Surface load Love numbers up to degree 1000000 and load Green's functions for three regional Earth models (globalc, oceanc, landc) and two reference models (REM1D and PREM)
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In order to support load deformation studies for global, oceanic, and continental regions, the new reference model REM1D and the crustal model ECM1 are combined to construct three spherically layered elastic Earth models—‘globalc’, ‘oceanc’, and ’landc’—each incorporating the average crustal physical structure of its respective region. Using the VSMS method together with fourth-order Runge-Kutta integration, we computed surface load Love numbers (LLNs) up to degree 106 for the three regional models and two reference models, REM1D and PREM (both with ocean-removed) and derived the corresponding load Green’s Functions (LGFs) for ten geophysical quantities: surface radial displacement, tangential displacement, geoid change, gravity perturbation, gravity change, vertical deflection, tilt change, radial strain, co-latitudinal strain, and longitudinal strain. High-degree LLNs pass asymptotic analytical solution tests. Here, we release comprehensive datasets for the three regionally adapted models (globalc, oceanc, landc) and two reference models (REM1D and PREM), including surface LLNs from degree 0 to 106 and LGFs for ten physical quantities under CE, CM, CF, CL, and CH reference frames. These datasets for the globalc, oceanc and landc models provide new, complete, and high-quality fundamental parameters for surface load deformation research across global, oceanic, and continental scales. The LLNs and LGFs dataset from the REM1D model can provide a valuable reference for the three aforementioned regional models. The results for two reference models (REM1D and PREM) serve as benchmark data for some loading simulation studies. The elastic Earth models, simulation methods, and features of the results are described in the following two submitted manuscripts: Wang, H., Cheng, G., Xiang, L., Jiang, L. & Shen, Q. (2026). Very high-degree load deformation simulation: 1. A compact and efficient approach. Journal of Geophysical Research: Solid Earth, submitted Wang, H., Cheng, G., Xiang, L., Jiang, L. & Shen, Q. (2026). Very high-degree load deformation simulation: 2. Applications in global, oceanic, and continental scales. Journal of Geophysical Research: Solid Earth, submitted.
为支撑全球、海洋及大陆区域的荷载变形研究，本研究将新型参考模型REM1D与地壳模型ECM1相结合，构建了三个球层状弹性地球模型——‘globalc’、‘oceanc’与‘landc’，三者分别对应其所属区域的平均地壳物理结构。采用VSMS方法结合四阶龙格-库塔（fourth-order Runge-Kutta）积分，我们针对上述三个区域模型以及REM1D、PREM两个参考模型（均已移除海洋信号）计算了至阶数106的地表荷载勒夫数（Load Love Numbers, LLNs），并推导得到对应10种地球物理量的荷载格林函数（Load Green’s Functions, LGFs）：地表径向位移、切向位移、大地水准面变化、重力扰动、重力变化、垂直偏转、倾斜变化、径向应变、余纬应变与经向应变。高阶勒夫数通过了渐近解析解测试。 本次发布的数据集涵盖上述三个区域适配模型（globalc、oceanc、landc）与两个参考模型（REM1D与PREM）的完整数据，包括阶数0至106的地表荷载勒夫数，以及CE、CM、CF、CL、CH五种参考框架下10种物理量对应的荷载格林函数。其中针对globalc、oceanc与landc模型的数据集，可为全球、海洋及大陆尺度的地表荷载变形研究提供全新、完整且高质量的基础参数。REM1D模型的荷载勒夫数与荷载格林函数数据集，可为前述三个区域模型提供重要参考。而REM1D与PREM两个参考模型的计算结果，可作为部分荷载模拟研究的基准数据。 弹性地球模型、模拟方法及结果特征详见已投稿的两篇论文： Wang, H., Cheng, G., Xiang, L., Jiang, L. & Shen, Q. (2026). 极高阶荷载变形模拟：1. 紧凑高效的计算方法. Journal of Geophysical Research: Solid Earth, 已投稿 Wang, H., Cheng, G., Xiang, L., Jiang, L. & Shen, Q. (2026). 极高阶荷载变形模拟：2. 全球、海洋及大陆尺度的应用. Journal of Geophysical Research: Solid Earth, 已投稿
