Project Tool: Rock mass classification using borehole optical televiewer (OPTV)-derived discontinuity data
Specification & Integration Verification
F6 Composition for Rock mass classification using borehole optical televiewer (OPTV)-derived discontinuity data
● Not Golden Verified● Project Trust VerifiedRunnable: 0 / 3 steps
VERIFIED SCOPE
○ Compute 3D plane orientation from cylindrical borehole coordinates CALCULATIONManual Workflow
○ Invert trace frequency to volumetric spacing under Poisson assumption CALCULATIONManual Workflow
○ Sum ISRM/Bieniawski RMR component ratings CALCULATIONManual Workflow
⚠ This tool does not currently verify OPTV geometric rectification and radiometric no..., Multi-scale discontinuity trace segmentation, Borehole-constrained 3D orientation derivation, Image-derived discontinuity persistence and dip..., Texture-based discontinuity roughness quantific..., Multi-index rock mass classification engine, Classification index deviation quantification a....
PROJECT INPUTS
Runnable deterministic steps: 0 / 3. Enter the project conditions used by this verification workflow. Prefilled values (10/11 inputs) are demonstration inputs, not recommended design values.
01Step 1: Compute 3D plane orientation from cylindrical borehole co...Manual Workflow
deg
deg
deg
px/deg
02Step 2: Invert trace frequency to volumetric spacing under Poisso...Manual Workflow
m
03Step 3: Sum ISRM/Bieniawski RMR component ratingsManual Workflow
points
points
points
points
points
points
⚠ Runnable deterministic steps: 0 / 3. Steps marked "Input Required" or "Example Input Required" need user-provided engineering values before calculation.
ENGINEERING WORKFLOW GUIDE
This workflow contains no executable calculation steps. Review the engineering methods below.
⚠
RECALCULATION REQUIRED
Inputs have changed since the last verification. Run Engineering Verification again to update the results.
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Step 1: Compute 3D plane orientation from cylindrical borehole coordinates — Uses spherical trigonometry to map a point on a tilted, oriented cylinder (borehole wall) to the normal vector of the discontinuity plane intersecting it; assumes linear trace approximation and orthogonal camera projection. Dip δ is computed as the complement of the angle between the borehole axis and the plane normal; dip direction α is derived via vector cross-product and atan2-based quadrant resolution in geographic N-E-D frame.
Step 2: Invert trace frequency to volumetric spacing under Poisson assumption — For a Poisson set of infinite, randomly oriented planar discontinuities, the expected number of intersections per unit length along a linear sample (borehole) equals 2 / S_v. Thus S_v = 2 / λ, where λ = n / L is the trace intensity (traces/m). This is the standard Terzaghi correction for unbiased spacing estimation from scanline data.
Step 3: Sum ISRM/Bieniawski RMR component ratings — Deterministic summation of six independent component scores defined in Bieniawski (1989): (1) UCS of intact rock, (2) discontinuity spacing, (3) discontinuity condition (roughness + aperture + infilling), (4) discontinuity orientation, (5) groundwater conditions, (6) adjustment for joint orientation. Here, orientation adjustment is assumed applied separately; this tool sums the five measurable parameters plus groundwater.
Golden Coverage: 0 / 3 steps verified with deterministic test cases.
Step 1: Compute 3D plane orientation from cylindrical borehole coordinates — ○ Not Golden Verified
Step 2: Invert trace frequency to volumetric spacing under Poisson assumption — ○ Not Golden Verified
Step 3: Sum ISRM/Bieniawski RMR component ratings — ○ Not Golden Verified
Step 1 (Compute 3D plane orientation from cylindrical borehole coordinates): No acceptance criterion implemented — result is CALCULATED only.
Step 2 (Invert trace frequency to volumetric spacing under Poisson assumption): No acceptance criterion implemented — result is CALCULATED only.
Step 3 (Sum ISRM/Bieniawski RMR component ratings): No acceptance criterion implemented — result is CALCULATED only.
OPTV geometric rectification and radiometric normalization: Not implemented.
Multi-scale discontinuity trace segmentation: Not implemented.
Borehole-constrained 3D orientation derivation: Not implemented.
Image-derived discontinuity persistence and dip-corrected length estimation: Not implemented.
Texture-based discontinuity roughness quantification (JRC proxy): Not implemented.
Multi-index rock mass classification engine: Not implemented.
Classification index deviation quantification and confidence scoring: Not implemented.
SCOPE & LIMITATIONS
NOT CURRENTLY VERIFIED
○ OPTV geometric rectification and radiometric normalization
○ Multi-scale discontinuity trace segmentation
○ Borehole-constrained 3D orientation derivation
○ Image-derived discontinuity persistence and dip-corrected length estimation
○ Classification index deviation quantification and confidence scoring
These capabilities are outside the current verified workflow.
Engineering Verification Summary
HOW THIS VERIFICATION WORKS
Step 1: Compute 3D plane orientation from cylindrical borehole coordinates — engineering workflow step. Follow the documented method for manual execution.
Step 2: Invert trace frequency to volumetric spacing under Poisson assumption — engineering workflow step. Follow the documented method for manual execution.
Step 3: Sum ISRM/Bieniawski RMR component ratings — engineering workflow step. Follow the documented method for manual execution.
This tool coordinates 0 validation steps and 3 calculation steps. The overall engineering decision uses ALL_REQUIRED_VALIDATION_PASS aggregation: only validation steps contribute to the pass/fail outcome; calculation steps produce data only.
METHODS & EQUATIONS
All formulas are resolved from canonical runtime definitions and executed deterministically by the client-side engine.
Step 1: Compute 3D plane orientation from cylindrical borehole coordinates
Manual Workflow
Uses spherical trigonometry to map a point on a tilted, oriented cylinder (borehole wall) to the normal vector of the discontinuity plane intersecting it; assumes linear trace approximation and orthogonal camera projection. Dip δ is computed as the complement of the angle between the borehole axis and the plane normal; dip direction α is derived via vector cross-product and atan2-based quadrant resolution in geographic N-E-D frame.
Step 2: Invert trace frequency to volumetric spacing under Poisson assumption
Manual Workflow
For a Poisson set of infinite, randomly oriented planar discontinuities, the expected number of intersections per unit length along a linear sample (borehole) equals 2 / S_v. Thus S_v = 2 / λ, where λ = n / L is the trace intensity (traces/m). This is the standard Terzaghi correction for unbiased spacing estimation from scanline data.
Step 3: Sum ISRM/Bieniawski RMR component ratings
Manual Workflow
Deterministic summation of six independent component scores defined in Bieniawski (1989): (1) UCS of intact rock, (2) discontinuity spacing, (3) discontinuity condition (roughness + aperture + infilling), (4) discontinuity orientation, (5) groundwater conditions, (6) adjustment for joint orientation. Here, orientation adjustment is assumed applied separately; this tool sums the five measurable parameters plus groundwater.
UNDERSTANDING THE RESULTS
PASS
A proven validation criterion passed. The engineering input satisfies the deterministic threshold.
FAIL
A proven validation criterion failed. The engineering input does not satisfy the deterministic threshold.
CALCULATED
A deterministic calculation completed, but no acceptance criterion exists for this step. CALCULATED does NOT mean PASS.
RESULT NOT VALID
Runtime executed but engineering validity requirements were not met.
INCOMPLETE
Required inputs or workflow steps are incomplete.
The overall decision reflects only validation steps. Calculation steps produce numerical results without pass/fail claims.
WHEN TO USE THIS TOOL
When deterministic Borehole Optical Televiewer engineering verification is needed for project-specific conditions.
For calculation of Compute 3D plane orientation from cylindrical borehole coordinates (Step 1).
For calculation of Invert trace frequency to volumetric spacing under Poisson assumption (Step 2).
For calculation of Sum ISRM/Bieniawski RMR component ratings (Step 3).
For deterministic pre-checks before formal engineering review or submission.
When NOT to use this tool: This tool does not replace laboratory testing, formal engineering analysis by a licensed professional, or code-compliance certification. It performs deterministic threshold comparison and calculation only.
ENGINEERING FAQ
What does this verification tool check?
This tool performs 3 deterministic engineering steps: (1) Compute 3D plane orientation from cylindrical borehole coordinates, (2) Invert trace frequency to volumetric spacing under Poisson assumption, (3) Sum ISRM/Bieniawski RMR component ratings.
What does a CALCULATED result mean?
A CALCULATED result means the deterministic calculation completed, but no acceptance criterion is applied to this step. CALCULATED does NOT mean PASS.
What is not currently verified by this workflow?
Capabilities not currently verified include: OPTV geometric rectification and radiometric normalization, Multi-scale discontinuity trace segmentation, Borehole-constrained 3D orientation derivation, Image-derived discontinuity persistence and dip-corrected length estimation, Texture-based discontinuity roughness quantification (JRC proxy).
How many steps are golden verified?
0 out of 3 steps have been verified with deterministic golden test cases.
COMPONENT TOOLS
This workflow currently contains no bound executable Small Tools. Steps are defined by engineering methods and reference materials.
CalculationWorkflow StepConvert OPTV image pixel coordinates of discontinuity trace to borehole-local 3D orientation (dip and dip direction)
CalculationWorkflow StepEstimate discontinuity spacing from OPTV-derived frequency of trace intersections along borehole axis
CalculationWorkflow StepCompute Rock Mass Rating (RMR) from OPTV-derived discontinuity parameters and lab UCS
