Minute-means geomagnetic observatories capture short-period geomagnetic variations. The tippers' response, by analyzing the relationship between vertical and horizontal magnetic-field variations, provides insights into the heterogeneous electrical conductivity structure of the crust and upper mantle. A long-time series of minute-means data from 61 geomagnetic observatories (approximately 75–135°E, 15–55°N) in China was collected and analyzed. The estimated tippers were derived for sixteen periods, ranging from 240.48s to 9078.12s. We investigate a cost-effective 3-D resistivity modeling that explicitly incorporates topography, bathymetry, and shoreline data from the ETOPO Global Relief Model to enhance the accuracy of electrical structure recovery beneath China by future inversion analysis. While modeling using a finer mesh is expected to yield more accurate model responses, it also increases model complexity and computational cost. To balance the grid resolution and computational resources, we apply the FEMTIC package (Usui, 2015), which utilizes a non-conforming deformed hexahedral mesh, to construct the model with a nested mesh consisting of a regional mesh and local mesh (cuboids). By comparing the geomagnetic observatory tippers’ responses for different meshes from ETOPO1 data, we found that the local mesh around geomagnetic observatories plays a crucial role. Provided that the local mesh resolution is sufficiently high, the precision of the regional mesh has minimal impact on the results. Based on these findings, we designed a practical mesh configuration for accurately modeling topography and coastlines. The study area, covering 5000 × 5600 km², is represented using a regional mesh with 50 × 56 equal-sized grids (each 100 × 100 km²). Around each geomagnetic observatory, a local mesh of 200 × 200 km² is applied, refined to 3.125 × 3.125 km² at the center using unequal-sized grids. This forward modeling results for geomagnetic observatory tippers’ responses are validated using two test models—one with and without topography. Coastal geomagnetic observatory tippers are primarily influenced by the bathymetry effect, while some inland geomagnetic observatory tippers are affected beyond the typical observational errors by undulating surface topography. The verification shows the necessity of incorporating topography into the modeling process. To quantitatively evaluate the accuracy of tippers calculated from resistivity models that include topography, we employed a simple method based on the arbitrary selection of horizontal coordinate systems in 3D topography over 100 Ohm-m half-space. This method calculates the mean and standard deviation of tipper responses at each geomagnetic observatory, for each frequency and component, by randomly rotating the forward model across ten different azimuthal coordinate systems, including the conventional (XN, YE) coordinate system. Our results indicate that the accuracy of forward modeling is negatively correlated with the roughness of local topography. To account for this, we used high-resolution ETOPO data and locally refined meshes to better capture topographic features near each geomagnetic observatory. For observatories located in regions with complex topography, we employed a mesh based on ETOPO 2022 (30 Arc-Second) data, refined to 0.7812 × 0.7812 km² at the center. For observatories in less complex terrain, a coarser central mesh of 3.125 × 3.125 km² was used. Ultimately, the finalized mesh design for the entire study area consists of a regional grid of 50 × 56 cells (each 100 × 100 km²), combined with local meshes of 200 × 200 km² refined to either 3.125 × 3.125 km² or 0.7812 × 0.7812 km², depending on the surrounding topography. In the future inversion analysis, we will use this local mesh design. Also, we are planning to incorporate the forward modeling uncertainty into the inversion analysis in order not to overfit the data beyond the forward modeling accuracy.
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