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Monotonic triaxial testing and simple modeling of calcareous sand considering the effects of fractal dimension and relative density

Our take

Calcareous sands, prevalent in regions like the Nansha Islands, present unique geotechnical challenges due to their irregular morphology and crushability. This study investigates the influence of fractal dimension (D) and relative density (Dr) on the behavior of saturated calcareous sand through monotonic triaxial testing and modeling. Results demonstrate that increasing D significantly enhances peak strength, while also influencing pore water pressure and strain softening. A modified Duncan-Chang model, incorporating D and Dr, accurately predicts pre-failure stress-strain behavior, offering crucial insights for marine infrastructure design.
Monotonic triaxial testing and simple modeling of calcareous sand considering the effects of fractal dimension and relative density

**Our Take: Understanding the Complex Mechanics of Calcareous Sand for a Changing Ocean**

The geotechnical challenges presented by marine infrastructure construction are increasingly complex, particularly in regions characterized by unique sediment compositions. This recent study, focusing on calcareous sand from the Nansha Islands in the South China Sea, exemplifies this complexity and offers valuable insights for engineers and policymakers alike. Calcareous sand, derived from coral and shell debris, possesses a distinct particle structure—irregular shapes, abundant internal pores, and a propensity for crushing—that significantly impacts its mechanical behavior. The researchers’ innovative application of fractal dimension (D) to characterize this inherent complexity is a crucial step forward. Fractal dimension, a measure of irregularity, provides a quantitative tool to describe the nuanced morphology of these sediments, moving beyond traditional methods that often oversimplify their structure. Similar efforts to characterize seabed sediments using advanced techniques are underway globally; for example, our own work on seabed mineral mapping utilizes advanced acoustic analysis to understand sediment composition, as detailed in Seabed Mineral Mapping. Understanding these intricacies is paramount as coastal development and offshore energy projects expand into these sensitive environments, and this work builds upon existing research examining the impact of sediment properties on coastal resilience – see Coastal Resilience and Sediment Dynamics.

The study’s findings regarding the influence of fractal dimension, relative density, and confining pressure on the shear strength, stress-strain response, and pore water pressure evolution of calcareous sand are particularly significant. The observation that fractal dimension exerts the largest influence on peak strength – a 129.38% increase within the tested ranges – underscores the importance of considering this parameter in geotechnical design. Furthermore, the documented strain-softening behavior, intensified by higher relative density but mitigated by higher fractal dimension, highlights the need for cautious interpretation of standard geotechnical models. The contrasting behavior of calcareous sand compared to ISO sand, with a far lower increase in peak strength with fractal dimension, further emphasizes the unique engineering considerations required for these specialized sediment types. The development of a modified Duncan-Chang model incorporating both fractal dimension and relative density represents a tangible outcome of this research, offering a more accurate tool for predicting pre-failure stress-strain behavior—a critical factor in ensuring the stability of foundations and coastal structures. The study’s focus on the South China Sea is relevant given the ongoing geopolitical considerations and the increasing demand for resource extraction and infrastructure development in the region, adding a layer of practical urgency to the findings.

The implications of this research extend beyond the specific context of the Nansha Islands. Calcareous sand deposits are found in various coastal regions worldwide, particularly in tropical and subtropical areas with extensive coral reef ecosystems. The methodologies and findings presented here—the use of fractal dimension for sediment characterization and the development of a modified constitutive model—can be readily adapted and applied to other locations facing similar geotechnical challenges. This is particularly relevant as sea-level rise and increased storm intensity exacerbate coastal erosion and threaten existing infrastructure. Accurate assessment of soil properties, informed by a deeper understanding of sediment microstructures, is essential for designing resilient coastal defenses and ensuring the long-term stability of offshore installations. The integrated data ecosystem we are building at World Data Ocean aims to facilitate precisely this kind of cross-disciplinary analysis, connecting geotechnical data with oceanographic and climate models to provide a more holistic understanding of coastal processes – see Integrated Coastal Modeling.

Looking ahead, a crucial area for future research lies in incorporating the crushability of calcareous sand particles into predictive models. While this study acknowledges the high crushability of the material, a comprehensive quantification of its impact on long-term performance remains a challenge. Furthermore, exploring the influence of seawater chemistry and biological activity on the degradation of calcareous sand and its subsequent mechanical behavior would provide a more complete picture of its in-situ response. How will the increasing ocean acidification, driven by rising atmospheric CO2, impact the long-term durability of these structures built on calcareous sand foundations? Answering this question will require interdisciplinary collaboration and the development of sophisticated monitoring techniques, but it is a critical step towards ensuring the sustainability of coastal development in the face of a changing ocean.

Calcareous sand from the Nansha Islands, South China Sea, is mainly composed of coral and shell debris, and features irregular particle morphology, abundant intragranular pores, and high particle crushability, which brings considerable geotechnical challenges to marine infrastructure construction. In this study, fractal dimension (D) was employed to quantify the inherent characteristics of saturated calcareous sand (SC sand). A series of consolidated-undrained triaxial compression tests were conducted on SC sand and standard ISO sand under various relative density (Dr), confining pressure (σ3), and fractal dimension. The shear strength, stress–strain response, pore water pressure evolution, and initial tangent modulus were systematically analyzed and compared. Within the tested ranges, the peak effective principal stress difference (σ1−σ3)f of SC sand increased with increasing D, Dr, and σ3. The corresponding increases were 129.38%, 34.25%, and 14%, respectively, indicating that the variation in D produced the largest change in peak strength among the three investigated factors. The peak pore water pressure Δuf rises with increasing Dr and σ3 but declines with increasing D. Strain-softening behavior of SC sand is intensified by higher Dr and mitigated by higher D, whereas σ3 shows no obvious effect. The initial tangent modulus Ei of SC sand increases significantly with D, while that of ISO sand is nearly insensitive to D. The growth rate of (σ1-σ3)f with D for ISO sand is only 19.67%, much lower than that for SC sand. A modified Duncan-Chang model considering the coupled effects of D and Dr is established, which can well predict the pre-failure stress–strain behavior of SC sand. The outcomes provide important experimental and theoretical supports for foundation design and stability evaluation of island-reef projects, coastal structures, and offshore wind farms in the South China Sea.

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