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Multiscale heterogeneity controls ultrasonic wave propagation in tectonically deformed coal: Insights from CT imaging and numerical wavefield modelling

This study combines CT imaging and numerical wavefield modelling to demonstrate that multiscale pore-fracture networks, rather than mineral inclusions, are the dominant factor controlling ultrasonic wave velocity attenuation, spectral broadening, and coda-wave complexity in tectonically deformed coal.

Original authors: Hongyang Xu, Cheng Zhai, Yong Sun, Jizhao Xu, Xu Yu, Hexiang Xu, Hongda Wen, Yuhang Cheng, Hao Qiu

Published 2026-10-05
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Original authors: Hongyang Xu, Cheng Zhai, Yong Sun, Jizhao Xu, Xu Yu, Hexiang Xu, Hongda Wen, Yuhang Cheng, Hao Qiu

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

Deep beneath the earth's surface, coal seams are not uniform blocks of black stone. Over millions of years, the shifting of tectonic plates squeezes, shears, and shatters these layers, transforming them from solid rock into complex, fractured materials. This process creates what geologists call tectonically deformed coal, a substance riddled with tiny cracks, pores, and mineral specks that are invisible to the naked eye. To understand how these hidden structures behave, scientists often use sound waves. Just as a doctor uses ultrasound to see inside a body, engineers send high-frequency sound pulses through rock to listen to its interior. The speed at which these waves travel and the way they change shape tell a story about the material's health and structure. If the rock is solid and continuous, the sound moves quickly and cleanly. If the rock is broken and full of holes, the sound slows down, scatters, and loses energy. Understanding these differences is crucial for mining safety and for finding natural gas trapped within the coal, as the internal structure dictates how fluids move and how the rock might fail under pressure.

Researchers at the China University of Mining and Technology set out to decode exactly how the microscopic architecture of coal controls these sound waves. They focused on two distinct types of coal found in the same mine: primary coal, which retains its original, relatively intact structure, and cataclastic coal, which has been crushed and shattered by tectonic forces. The team collected samples of both types and subjected them to a rigorous examination. First, they fired ultrasonic pulses through the samples to measure how fast the waves traveled and how the waveforms changed. Then, they used high-resolution X-ray computed tomography, a technique similar to a medical CT scan but with much higher detail, to create three-dimensional digital maps of the coal's internal pores and minerals. Finally, they fed these digital maps into a computer simulation to watch how sound waves moved through the virtual rock, allowing them to isolate the specific effects of tiny mineral specks versus larger cracks.

The results revealed a stark contrast between the two coal types. The sound waves traveled significantly faster through the primary coal, with compressional waves moving at an average speed of 2,38 meters per second. In the shattered cataclastic coal, that speed dropped to 1,571 meters per second, a reduction of nearly 23 percent. The shear waves, which move differently through the material, showed a similar decline. When the researchers looked at the digital maps, they found that the amount of mineral matter in both coal types was nearly identical, making up only about 6 to 8 percent of the total volume. This meant that the minerals themselves were not the primary cause of the slowdown. Instead, the difference lay in the empty spaces. The cataclastic coal was much more porous, with a porosity of 2 to 3 percent compared to just 1 to 2 percent in the primary coal. More importantly, the cracks in the shattered coal were not just more numerous; they were also larger and more varied in size, with a significant number of pores and fractures exceeding 150 in width.

The behavior of the sound waves confirmed that these larger, more connected cracks were the true culprits behind the acoustic changes. In the primary coal, the sound waves maintained a steady rhythm, with their energy concentrated in a specific frequency range and arriving at the sensor in a tight, predictable burst. In the cataclastic coal, the waves became chaotic. The signal arrived later, was much weaker, and spread out over a longer period of time. The frequency spectrum, which showed the mix of high and low tones in the sound, became broader and more complex, with a distinct shift toward lower frequencies. This indicated that the sound waves were being scattered and reflected repeatedly as they bounced off the walls of the numerous cracks, losing their high-frequency energy in the process. The digital simulations provided the final piece of the puzzle. When the researchers modeled the coal with only the mineral specks included, the sound waves passed through with barely any disturbance. However, when they added the network of cracks, the waves were forced to take a tortuous path, bouncing and diffracting around the empty spaces. This scattering effect delayed the arrival of the first sound pulse by a measurable amount and created a lingering echo of scattered energy that lasted much longer than in the solid rock.

The study concludes that while minerals are present in the coal, they play a minor role in how sound travels through it. The dominant factor is the pore-fracture system—the network of cracks and holes created by tectonic stress. It is this network that dictates the speed of the waves, the amount of energy lost, and the complexity of the signal. By understanding that the size and connectivity of these cracks are the primary drivers of acoustic behavior, scientists can better interpret the signals they receive from deep underground. This knowledge offers a clearer way to assess the damage done to coal seams by geological forces and improves the ability to characterize the hidden structures that control the flow of gas and the stability of the rock. The work provides a solid foundation for using sound waves not just as a measuring tool, but as a precise method for visualizing the invisible, fractured world within the earth.

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