
"lineLoadNPerM": 8,
"flexuralRigidityNM": 1,
"foundationStiffnessNPerM3": 4,
"distancesM": [
0,
1
]
},
"output": {
"deflectionsM": [
1,
0.5083259859995252
]
}
}Limitations and assumptions
Its decaying oscillatory response can include a forebulge, so negative modeled displacement is not automatically an error. Interpretation depends on the units, sampling scope and exact model described above.
All listed fields require explicit values. Unexpected fields, incorrect types, nonfinite numbers and sparse evidence arrays fail validation; the specific bounds and alignment requirements are stated above. Extremely large inputs or outputs can also be rejected. An input error is distinct from a successful result reporting false, no matches or missing evidence.
Alternative or Complementary methods
Use Geology Subsidence Bowl Volume Calculator for this related task: An axisymmetric subsidence bowl can be integrated from radial displacement measurements.
Use Geology Geomechanics Landslide Factor Of Safety Janbu Calculator when its separate inputs and assumptions fit the question: A Janbu simplified analysis balances forces for independently specified slices of a potential slip mass.
References
Similar or alternative tools
- Geology Subsidence Bowl Volume Calculator
An axisymmetric subsidence bowl can be integrated from radial displacement measurements.
- Geology Geomechanics Landslide Factor Of Safety Janbu Calculator
A Janbu simplified analysis balances forces for independently specified slices of a potential slip mass.