Figure 1.
(Left) Votive relief at the entrance of the ancient marble quarries of Nymphs in Marathi, Paros, depicting a cave with several deities on the left and worshippers on the right. Below, there is a dedicatory inscription naming the dedicant “Adamas”, who offers to the Nymphs. (Right) Present-day photograph of the same relief, showing significant weathering and erosion. The relief was originally published in The Antiquities of Athens by James Stuart and Nicholas Revett, vol. IV (1816), London.
Figure 1.
(Left) Votive relief at the entrance of the ancient marble quarries of Nymphs in Marathi, Paros, depicting a cave with several deities on the left and worshippers on the right. Below, there is a dedicatory inscription naming the dedicant “Adamas”, who offers to the Nymphs. (Right) Present-day photograph of the same relief, showing significant weathering and erosion. The relief was originally published in The Antiquities of Athens by James Stuart and Nicholas Revett, vol. IV (1816), London.
Figure 2.
(Left) White to light gray compact marble characterized by moderate fracturing and discontinuity surfaces of good-to-moderate quality, displaying a largely intact rock mass structure. (Right) Thick-bedded marble showing signs of significant karstification, with visible voids along the tunnel walls and roof, indicating areas of structural failure.
Figure 2.
(Left) White to light gray compact marble characterized by moderate fracturing and discontinuity surfaces of good-to-moderate quality, displaying a largely intact rock mass structure. (Right) Thick-bedded marble showing signs of significant karstification, with visible voids along the tunnel walls and roof, indicating areas of structural failure.
Figure 3.
Detailed plan of the Nymphs’ quarry, originally documented by M. Korres in 1997, highlighting the underground excavation system. The adaptation by Xiroudakis et al. [
10] enhances the visual clarity while maintaining the original layout and features mapped by Korres, which provide critical insights into the quarry’s structural and operational characteristics.
Figure 3.
Detailed plan of the Nymphs’ quarry, originally documented by M. Korres in 1997, highlighting the underground excavation system. The adaptation by Xiroudakis et al. [
10] enhances the visual clarity while maintaining the original layout and features mapped by Korres, which provide critical insights into the quarry’s structural and operational characteristics.
Figure 4.
(Left) South entrance into the Nymphs’ quarry. (Right:) survey inside Pan’s quarry. The harsh environment inside the tunnels, characterized by darkness, low ceiling heights, debris accumulation, and narrow passages, poses significant challenges to navigation and geological mapping, creating substantial risks for researchers.
Figure 4.
(Left) South entrance into the Nymphs’ quarry. (Right:) survey inside Pan’s quarry. The harsh environment inside the tunnels, characterized by darkness, low ceiling heights, debris accumulation, and narrow passages, poses significant challenges to navigation and geological mapping, creating substantial risks for researchers.
Figure 5.
Plan view of the surface area and underground layout of the Ancient Marble Quarries at Marathi, Paros. The map highlights the examined quarry sites, the Nymphs’ quarry (shaded in gray) and the Pan’s quarry (shaded in green). Different color lines indicate specific features: yellow represents the stone-built entrance wall, magenta corresponds to structural elements, and cyan delineates unpaved roads.
Figure 5.
Plan view of the surface area and underground layout of the Ancient Marble Quarries at Marathi, Paros. The map highlights the examined quarry sites, the Nymphs’ quarry (shaded in gray) and the Pan’s quarry (shaded in green). Different color lines indicate specific features: yellow represents the stone-built entrance wall, magenta corresponds to structural elements, and cyan delineates unpaved roads.
Figure 6.
Aerial photogrammetric documentation of the entrance area to the Nymphs’ quarry. (Top) Data acquisition setup. (Bottom) Mesh model of the documented area.
Figure 6.
Aerial photogrammetric documentation of the entrance area to the Nymphs’ quarry. (Top) Data acquisition setup. (Bottom) Mesh model of the documented area.
Figure 7.
Aerial photogrammetric documentation of the slopes at the entrance to the Nymphs’ quarry. (Top) Data acquisition setup. (Bottom) Digital view (orthomosaic) of the slopes at the north and south portals.
Figure 7.
Aerial photogrammetric documentation of the slopes at the entrance to the Nymphs’ quarry. (Top) Data acquisition setup. (Bottom) Digital view (orthomosaic) of the slopes at the north and south portals.
Figure 8.
Locations of 103 consecutive laser scans conducted within the Nymphs’ quarry tunnels. The scanning process was carried out in three phases; the first phase covered the northern tunnel and two smaller transverse branches to the west, with 40 scan positions and 42 connections between scans, spatially registered on-site via tablet. The second phase focused on the intermediate tunnel, where 25 scans and 25 connections were made using the same tablet-based spatial correlation. The third phase included the southern and connecting tunnels, involving 38 scans and 42 connections, also registered on-site via tablet.
Figure 8.
Locations of 103 consecutive laser scans conducted within the Nymphs’ quarry tunnels. The scanning process was carried out in three phases; the first phase covered the northern tunnel and two smaller transverse branches to the west, with 40 scan positions and 42 connections between scans, spatially registered on-site via tablet. The second phase focused on the intermediate tunnel, where 25 scans and 25 connections were made using the same tablet-based spatial correlation. The third phase included the southern and connecting tunnels, involving 38 scans and 42 connections, also registered on-site via tablet.
Figure 9.
Locations of 40 consecutive laser scans conducted within the meandering Pan’s quarry tunnel. Due to the tunnel’s linear structure, the entire scan was completed in a single phase, with the exception of a few larger chambers within the first 100 m, where a wider scanning arrangement was required. A total of 46 connections between scans were established, all registered on-site via tablet. The total overlap between scans was 57%, with an average alignment error of 5 mm.
Figure 9.
Locations of 40 consecutive laser scans conducted within the meandering Pan’s quarry tunnel. Due to the tunnel’s linear structure, the entire scan was completed in a single phase, with the exception of a few larger chambers within the first 100 m, where a wider scanning arrangement was required. A total of 46 connections between scans were established, all registered on-site via tablet. The total overlap between scans was 57%, with an average alignment error of 5 mm.
Figure 10.
Development of the VR environment in the Unity engine for the Nymphs’ underground marble quarries. (Left) External terrain model, including the on-ground portal areas. (Right) The underground tunnel system visualized for high-resolution engineering geological assessments within the virtual reality environment.
Figure 10.
Development of the VR environment in the Unity engine for the Nymphs’ underground marble quarries. (Left) External terrain model, including the on-ground portal areas. (Right) The underground tunnel system visualized for high-resolution engineering geological assessments within the virtual reality environment.
Figure 11.
Final mesh model of the Nymphs’ quarry complex, showing both interior and exterior structures. Key galleries and portals are labeled, with corresponding elevation levels indicated for reference.
Figure 11.
Final mesh model of the Nymphs’ quarry complex, showing both interior and exterior structures. Key galleries and portals are labeled, with corresponding elevation levels indicated for reference.
Figure 12.
Final mesh model of the Pan’s quarry complex, showing both interior and exterior structures. Galleries, chambers, and portals are labeled, with corresponding elevation levels indicated for reference.
Figure 12.
Final mesh model of the Pan’s quarry complex, showing both interior and exterior structures. Galleries, chambers, and portals are labeled, with corresponding elevation levels indicated for reference.
Figure 13.
Intersection of the intermediate gallery with the north gallery in the Nymphs’ complex. Snapshot (S1) taken from a virtual tour of the Nymphs’ quarry, using an interactive application for detailed visualization.
Figure 13.
Intersection of the intermediate gallery with the north gallery in the Nymphs’ complex. Snapshot (S1) taken from a virtual tour of the Nymphs’ quarry, using an interactive application for detailed visualization.
Figure 14.
Snapshots (S1–S4) taken from a virtual tour in the Pan’s quarry, showing detailed 3D digital representations of the rock mass structure, accumulated debris, and debris walls within the underground tunnels.
Figure 14.
Snapshots (S1–S4) taken from a virtual tour in the Pan’s quarry, showing detailed 3D digital representations of the rock mass structure, accumulated debris, and debris walls within the underground tunnels.
Figure 15.
Snapshots (S2–S4) taken from a virtual tour in the Nymphs’ quarry. The digital representation clearly displays the rock mass structure, accumulated debris, and debris walls, offering valuable insights for engineering geological mapping.
Figure 15.
Snapshots (S2–S4) taken from a virtual tour in the Nymphs’ quarry. The digital representation clearly displays the rock mass structure, accumulated debris, and debris walls, offering valuable insights for engineering geological mapping.
Figure 16.
Planimetric view of the Nymphs’ (Top) and Pan’s (Bottom) quarry complexes, indicating underground quarries’ high-hazard zones and snapshot locations.
Figure 16.
Planimetric view of the Nymphs’ (Top) and Pan’s (Bottom) quarry complexes, indicating underground quarries’ high-hazard zones and snapshot locations.
Figure 17.
Snapshot taken from a virtual tour in the Nymphs’ quarry, highlighting the hazard labeled No. 11 on the reference map. This hazard involves roof stability issues, with a collapsed section and overhanging blocks observed at the entrance of the intermediate gallery, moving from the north gallery side. The voids in the roof were created due to the detachment of the rock.
Figure 17.
Snapshot taken from a virtual tour in the Nymphs’ quarry, highlighting the hazard labeled No. 11 on the reference map. This hazard involves roof stability issues, with a collapsed section and overhanging blocks observed at the entrance of the intermediate gallery, moving from the north gallery side. The voids in the roof were created due to the detachment of the rock.
Figure 18.
Digital depiction of the measured rock blocks, showing the overhanging volumes (V1 and V2) in the roof of the quarry section. Large overhanging masses with a high risk of collapse are visible due to the open structure resulting from the roof slab’s failure.
Figure 18.
Digital depiction of the measured rock blocks, showing the overhanging volumes (V1 and V2) in the roof of the quarry section. Large overhanging masses with a high risk of collapse are visible due to the open structure resulting from the roof slab’s failure.
Figure 19.
Snapshot taken from a virtual tour in the south Nymphs’ gallery, highlighting the hazard labeled No. 20 on the reference map. The arrows indicate the area of unstable sterile material and its precarious support by a small marble overhang, posing a significant risk of collapse.
Figure 19.
Snapshot taken from a virtual tour in the south Nymphs’ gallery, highlighting the hazard labeled No. 20 on the reference map. The arrows indicate the area of unstable sterile material and its precarious support by a small marble overhang, posing a significant risk of collapse.
Figure 20.
Digital depiction of the measured unstable material, with an estimated volume V = 3 m3. The green-shaded area represents the sterile material as a mesh model, while the rest of the quarry structure is displayed as a point cloud.
Figure 20.
Digital depiction of the measured unstable material, with an estimated volume V = 3 m3. The green-shaded area represents the sterile material as a mesh model, while the rest of the quarry structure is displayed as a point cloud.
Figure 21.
(Left) Snapshot taken from a virtual tour in the south Nymphs’ gallery, highlighting the hazard labeled No. 19 on the reference map, which relates to the presence of a karstic system in the roof. The system is visible near a narrow pillar supporting the roof (appearing as a balcony). (Right) Photo from the same area taken during the laser scanning survey, showing the karst system intersecting with a transverse fault that displaces it northward. The arrows highlight the karstic system and the fault displacement.
Figure 21.
(Left) Snapshot taken from a virtual tour in the south Nymphs’ gallery, highlighting the hazard labeled No. 19 on the reference map, which relates to the presence of a karstic system in the roof. The system is visible near a narrow pillar supporting the roof (appearing as a balcony). (Right) Photo from the same area taken during the laser scanning survey, showing the karst system intersecting with a transverse fault that displaces it northward. The arrows highlight the karstic system and the fault displacement.
Figure 22.
Snapshot taken from a virtual tour in the Nymphs’ quarry, highlighting hazard No. 8 on the reference map. This hazard involves roof stability issues, with a collapsed section of the roof and overhanging blocks from the roof and walls near the entrance of the first transverse gallery, moving from the north gallery side.
Figure 22.
Snapshot taken from a virtual tour in the Nymphs’ quarry, highlighting hazard No. 8 on the reference map. This hazard involves roof stability issues, with a collapsed section of the roof and overhanging blocks from the roof and walls near the entrance of the first transverse gallery, moving from the north gallery side.
Figure 23.
Digital depiction of the measured rock blocks, showing the overhanging volumes. At the center of the gallery, there is a section of the roof, approximately 2.7 × 2.7 m in size and 2.0 m thick, that is hanging and has mostly detached. On the right (north) side of the gallery, blocks have detached from the walls due to the effect of karstic dissolution on the discontinuity systems.
Figure 23.
Digital depiction of the measured rock blocks, showing the overhanging volumes. At the center of the gallery, there is a section of the roof, approximately 2.7 × 2.7 m in size and 2.0 m thick, that is hanging and has mostly detached. On the right (north) side of the gallery, blocks have detached from the walls due to the effect of karstic dissolution on the discontinuity systems.
Figure 24.
Previous area selected for wedge stability analysis, with results exported from Unwedge software by Rocscience. The analysis identified critical joint intersections, and rock bolts were dimensioned to support the unstable wedge. The wedge stability assessment includes factor of safety calculations for multiple wedges, with volumes and apex heights detailed in the Wedge Information table.
Figure 24.
Previous area selected for wedge stability analysis, with results exported from Unwedge software by Rocscience. The analysis identified critical joint intersections, and rock bolts were dimensioned to support the unstable wedge. The wedge stability assessment includes factor of safety calculations for multiple wedges, with volumes and apex heights detailed in the Wedge Information table.
Figure 25.
A 2D finite element modeling (FEM) analysis conducted using RS2 software from Rocscience Inc. to assess roof stability. The figure illustrates the distribution of the strength factor of the geotechnical material around the tunnel cross-section, highlighting zones of varying stress and stability near the roof and surrounding areas. The orange lines depict the apparent dip of the marble bedding.
Figure 25.
A 2D finite element modeling (FEM) analysis conducted using RS2 software from Rocscience Inc. to assess roof stability. The figure illustrates the distribution of the strength factor of the geotechnical material around the tunnel cross-section, highlighting zones of varying stress and stability near the roof and surrounding areas. The orange lines depict the apparent dip of the marble bedding.
Figure 26.
Snapshot taken from a virtual tour in the south Nymphs’ gallery, highlighting hazard No. 19 on the reference map, related to potential pillar failure within the gallery.
Figure 26.
Snapshot taken from a virtual tour in the south Nymphs’ gallery, highlighting hazard No. 19 on the reference map, related to potential pillar failure within the gallery.
Figure 27.
A 2D finite element modeling (FEM) analysis conducted using RS2 software from Rocscience Inc. to assess pillar stability. The figure illustrates the distribution of the plastic zone around the tunnel cross-section, highlighting the extent of yielding elements near the pillar and surrounding areas, indicating zones of potential failure. The orange lines depict the apparent dip of the marble bedding.
Figure 27.
A 2D finite element modeling (FEM) analysis conducted using RS2 software from Rocscience Inc. to assess pillar stability. The figure illustrates the distribution of the plastic zone around the tunnel cross-section, highlighting the extent of yielding elements near the pillar and surrounding areas, indicating zones of potential failure. The orange lines depict the apparent dip of the marble bedding.
Figure 28.
(Left) Snapshot taken from a virtual tour in the narrow section gallery of Pan’s quarry, highlighting hazard No. 4 on the reference map, related to roof failure. (Right) Photo from the same area taken during the laser scanning survey. For this location, the installation of monitoring systems such as crack meters were recommended to continuously track structural shifts and potential roof collapses.
Figure 28.
(Left) Snapshot taken from a virtual tour in the narrow section gallery of Pan’s quarry, highlighting hazard No. 4 on the reference map, related to roof failure. (Right) Photo from the same area taken during the laser scanning survey. For this location, the installation of monitoring systems such as crack meters were recommended to continuously track structural shifts and potential roof collapses.
Table 1.
Details of the photogrammetric survey program.
Table 1.
Details of the photogrammetric survey program.
Survey Name | Paros Ancient Quarries Total Survey |
---|
Date of Capture | 9 October 2022 |
Coverage Area | 0.347 km2 |
Number of Photos | 876 |
Reprojection Error | 2.32 cm |
Total Number of Points in Point Cloud | 278,416,392 [points] |
Resolution | 2.23 cm |
Coordinate System | GGRS87 |
Table 2.
Details of the nadir photogrammetric survey program at Nymphs’ quarry.
Table 2.
Details of the nadir photogrammetric survey program at Nymphs’ quarry.
Survey Name | Nymphs’ Quarry Nadir Survey |
---|
Date of Capture | 10 October 2022 |
Coverage Area | 0.025 km2 |
Number of Photos | 241 |
Reprojection Error | 0.03 cm |
Total Number of Points in Point Cloud | 137,950,849 [points] |
Resolution | 1.47 cm |
Coordinate System | GGRS87 |
Table 3.
Details of the oblique photogrammetric survey program at Nymphs’ quarry.
Table 3.
Details of the oblique photogrammetric survey program at Nymphs’ quarry.
Survey Name | Nymphs’ Quarry Oblique Survey |
---|
Date of Capture | 10 October 2022 |
Coverage Area | 0.0023 km2 |
Number of Photos | 69 |
Reprojection Error | 0.008 cm |
Total Number of Points in Point Cloud | 43,733,990 [points] |
Resolution | 1.16 cm |
Coordinate System | GGRS87 |
Table 4.
Laser scan exports from the Nymphs’ quarry survey, showing total point cloud points and surface density (r = 0.5) for the north, middle, and south galleries.
Table 4.
Laser scan exports from the Nymphs’ quarry survey, showing total point cloud points and surface density (r = 0.5) for the north, middle, and south galleries.
Nymphs’ Quarry Survey |
---|
Total Number of Points in Point Cloud Surface Density (pts/m2) | North Nymphs’ gallery |
573,250,629 |
155,982 |
Total Number of Points in Point Cloud Surface Density (pts/m2) | Middle Nymphs’ gallery |
259,385,758 |
180,020 |
Total Number of Points in Point Cloud Surface Density (pts/m2) | South Nymphs’ gallery |
403,625,373 |
146,540 |
Table 5.
Laser scan exports from the Pan’s quarry survey, showing the total number of points in the point cloud and the surface density (r = 0.5).
Table 5.
Laser scan exports from the Pan’s quarry survey, showing the total number of points in the point cloud and the surface density (r = 0.5).
Pan’s Quarry Survey |
---|
Total Number of Points in Point Cloud Surface Density (pts/m2) | 1,096,742,193 |
164,406 |
Table 6.
Table of proposed parameters per engineering geological unit.
Table 6.
Table of proposed parameters per engineering geological unit.
Engineering Geological Unit | Unit Weight (kN/m3) | RMR | Hoek–Brown Parameters | Mohr–Coulomb Parameters |
---|
σci (MPa) | GSI | Ei (GPa) | mi | φ (°) | c (MPa) |
---|
EGU1 | 26–27 | 72 | 100 | 65–70 | 15 | 9 | 34 | 6 |
EGU2 | 26–27 | 47 | 100 | 45–50 | 15 | 9 | 28 | 4.5 |
EGU3 | 26–27 | 44 | 100 | 35–40 | 10 | 6 | 21 | 3.0 |
Table 7.
Wedge Information table.
Table 7.
Wedge Information table.
a/a | Wedge Type | Factor of Safety | Wedge Volume (m³) | Apex Height (m) | Color |
---|
1 | Lower Right Wedge | Stable | 0.008 | 0.19 | Red |
2 | Lower Right Wedge | 4.543 | 0.093 | 0.29 | Green |
4 | Roof Wedge | 1.638 | 14.208 | 3.09 | Dark Green |
5 | Lower Left Wedge | 20.759 | 4.837 | 2.07 | Brown |
7 | Upper Left Wedge | 2.132 | 0.001 | 0.07 | Purple |