1. Introduction
In recent years, ground-based synthetic aperture radar (GB-InSAR) has become an essential tool for high-precision, all-weather, and continuous deformation monitoring in landslide-prone areas, owing to its high spatial resolution, short revisit intervals, and flexible deployment capabilities [
1]. Since its initial application in dam and landslide monitoring in the early 21st century, GB-InSAR has been widely adopted and practically implemented in countries such as Italy [
2], Switzerland, Spain [
3], and China [
4]. In emergency landslide monitoring and early warning systems, GB-InSAR enables minute-scale continuous observation, significantly improving the timeliness and spatial accuracy of deformation detection and precursor identification [
5,
6,
7,
8]. In many cases, GB-InSAR can detect precursory deformation several hours before the onset of a landslide, thus providing important support for emergency early warning systems [
9]. Moreover, in complex and remote environments such as sinkholes or steep alpine slopes, GB-InSAR can provide high-resolution and high-accuracy surface displacement fields, ensuring reliable continuous monitoring under challenging geological conditions [
10,
11,
12,
13]. High-frequency radar systems and MIMO-SAR technology have attracted increasing attention in geohazard monitoring. For example, MIMO-SAR systems such as the MELISSA prototype have been successfully applied to monitor landslides and volcanic slope instabilities, achieving sub-millimeter precision and refresh rates as high as 0.01 s, which greatly surpass the temporal resolution of conventional GB-InSAR systems [
14]. Furthermore, field experiments conducted at the Vetto landslide, Stromboli volcano, and Costa Concordia wreck demonstrated the feasibility of near real-time monitoring with acquisition rates up to 125 images per second [
10]. These advances highlight the significant potential of high-frequency and MIMO radar technology for the real-time monitoring of rapidly evolving geohazards.
Furthermore, ground-based synthetic aperture radar systems based on multiple-input multiple-output (MIMO) arrays, known as MIMO-SAR, have emerged as an important innovation in the field of GB-InSAR. By utilizing electronic antenna arrays and high-speed switching technology, MIMO-SAR enables SAR imaging without the need for mechanical scanning, substantially increasing data acquisition speed and spatial sampling density [
15,
16,
17]. This allows for high-frequency, high-resolution dynamic surface monitoring [
18]. Relevant studies have demonstrated that MIMO-SAR systems exhibit outstanding performance in specific applications, with acquisition times as short as 0.1 s, significantly enhancing the rapid response capability for sudden geohazards [
14,
19,
20,
21].
Traditional landslide monitoring methods present certain limitations: contact-based techniques often require equipment deployment on the landslide body, posing significant safety risks, and it is difficult to maintain continuous operation in complex post-disaster environments. Single-station GB-InSAR, constrained by line-of-sight requirements, typically yields only single-component deformation data, failing to comprehensively reflect the three-dimensional movement of the slope. Furthermore, these methods struggle to meet the precision and timeliness requirements for emergency monitoring of sudden, large-scale landslides [
22,
23,
24,
25]. At the same time, both conventional GB-InSAR and MIMO-SAR systems continue to face two major scientific challenges in post-disaster emergency scenarios: first, how to optimize radar deployment strategies in rugged terrain to achieve a balance between wide area coverage and the focused monitoring of key zones; and second, how to overcome the limitations of single line-of-sight measurements to achieve the real-time reconstruction of three-dimensional full-field displacements [
26,
27,
28], thereby revealing the true kinematic characteristics and evolutionary mechanisms of the hazard [
21].
To address these challenges, this study proposes a high-frequency three-dimensional deformation reconstruction method based on multi-angle GB-InSAR, which is specifically designed for post-disaster emergency monitoring of large-scale landslides. By leveraging the high spatiotemporal resolution of MIMO-SAR, a spatially optimized multi-angle radar deployment strategy and an efficient three-dimensional inversion workflow are developed to achieve high-precision dynamic monitoring during critical post-failure periods. Using a typical landslide in Junlian County, Sichuan Province, as a case study, the system demonstrates the potential of the proposed method for capturing the spatiotemporal evolution of landslide deformation and supporting post-disaster emergency management, thereby providing both theoretical and practical foundations for advancing geohazard emergency monitoring technologies.
3. Methodology
Compared with spaceborne SAR systems, ground-based SAR interferometry benefits from precise rail control, effectively achieving a zero baseline and eliminating the need for external DEM data to compensate for flat Earth and topographic phases. In addition, the GBSAR system allows flexible observation geometry, enabling the radar to be positioned according to the scene and readily detect north–south deformation components [
4,
13,
33].
The primary algorithm for deformation measurement in GB-SAR systems is the PS-InSAR processing algorithm [
2,
34,
35]. Due to extended monitoring periods and potentially significant scene changes, the set of permanent scatterers may vary over time. As a result, the GB-SAR system requires the dynamic selection of PS points. To maintain real-time capability, PS selection is performed using the first
n images before conventional interferometric deformation grouping with the designated master image. This real-time selection ensures an adequate number of PS points within the scene at all times [
36,
37,
38,
39].
To accurately derive the three-dimensional (3D) surface deformation field of a landslide, this study proposes a joint inversion approach integrating high-precision digital elevation model (DEM) data and dual-view ground-based synthetic aperture radar (GB-InSAR) observations. Employing high-resolution DEM data to constrain topographic characteristics, this method combines line-of-sight (LOS) displacement observations synchronously obtained by two GB-InSAR systems positioned at different locations with complementary geometries, enabling the quantitative retrieval of the 3D landslide displacement (
Figure 2 and
Figure 3).
In practical implementation, the high-resolution DEM is first resampled and strictly co-registered to ensure consistency with the GB-InSAR data in terms of spatial resolution and the coordinate system. The DEM is then used to calculate the slope and aspect of each pixel, from which the local surface normal is derived. This information is further employed to correct the radar imaging geometry parameters, including incidence and azimuth angles, thereby ensuring that the LOS vectors are consistent with the actual terrain. Based on multi-view LOS observations, a least squares inversion is applied to derive the three-dimensional deformation components. When the observation geometry is insufficient, the surface normal derived from the DEM, together with the assumption that landslide motion typically follows slope-parallel or normal components, is introduced as a constraint to enhance the stability and physical reliability of the inversion results.
Initially, two GB-InSAR systems are strategically deployed opposite or adjacent to the landslide, providing displacement measurements along different LOS directions. Each GB-InSAR collects N1 and N2 period images over the monitoring duration. Through phase unwrapping and differential analysis, pixel-level cumulative LOS deformation time series and and average deformation rates and are derived. Simultaneously, high-precision DEM data covering the study area are acquired to calculate slope angles, slope aspects, and corresponding surface-normal vectors precisely at each pixel . All observational datasets are resampled to a consistent spatial resolution and coordinate reference, followed by rigorous spatial co-registration using ground control points.
In Earth observation, the three-dimensional displacement vector
of pixel P at any given time projected onto the line-of-sight (LOS) direction
=
of the
-th GB-InSAR system can be expressed as follows:
In Equation (1),
i = 1, 2, and
represents observation noise. Since the two LOS observations alone cannot uniquely resolve the three displacement components, additional physical constraints must be introduced [
30]. A high-precision DEM provides the surface-normal vector n for each pixel. Assuming that the principal deformation direction aligns with the slope normal or that motion is predominantly concentrated along slope-normal or slope-tangential components, the following constraints can be applied:
In Equation (2), the component
represents the principal slip direction, whose physical interpretation can be defined through geological surveys or empirical models. Consequently, the combined observation equations can be established as follows:
In Equation (3), the LOS direction vector
for each GB-InSAR system can be accurately derived from the system’s deployment parameters and local topographic parameters extracted from the DEM. For pixel P, the LOS vector is defined as follows:
In Equation (4), denotes the radar’s azimuth angle relative to true north, and represents the incidence angle. A high-precision DEM is utilized to correct for the topographic slope’s effect on the actual LOS vector, ensuring the physical accuracy of the multi-view geometric constraints.
The incidence angle, defined as the angle between the radar line-of-sight (LOS) and the ground normal, influences deformation sensitivity. Larger incidence angles increase the sensitivity to horizontal components along the LOS plane, while smaller incidence angles enhance sensitivity to the vertical component. Thus, the measured LOS displacement corresponds to a projection of the true 3D displacement vector
, where the projection coefficients vary with incidence angle.
In Equation (5), θ is the incidence angle. The sensitivity coefficient to the vertical component is cosθ, while the sensitivity coefficient to the “radar-facing horizontal component” is sinθ. Therefore, when the incidence angle θ changes, the projection coefficients also change, leading to the amplification or attenuation of different displacement components in the LOS measurement.
For each pixel, the linear system described above is solved using least squares or regularization methods to retrieve the three-dimensional displacement components
. Provided that the covariance of observational noise is known, error propagation is applied to quantify the uncertainty in the three-dimensional deformation results as follows:
In Equation (6), represents the coefficient matrix described above and denotes the observational error covariance matrix. The error associated with each displacement component can thus be extracted, providing a reliable basis for subsequent quantitative analyses of landslide risk.
4. Results
4.1. Site Deployment and Spatial Overview of Post-Disaster Monitoring
In this study, two ground-based radar systems were deployed to monitor the post-disaster evolution of a large-scale landslide. The deployment locations of the ground-based radar were highly constrained by the intense destructive force of the landslide, presenting considerable challenges for site selection. According to the theoretical criteria for optimal radar placement, the monitoring requirements are met when the deformation sensitivity of the slope radar exceeds 0.5. The deformation sensitivity of a slope radar refers to the degree to which the radar’s line-of-sight (LOS) is responsive to the displacement direction within the monitored area, specifically defined as the projection coefficient of the local sliding direction onto the LOS direction. The geometric relationship between the radar LOS and the plane of the monitored area is illustrated (
Figure 4a). Since the value of the deformation sensitivity varies with position across the monitored area, its spatial distribution changes accordingly. The spatial distribution of deformation sensitivity is shown in
Figure 4b.
Based on the geometric relationship illustrated above, the sensitivity is given by the value of cos ω, which can be calculated as follows:
NOEU refers to the north–east–up (NEU) coordinate system, where the positive directions are due east, due north, and vertically upward. TDKI denotes the local sliding surface coordinate system for the monitored area, with axes oriented along the sliding direction, the direction perpendicular to sliding, and the normal to the sliding surface, respectively [
22].
represents the angle between the sliding direction and the radar line-of-sight (LOS);
is the slope angle of the monitored area;
is the slope aspect;
is the radar incidence angle; and
is the angle between the projection of the radar LOS in the NOE plane and the north direction.
Accordingly, the satisfaction rate of the slope radar deformation sensitivity index is defined as the ratio of the area within the monitored region that meets the sensitivity criterion to the total monitored area. In this study, the two ground-based radar systems achieved deformation sensitivities of 0.75 and 0.77, thus satisfying the monitoring requirements. The following sections will provide a detailed analysis of the spatiotemporal evolution characteristics of secondary disasters triggered by the landslide event.
Figure 5 presents the displacement monitoring results for the landslide area obtained using two ground-based Interferometric Synthetic Aperture Radar (GB-InSAR) systems between 15 February 2025 and 19 February 2025.
Figure 6a and
Figure 6b correspond to the monitoring perspectives and area coverage of the two devices, respectively. Both primary monitoring areas encompass the main landslide body and its surrounding regions. However, due to differences in device placement and imaging angles, slight variations are observed in the point cloud distribution. The monitoring results are expressed as line-of-sight (LOS) displacements, with color indicating the magnitude and direction of deformation: red to green denotes negative displacement (away from the radar) to positive displacement (toward the radar). The LOS displacement range for
Figure 5a is from −54.22 mm to +45.71 mm, while that for
Figure 5b is from −58.62 mm to +50.36 mm. The comparable ranges indicate a high degree of consistency and comparability between the monitoring results.
Both images reveal significant deformation responses, particularly in the central and lower parts of the landslide body, where persistent movement toward the radar is detected. This pattern is closely related to the topographic structure and potential sliding direction of the landslide, as the central and lower accumulation zones typically serve as focal areas for stress concentration and material transport. In addition, the widespread distribution of green areas indicates regions of relatively minor or stable deformation. The complementary perspectives provided by the two monitoring systems capture deformation characteristics from different directions, enhancing the comprehensiveness and accuracy of the monitoring. Therefore, integrating the results from both devices improves the spatial resolution and sensitivity of the landslide early warning system, supporting the dynamic identification and risk assessment of landslide evolution.
4.2. Time Series Deformation Characteristics and Stability Evolution of the Landslide
To further elucidate the evolutionary characteristics of secondary failures following a large-scale landslide, this study analyzes time series deformation data acquired from the landslide area between 16 February 2025 and 19 February 2025. These data include the spatiotemporal evolution of three physical parameters: acceleration (a), velocity (b), and displacement (c). The detailed analysis of these datasets enables a comprehensive understanding of the dynamic response characteristics of the landslide area during the monitoring period. As shown in
Figure 6a, the time series of acceleration reveals significant fluctuations during specific intervals, particularly between 20:59 on 16 February 2025 and 10:33 on 17 February 2025. These fluctuations reflect abrupt changes in the internal stress state of the landslide mass.
Figure 6b indicates that the velocity within the landslide area experienced a sudden increase between 16 February 2025 and 17 February 2025, which is consistent with the acceleration data. The displacement time series shown in
Figure 6c provides additional information on the temporal evolution of deformation in the landslide area.
The analysis of the spatiotemporal distribution of deformation indicates that the most pronounced increases occurred between 16 February 2025 and 17 February 2025, with the maximum LOS displacement reaching approximately 15 mm, the peak LOS velocity up to 260 mm/h, and the peak LOS acceleration as high as 1036 mm/h2.
Overall, the time series deformation process in the landslide area can be divided into two distinct stages: stage I (18:00 on 15 February 2025 to 17:00 on 16 February 2025) is characterized by slow deformation, which may represent the natural deformation of the landslide body under static or low-stress conditions; stage II (17:00 on 16 February 2025 to 10:00 on 17 February 2025) is marked by a clear acceleration in deformation rate and displacement magnitude, reflecting a deterioration in the dynamic stability of the landslide under external disturbances.
The comprehensive analysis of these time series data reveals the deformation characteristics and stability evolution of the landslide area at different stages. Moreover, thanks to the minute-level monitoring capability of ground-based radar, the evolution of the landslide can be continuously assessed, providing a reliable basis for timely landslide early warning.
4.3. Three-Dimensional Deformation Decomposition
After processing the two sets of ground-based SAR observation data, pixels with high data quality were geocoded, converting the radar image coordinates into a unified geographic coordinate system. This step enabled the consistent integration of the observational data with topographic, geomorphological, and remote sensing information. Subsequently, spatial registration and image resampling techniques were applied to identify and extract the set of common coherent pixels—pixels that exhibit high coherence and data integrity from both viewing geometries. This set of common pixels serves as the core data foundation for subsequent three-dimensional deformation inversion, and its geometric configuration is critical for the resolvability and stability of the derived deformation components. To ensure data accuracy, only pixels with strong complementary viewing angles and high coherence were retained for joint inversion.
Figure 7 illustrates the radar imaging geometry and parameter distributions for the two ground-based SAR observation sites within the landslide area.
Figure 7a and b show the radar line-of-sight coverage for observation site 1 and site 2, respectively, with blue and red regions indicating the primary fields of view illuminated by the radar beams. The figure clearly demonstrates that the two sites provide highly complementary perspectives, effectively covering most key deformation zones of the landslide.
Figure 7c,d present the radar incidence angle distributions for each observation point, reflecting the angle between the incident electromagnetic wave and the local vertical at the ground surface. The incidence angles range from 1.72° to 37.75° for site 1 and from 0.05° to 30.14° for site 2. Larger incidence angles are observed in the central and rear parts of the landslide body, which are beneficial for capturing vertical deformation signals.
Figure 7e,f display the radar azimuth angles (the angle between the radar wave propagation direction and geographic north), which for both sites fall within the range of 53.03° to 89.99°, providing a solid geometric basis for three-dimensional deformation inversion and the identification of the principal sliding direction. The complementary viewing configurations of the two observation sites offer multi-directional and multi-angular radar geometric sensitivity within the landslide area, which is characterized by complex slope orientations and pronounced topographic relief, thereby significantly enhancing the reliability and accuracy of deformation field retrieval.
Based on the methodology described in
Section 3, the three-dimensional surface displacement field of the landslide area was reconstructed, including the east–west, north–south, and vertical motion components. Overall, the main landslide zone exhibited significant deformation responses across all three directions.
Figure 8 presents the spatial distribution of the 3D surface displacement components in the landslide area, as derived from dual-perspective GB-InSAR and high-resolution DEM inversion.
Figure 8a, b, and c correspond to the east–west, north–south, and vertical displacement components, respectively, while
Figure 8d provides an integrated 3D model of the main sliding zone superimposed on the landslide area. The black arrows indicate the direction of movement within the landslide region. The main sliding belt (outlined in red) demonstrates pronounced spatial heterogeneity in all three displacement components.
A detailed analysis is as follows: In the east–west component (
Figure 8a), the maximum displacement is approximately +85 mm, primarily concentrated in the upper and central portions of the landslide body, indicating significant eastward sliding. Influenced by local slope and the primary sliding direction, negative east–west displacements (−80 mm and below) are mainly observed at the upper margin of the landslide. For the north–south component (
Figure 8b), the maximum positive displacement, approximately +72 mm, occurs along the southern boundary and principal accumulation zone, while negative values (−60 mm) are concentrated near the northern toe, reflecting non-uniform movement along the north–south direction. In the vertical component (
Figure 8c), the maximum subsidence within the main sliding belt reaches −100 mm, which is substantially greater than that of the surrounding original slope (generally not exceeding −30 mm). Areas of large vertical displacement are concentrated at the lower edge of the landslide deposit, reflecting the combined effects of material accumulation and surface uplift (frontal accumulation uplift/rear edge subsidence) during the landslide event.
The spatial distribution patterns reveal clear synergetic motion and differential deformation among the three components within the main sliding zone. Compared with the original slope, the mean three-dimensional displacement within the main sliding belt is approximately 60% higher, with contiguous high-deformation zones observed at the toe and accumulation areas. This indicates a large-scale shear sliding movement of the landslide mass along the principal sliding direction. Combined with DEM-based terrain analysis, the three-dimensional inversion results are highly consistent with the distribution of the main sliding belt, the geological structure of the landslide body, and surface morphology, thus confirming the validity and engineering applicability of the dual-perspective InSAR–DEM joint inversion for reconstructing 3D displacement fields.
6. Conclusions
This study focuses on a large-scale landslide event that occurred in Jinping Village, which is representative of rainfall-induced rapid landslides in the mountainous areas of southwest China. To address the need for high-precision, dynamic post-disaster monitoring and deformation mechanism identification in large landslides, two ground-based synthetic aperture radar (GB-InSAR) systems were strategically deployed based on theoretical site selection criteria and sensitivity analysis. These systems achieved deformation sensitivities of 0.75 and 0.77, effectively overcoming the challenges posed by complex topography and extensive deformation on radar deployment and monitoring capability. Continuous observation data demonstrate that the two radar systems provide highly complementary coverage of the main landslide body and surrounding critical deformation zones, with a high degree of consistency in the observed line-of-sight (LOS) displacement fields.
High-frequency, high spatiotemporal resolution time series data revealed that the landslide underwent a dynamic evolution from gradual accumulation to rapid acceleration between 15 and 19 February 2025. Notably, persistent movement toward the radar was observed in the central and lower sections of the sliding mass, indicating a close relationship between secondary instability and stress concentration. Furthermore, three-dimensional deformation inversion was performed using high-resolution DEMs as terrain constraints, with high-coherence pixels selected from both radar perspectives and precise co-registration employed. This enabled the systematic reconstruction of spatial displacement distributions in the east–west, north–south, and vertical directions. The results show significant displacements along all directions within the main sliding zone, with the mean 3D deformation exceeding that of the original slope surface by approximately 60% and the maximum vertical subsidence reaching −100 mm. The deformation exhibits pronounced spatial heterogeneity and closely corresponds to geomorphic structure and sliding direction.
A comparative analysis further demonstrates that the conventional SRTM DEM (30 m) is insufficient for capturing the complex, small-scale, and highly variable landslide morphology, while the high-resolution DEM (2 m) substantially improves the accuracy of 3D inversion and reduces topographic constraint errors, thereby providing a solid foundation for disaster evolution analysis and landslide mechanism interpretation. Post-disaster field investigations further validated the reliability of GB-InSAR monitoring results, with observed cracks and tensile features closely matching areas of high deformation response and the spatial distribution of surface debris, thereby confirming the accuracy of the monitoring approach.
This study constructed a “dual-view GB-InSAR + high-resolution DEM” three-dimensional dynamic deformation monitoring method for landslides. The monitoring system enables the precise characterization of the spatiotemporal evolution of large-scale landslides after major disasters. While the proposed method provides valuable information on deformation patterns, a complete specification of the landslide mechanism requires additional geological surveys, geotechnical testing, and numerical modeling, which will be considered in future work. This approach not only provides a theoretical and technical basis for the early detection and risk warning of landslide hazards but also serves as a valuable model for multi-scale monitoring and mechanism studies of geological hazards in complex mountainous regions.