Weighted Joint Density

This document details Datarock’s product Weighted Joint Density (wJd).

WJd was developed by Palmström et al with the aim of better characterising the degree of jointing and the block size than other common methods. The method is based on the understanding that joints perpendicular to a bore hole will be more frequently intersected than other joints.

Literature

This product is based on the following literature:

 

Title

Author

Year

The weighted joint density method leads to improved characterization of jointing

A Palmström et al

1996

 

Dependent Models

The outputs of the following models are used:

 

Model Name

Model Type

Fracture Detection and Classification

Object Detection

Drillers Break

Object Detection

Fracture Mask

Instance Segmentation

 

Data Processing

The following steps are taken to determine the Weighted Joint Density of a given interval:

  1. Take the output of the fracture detection model, “simple” classes only

  2. Run a segmentation model to extract the fracture profile

wjs-1

3. Measure the angle of each fracture with respect to the core axis

wjs-2

4. For a given interval, calculate the Weighted Joint Density

wjs-3

where

L = length of the measured section along the core

δ = the intersection angle, the angle between the drill core and the individual joint

This method provides a more nuanced understanding of joint density, leading to potentially more accurate characterisation of the rock mass. The image below shows an example of measured Weighted Joint Density along side row imagery.

wjs-4

Further Information

The Weighted Joint Density quantifies the joint density in rock masses, adjusted for joint orientation:

  • Variability: It shows the distribution of joints, indicating rock mass strength and stability.

  • Engineering Impact: High wJd values may signal potential weak zones, influencing design strategies.

  • Hydrogeology: Similar to engineering impact, wJd can indicate permeability and fluid flow, important for groundwater management and resource extraction.

In summary, wJd can be used as a key factor in geotechnical and engineering analyses, affecting project safety and effectiveness.

Product Configuration Options

There are no configuration aspects to this product.

Output Data

Default interval length: 1.0m

Customisable interval available: Yes.

User Data

User data may be provided to the Datarock team via csv in the following format:

·       HoleID_sampling_intervals_WJD.csv

CSV file to contain the following headers:

 

File Header

Description

depth_from

Start of interval

depth_to

End of interval

 

Data Output

Results from this product is delivered in a batch nature.

Integration of the required technologies into Datarock production is ongoing.

The available CSV files include the following:

  • HoleID_wjd_by_3m_intervals.csv

  • HoleID_wjd_by_user_intervals.csv

Both CSVs contain the following headers:

 

File Header

Description

hole_id

Customer’s Hole ID

depth_from_m

Start of interval (metres)

depth_to_m

End of interval (metres)

depth_from_ft*

Start of interval (feet)

depth_to_ft*

End of interval (feet)

wjd

Weighted joint density

wjd_measurable

Weighted joint density using only “measurable” fractures

 

*Only included if project depths are in feet.

Product Limitations

 

Limitations

Comments

Dimensional Limitation

The wJd method relies on measurements taken from drill cores or scanlines, which are essentially one-dimensional. This can limit the accuracy of joint characterization because it may not capture the true three-dimensional spatial distribution of joints within the rock mass.

Sampling Bias

The data derived from wJd is dependent on the orientation and location of the borehole or scanline relative to the joint sets. If the sampling is not representative of the entire rock mass, it could lead to skewed results.

Impact of Unseen Joints

There could be joints that are not intersecting the core or scanline but could be critical for the stability of the rock mass. The wJd may underestimate the density and impact of such joints.

Technological Limitations

The accuracy of wJd is dependent on the technology used for measuring and analyzing the rock joints. Imperfections in imaging or data processing can lead to errors in the final analysis.

 

Document Version

 

Version

Date

Author

Rationale

1.0

19 Dec 2023

L Yanez

Initial release