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Effects of Persistent Joints on the Strain Failure of the Roof and Floor around a Circular Opening

This study utilizes biaxial compression tests on sandstone specimens containing a circular opening and a filled fissure to demonstrate that both fissure inclination and filling thickness exert non-monotonic effects on peak strength and deformation, revealing that specific configurations (such as a 15° inclination with 2 mm filling) induce the most severe localized instability and earliest failure, thereby providing critical experimental insights for assessing and supporting roadways adjacent to fault fracture zones.

Original authors: Hongwei Deng, Jun Shen, Jingbo Xu, Yao Liu

Published 2026-08-14
📖 5 min read🧠 Deep dive

Original authors: Hongwei Deng, Jun Shen, Jingbo Xu, Yao Liu

Original paper licensed under CC BY 4.0 (https://creativecommons.org/licenses/by/4.0/). This is an AI-generated explanation of the paper below. It is not written or endorsed by the authors. For technical accuracy, refer to the original paper. Read full disclaimer

Imagine the Earth's crust as a giant, ancient puzzle made of rock. Sometimes, this puzzle has cracks in it, like a broken cookie, or holes where miners have dug out treasure. In the world of underground engineering, these cracks (called "joints" or "fissures") and holes are the troublemakers. When you dig a tunnel or a mine, the rock around it is squeezed from all sides, much like a stress ball in a vice. If the rock has a weak spot—like a layer of soft clay inside a crack—or a hole, that stress doesn't spread out evenly. Instead, it piles up in dangerous spots, waiting to snap the rock apart. Scientists study this by building tiny models of tunnels and cracks in the lab, squeezing them, and listening to the tiny "cracks" the rock makes as it breaks. They want to know: How much squeezing can the rock take before it collapses? And does the thickness of the crack's filling matter? This isn't just about rocks; it's about keeping miners safe and ensuring tunnels don't cave in on us.

Now, let's zoom in on a specific experiment where researchers played with rock, holes, and "gooey" cracks to see what happens when you squeeze them. They used a special type of rock called sandstone and carved a perfect circle into the middle of it to represent a tunnel. But here's the twist: they also cut a straight line through the rock to act as a crack, and they filled that crack with a cement-like paste. They wanted to see how the angle of that crack and how thick the "goo" was would change the rock's ability to hold up.

Think of the rock as a sandwich. The bread is the hard sandstone, and the filling is the soft cement. The researchers made two sets of sandwiches. In the first set, they kept the filling thin (2 mm) but tilted the sandwich at different angles: 10°, 15°, and 20°. In the second set, they kept the tilt at a steady 15° but made the filling thicker: 2 mm, 5 mm, and 10 mm. They also had a "control" group: a rock with just a hole (no crack) and a rock with no holes or cracks at all, just to see how much the defects weakened the structure.

When they started squeezing these rock sandwiches, they found some surprising things. First, having a hole alone made the rock weaker, dropping its strength from about 80 MPa to roughly 59 MPa. But adding a filled crack made it even worse. However, the story wasn't a simple "thicker is weaker" or "steeper is worse." It was more like a rollercoaster.

When they kept the crack angle at 15° and made the filling thicker, the rock actually got stronger when they went from a 2 mm filling to a 5 mm filling (jumping from 43.16 MPa to 48.96 MPa), before dipping slightly at 10 mm (47.90 MPa). It's as if a medium layer of "goo" helped the rock hold together better than a very thin layer, perhaps because the thicker layer squished and settled in a way that supported the load. But when they kept the filling thin (2 mm) and changed the angle, the rock was weakest at 15° (43.16 MPa) but got stronger again at 20° (55.61 MPa). So, the angle and thickness didn't just make things worse in a straight line; they created a complex dance of strength and weakness.

The researchers also listened to the rock using a high-tech "stethoscope" called acoustic emission. Every time a tiny crack formed inside the rock, it made a sound. They could tell the difference between a "pulling" crack (tensile) and a "sliding" crack (shear). Here, the thickness of the filling changed the type of break. With a thin filling (2 mm), the rock mostly broke by pulling apart, like snapping a dry twig. But when they used a thicker filling (5 mm or 10 mm), the rock started sliding and shearing, like two pieces of wet clay sliding past each other. In fact, for the 5 mm and 10 mm thick fillings, over 60% of the breaking events were sliding cracks, compared to less than 10% for the thin ones.

They also watched exactly where the rock deformed. They found that the "roof" (the top part of the hole) squished much more than the "floor" (the bottom). The specimen with a 15° angle and a 2 mm filling (s-15-2) was the troublemaker of the bunch. It had the biggest squish at the top, the earliest signs of instability, and the lowest overall strength. It was the first to give up. On the other hand, the specimen with a 15° angle and a 5 mm filling (s-15-5) held up better, stayed stable longer, and didn't squish as much at the bottom.

So, what's the big takeaway? The paper suggests that you can't just look at one thing, like the angle of a crack or how thick the filling is, to predict if a tunnel will be safe. It's a mix. A thicker filling can actually change how the rock breaks, shifting it from snapping to sliding, and it can sometimes make the rock stronger before it gets too thick. The angle matters, too, but not in a simple way. The researchers found that the specific combination of a 15° angle with a thin filling was the most dangerous for the rock's stability around the hole. This helps engineers know which spots in a mine or tunnel are the most likely to collapse and where they need to put extra support to keep everyone safe.

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