Keywords

1 Introduction

The present paper focuses on the preliminary assessment of the ongoing and potential geo-hazards affecting the AlUla archaeological sites. Located at 1100 km West from Riyadh, AlUla covers an archaeological area (e.g., necropolis, quarries and settlements) of more than 22,000 m2 (Fig. 1), where it is possible to walk in a luxury oasis through ancient world heritage sites in a rock cut landscape shaped over million years (Margottini and Spizzichino 2021). Its best-known site is Hegra, the main southern city of the Nabataean kingdom, before becoming a Roman outpost, and the first UNESCO world heritage site in Saudi Arabia. It is conserving over 110 monumental tombs with elaborated façades carved into the sandstone rock. In addition to Hegra, AlUla hosts a number of fascinating historical and archaeological sites such as its Old Town, surrounded by an ancient oasis; Dadan, the capital of the Dadan and Lihyan kingdoms, considered one of the most developed cities of the first millennium BC in the Arabian Peninsula; and thousands of ancient rock-art sites (e.g. Abu Ud, Jabal Ikmah).

Fig. 1
A screen layout of a map of AI Ula Oasis. The map displays the locations of archaeological sites and photographs are provided. It includes Ashar Valley, Abu Oud, Jabal Ikmah, Alula Old Town, Qurh, Dadan, and Hegra. The region of Alula is pointed out in a satellite map below.

Map of AlUla oasis and investigated archaeological and natural sites

Many rock-cut monuments are affected by different natural threats such as surface weathering and erosion, rising dampness, rock surface detachment and large-volume slope instabilities. To ensure the long-term conservation of sites affected by such natural threats, detailed investigations, monitoring and consolidation measures are required, specifically developed for rupestrian cultural heritage sites (Spizzichino et al. 2016; Boldini et al. 2017; Margottini and Spizzichino 2022). The activities are characterized by a thorough multidisciplinary approach including competencies in archaeology, engineering geology, rock mechanics, landslide risk assessment and management as well as in conservation, protection and mitigation measures.

To define the main physical and mechanical proprieties of the rock materials, two laboratory test campaigns were carried out, in 2020 and 2021. The structural setting of the rock-mass (bedding planes, joints, faults), related to the stratigraphical genesis, the tectonic activity of the Red sea, and the geomorphological evolution of the slope, was identified and classified. Local rock-mass conditions were found to promote slope instabilities (e.g., rockfall, sliding, toppling) that may affect both the heritage itself and visitors.

This preliminary assessment of prevailing kinematics and potential geo-hazards will allow the implementation of a general master plan, to be considered as a first step for the following detailed design stage. The master plan will contain a first selection of the most appropriated mitigation and consolidation measures, characterized by a low environmental impact and employing, as much as possible, traditional knowledge to site preservation.

2 The AlUla Archaeological Section

The province of AlUla keeps and shows extraordinary human and natural heritage. Its homonym capital is in the center of Wadi Al-Qura, an impressive valley carved out of sandstone, in which there is evidence of human presence, at least, since 200,000 BP. The AlUla wadis were a meeting point and a natural route for millennia, crossed by important trade routes used since prehistory, and with special intensity since the first millennium BC. With the flourishing of the cultures of Dadan—Lihyan, and Nabatean one later, the Incense Route, which from the south of the Arabian Peninsula crossed the AlUla region, reached the main eastern ports of the Mediterranean Sea. In this sense, the discussion on the introduction and spreading of the Neolithic phenomenon in the peninsula is also particularly interesting. These traditional communication routes are punctuated by an astonishing dispersion of rock art and monumental rock structures that provide us with a wealth of information. Regarding the latter, the research projects promoted by the Kingdoms Institute of the Royal Commission for AlUla (Thomas et al. 2021) detected close to 1400 Mustatils. It was possible to obtain the absolute dating of them with 14C, that takes us to the late Neolithic, around 6000 BC (Ramsey 2020; Reimer et al. 2020). AlUla is home to some of the main archaeological landmarks of Arabia, such as the site of Al-Khuraybah, ancient Dadan, capital city of the Dadanite and Lihyanite kingdoms. Dadan was likely one of the most developed cities of the first millennium BC. of the region. As an indisputable heritage legacy, the sandstone valleys also protect thousands of inscriptions in several different languages and alphabets, from Dadanite to modern Arabic. Jabal Ikmah, Abu Ud or Al-Aqra’a are an undoubted and powerful human testimony in the area. Without a doubt, the most recognized archaeological site is Hegra. Extending over 52 hectares, Hegra was the most important Nabatean city and royal cemetery in the south of their kingdom, since at least the first century BC (Fig. 2). UNESCO world heritage site since 2008, Hegra protects more than a hundred monumental tombs from this period, and had continuity during the Roman period, probably as one of the southernmost places in the province of Arabia Petrea. After the transition to Islam in the seventh century, the cities of Q’uhr and AlUla appeared in written sources as important places for pilgrimage routes. Testimony of this is reflected both in the archaeological remains of the first, next to the town of Mughaira, and in the Old Town of AlUla, whose streets, squares, and farms seem frozen in time.

Fig. 2
A photograph of Nabatean tombs in Hegra.

Nabatean tombs in the Hegra archaeological site

The latest reflection of this evolution is made up of the characteristic elements of the Ottoman presence, both in the form of various fortifications and military equipment, as well as that of the Hijaz railway. Its construction, which was intended to complete the connection of Damascus with Madinah, was suspended by the First World War. Figure 3 summarizes the chronology for AlUla civilization.

Fig. 3
A schematic diagram illustrates the geological settings. It begins with the prehistoric, bronze age, ancient north Arabian kingdoms, Nabatean kingdom, Roman, Islamic, and Ottoman periods.

The AlUla chronology (source https://www.rcu.gov.sa)

3 Geological Setting

From the geological point of view, the area of AlUla is located at the border between the basement complex and the Arabian foreland, constituted by coarse clastic sediments (mainly sandstone). The detailed distribution of the various geological formations is reported in Fig. 3 (modified after Donald and Hadley 1987).

Outcropping succession in the AlUla archaeological region includes the Siq Sandstone and Quweira Sandstone and the upper Quaternary alluvial deposits. The sandstone layers are sub-horizontal, gently dipping about 5° in N-NE (330°N). From the geological profile reconstructed by Buro Happold Engineering (2019) it is possible to notice that, due to this gentle dipping and due to topography, the Siq Red Sandstone is mainly outcropping in AlUla and surrounding (Dadan, Old Town, etc.) while, in the Hegra area, the Quweira Sandstone is dominant. The Quweira occurs in cross-bedded stratifications with bed thicknesses of 2 to 5 m (Table 1).

Table 1 Litho-stratigraphic units and sub-units in the region of AlUla

The Siq Sandstone, dark red to brownish-red and medium-grained, is divided into three sub-units, namely the Lower (sandstone conglomerate of white quartz cobbles), Middle (fine, fractured strata) and Upper Siq (massive and very compact) Sandstones (Fig. 4).

Fig. 4
An outline of a map of Alula's location. The locations with different geological materials are denoted by the various shades provided below. It includes alluvium, flood basalt, sandstone, lava, and pyroclastic rock. Over the locations, sandstone is most prevalent.

Geological map of AlUla region (modified after Donald and Hadley 1987)

The panoramic photograph in Fig. 5, taken on 2014 from the “highpoint” on top of Harrat (lava plain or volcanic field of Al Uwayrid west of AlUla - Wahbi), displays most of the lytho-stratgraphic succession in the area. This division is evident from the erosion profile of the outcrops in the area (Fig. 5).

Fig. 5
A panoramic photograph of the high point of the Harrat region. It displays the erosion profiles, including Quweira, U. S I Q, M. S I Q, and L. S I Q.

Panoramic view (slightly vertically-exaggerated) of the litho-stratigraphic succession in the AlUla area, taken from the highpoint of Harrat Al Uwayrid, west of the town of AlUla. Sandstone units are recognized in this section, except for the Saq Sandstone, which outcrops out further north of this area (Wahbi 2014)

4 Physical and Mechanic Characterization of Rock Mass and Rock Material

4.1 Field Survey and Rock-Mass Characterization

Geo-mechanical characteristics of the AlUla rock formations were investigated through geomechanical field surveys and laboratory tests, these latter executed directly in Italy (Gallego et al., in printing). The surveys were carried out following the recommendation of the International Society for Rock Mechanics (ISRM 1978a, b, 1981). The following activities were carried out directly during field surveys in Hegra and Dadan (Table 2):

Table 2 Average discontinuity and rock mass parameters for Hegra and Dadan sites from the first campaign in 2020 (Gallego et al. 2022)
  1. 1.

    geo-structural analysis of the slope façades (orientation and main characteristics of discontinuities);

  2. 2.

    Barton’s profilometer tests for reconstructing the joint roughness (JRC);

  3. 3.

    sampling of blocks to be used for laboratory testing;

  4. 4.

    Schmidt-hammer tests on joint surfaces and intact rock blocks for in-situ assessment of the uniaxial compressive strength (JCS);

  5. 5.

    tilt tests for base friction angle assessment (φb).

The rock mass classification index GSI was also assessed (Table 2).

4.2 Laboratory Tests

During the December 2020 campaign (Gallego et al. 2022), five rock samples were collected near the cities of Mada’in Salih (better known as Hegra) and Dadan (Fig. 5). They consist of two Yellowish Sandstone blocks, belonging to the Quweira Group, and three Red Sandstone blocks of the Siq Group (Fig. 6). A total of 40 specimens were prepared for the mechanical tests, of which 22 for the uniaxial compression test (Fig. 7a), with a diameter of about 25 mm, and 18 for the Brazilian test (Fig. 7b), with a diameter of about 50 mm. Uniaxial compression tests and Brazilian tests were performed using a 10 and 50 kN load cells, applying respectively a load rate of 0.5 MPa/s and 200 N/s (ISRM 1978c). Before the mechanical tests, the P wave velocity was also measured on all the specimens. The average values of the physical and mechanical properties for each sample are summarized in Table 3.

Fig. 6
A satellite image of the rock block locations. Samples 1 and 2 in Hegra, sample 3 in Dadan, and samples 4 and 5 in Dadan.

Location of rock blocks collection

Fig. 7
A scatterplot of V subscript P versus percentage of N. It includes five samples of sandstones. Two dotted lines denote the total porosity levels. The increase in porosity reduces significantly V subscript P values for both sandstones.

P wave velocity against total porosity (Gallego et al. 2022)

Table 3 Summary of the physical and mechanical properties of the rock materials (Gallego et al. 2022)

The increase in porosity reduces significantly VP values for both rock formations, with differentiated trends for the Yellowish and Red Sandstone samples (Fig. 7).

The uniaxial compressive strength σc ranges from less than 10 MPa for a specimen of the sample 2 to over 50 MPa for a specimen of the sample 1, both belonging to the Yellowish Sandstone lithotype. Specimens prepared from the Red Sandstone blocks are characterized by σc values in the range 18–42 MPa.

Consistently, specimens from samples 1 and 2 display respectively the highest and lowest values of the tensile strength σt, from almost 8 MPa in the case of the first block down to about 0.5 MPa in the second one. Values of σt similar to those obtained for the sample 1 were identified for specimens obtained from samples 3 and 4, while significantly lower values were attained by the two specimens cored from sample 5. In general, inspection of the two figures highlights the substantial influence of porosity on the rock material strength (Fig. 8).

Fig. 8
Two graphs of gamma subscripts C and T versus total porosity. It includes five samples. a. The uniaxial strength ranges from less than 10 megapascals in sample 2 to over 50 megapascals in sample 1.

Uniaxial compressive strength (a) and tensile strength (b) against total porosity (Gallego et al. 2022)

5 Geo-hazards and Morphological Processes Threatening the Sites

The term geo-hazards includes very different types of morphological processes and involve both long-term and short-term geological processes. In the following, the main instability and weathering problems affecting the sites at different scales are briefly described.

The different archaeological sites of AlUla region are completely carved and realized into the Quweira and Siq Sandstones. The local quality of the rock-mass is directly depending on:

  1. 1.

    lithology and rock material of depositional layers (e.g. minerals, texture and composition);

  2. 2.

    level and typology of weathering and erosion;

  3. 3.

    structural setting (e.g. joints, fractures, faults).

The slope angle for most of the rock faces is prevalently higher than 80°, with frequent overhanging surfaces consequent to erosive processes or block collapses at their base. Slope kinematics, and thus potential failure modes, is mainly ruled by high and medium dip angle of the main discontinuities versus local slope orientation. Also the presence of horizontal discontinuities (bedding planes) is conditioning failure modes and volumes of potential instability (see Fig. 10).

Following is a description for each investigated site.

5.1 Hegra

The archaeological area of Hegra occupies a flood plain in the orographic left area of the northern part of the AlUla oasis. It is characterized by the outcrop of small hills formed by sandstone blocks (QEqr) completely immersed in a real small desert of gravel deposits (Qu).

The characteristic formations that host the Nabatean necropolis are the final and cumulative result of two different and combined (mutually interdependent) morphological processes. The first, with very slow evolution, concerns the effects of wind erosion and precipitation. The second, in rapid evolution, concerns the diffused collapse phenomena that develop along the edges of the façades for structural and geo-mechanical factors.

The first process leads to the creation of spectacular weathering and erosive forms typical of these geological formations which in their final stage produce the so-called rock mushroom (Fig. 9).

Fig. 9
A photograph of erosional patterns in the Hegra region.

Typical weathering and erosional patterns in the Hegra site

In the second case widespread processes of morphological instability or geo-hazards (mainly rockfall) occur, which characterize both the external and internal portion of the tombs and also the rock masses in which they were built.

The erosional phenomena promote also the thinning of different support structures (pillar, eves, rock wall, architraves and gates) inside and outside the tomb as well along and on the top of natural slope.

The main instability processes affecting the whole Hegra archaeological area are:

  1. 1.

    Rockfall, rock sliding, wedge failure, toppling, free fall (from small to medium to large dimensions) affecting both the rock façade and the slope in which the tombs are carved;

  2. 2.

    Collapse (from very small to medium dimensions) involving directly the carved architectonic structure of the Tombs;

  3. 3.

    Weathering and erosion processes (from small to large scale) affecting both the slope facade and Tombs.

Some examples of the three typologies above mentioned are reported in the following Fig. 10.

Fig. 10
A set of nine photographs of Hegra regions. It focuses on the rock slide and free fall, small cracks and fractures, and erosive patterns.

Example of the main instability processes affecting the different tombs in Hegra: upper sequence of photos stands for rock slide and free fall; middle sequence is reporting small cracks, fractures and detachment affecting the tomb façade; lower sequence is showing weathering and erosive processes present in the area

All the 138 tombs were investigated, collecting parameters that are synthesized in the following Table 4. Geometrical data were provided by a laser scanning survey TLS (Fig. 11).

Table 4 Information provided for each tomb
Fig. 11
A screen displays the laser scanner survey photograph of the tomb in the Hegra region.

Example of laser scanner survey (TLS) in Hegra: the tomb of Al Farid (courtesy of Factum Foundation)

All the information were managed within a GIS software, providing detail information about the state of conservation for each tomb. A global rank about the state of conservation among all tombs was also provided, giving an outcome as showed for some examples in Fig. 12.

Fig. 12
A photograph of the necropolis of Jabal al Ahmar. It includes a table below that depicts the global ranking of Hegra tombs. The table column headings are state of conversation, geom phenomena, damage, geology, groundwater, kinematic analysis, possible monitoring, and others.

Global ranking for the state of conservation of Hegra tombs. Example from Necropolis of Jabal al-Ahmar. The color is indicating the degree of damage

5.2 Dadan

The site of Dadan is landscaped composed by an alluvial plane with archaeological remains only partially excavated, a gentle slope with few tombs, a vertical cliff that in the lower part was used as a quarry to collect stones for the construction of nearby village and where, at later stage, many tombs belonging to people with high social status were digged, the upper part of the mountain where ritual installations, rock art and defensive installation are located (Fig. 13).

Fig. 13
A diagrammatic layout of the Dadan area landscape which is composed of an alluvial plane with archaeological remains. It includes ritual installations, defensive installations, rock art, tombs, quarries, shrines, visitor's roads, unexcavated archaeological remains, and wire fences.

The landscape zoning with major archaeological settlements in Dadan area (After Moriset and Gandreau 2022)

From the previous landscape zoning it is quite evident that the highest energy of relief, a quantitative parameter representing the maximum difference in elevation between the highest point and the lowest point measured in a given area, is concentrated on the vertical cliff were the quarry and the tombs are located. High energy of relief means high susceptibility of cliff instabilities, potentially involving both archaeological remains and visitors.

From a mechanical point of view, the area of Dadan (Fig. 14) is characterized by a 20 to 25 m thick massive sandstone layer in the upper Siq (SU), laying directly over the transition from the Middle Siq to the Upper Siq unit (characterized also by a small thickness silty to clayey beds, such as SM). The SU layer was quarried because of the position and of the physical and mechanical characteristics that made the rock material suitable for construction. Excavation was carried out with different techniques that can be identified by the presence of natural and induced fractures or linear pick marks. Extraction was performed both parallel and perpendicular to the slope face. Some evidence of the quarrying activities is the presence of holes for placing scaffolding-like structures or for moving along the slope or for anchoring ropes. Quarrying was performed by taking advantage of weak bedding or lamination planes, and open or latent discontinuities. Chisels, points, hammers, picks, saws, and wedges were used to cut, excavate and open artificial fractures or for removal of large blocks by a progressive lowering of the upper rock face surface.

Fig. 14
A satellite image and a graph of the Dadan region. The lion tomb location is labeled. The debris cones and talus accumulation are denoted by various shady patches. It includes a graph depicting the percentages in the middle. S I Q, upper. S I Q, and Quweira.

Geological insights of the Dadan archaeological area: (a) the geologic chart projected on the satellite image (from Google Earth©), the blue lines represent the debris from the old quarry, as well as the debris cones and the talus accumulation, “Sm” stands for Middle Siq sandstone, “Su” for Upper Siq sandstone, “Q” for Quweira sandstone and “A” for alluvial deposits

In the upper part, the Quweira sandstone (Q) is outcropping.

As a matter of fact, the area of Dadan is highly affected by rockfalls in general. Some relevant examples of potentially unstable blocks affecting the rocky cliff were surveyed during field investigations and are summarized in the following. The slopes are prevalently sub vertical to vertical (>80°), especially along the quarry area, and gentler along the talus and quarry waste deposits. The outcropping sandstone presents a few prominent sub vertical discontinuity sets (N-S, E-W, ENE-WSW) whose origin, especially the joint system parallel to the slope face, can be associated to main regional tectonic trends. Unstable blocks, kinematics and the potential failure modes are mainly ruled by steeply dipping discontinuities sub parallel to the local slope orientation (see Fig. 14) and the sub horizontal bedding. These generate detachments with overhanging elements and only very minor sliding components.

In addition, it can be noted that the main joint sets have been used as weak planes along which quarrying activities were carried. The presence, spacing and continuity of bedding are conditioning factors controlling both the failure modes and unstable block volumes (Fig. 15).

Fig. 15
A photograph of the Dadan region with a rock facade.

Examples of rock façade at Dadan site. Type, spacing and fracturing of the joints are clearly evident. The lower strata are interested by the quarry excavated during the Dadanite time. In the latter joints and discontinuities were used to facilitate the carving of the quarry, as well as of the ancient tombs

According to the geomorphological survey of the area, the main typologies of instability processes are rockfalls (planar slide, wedge failure, toppling and free fall) in the vertical cliff with Upper Siq sandstone and Quweira on top of the area and rill erosion in the gentle slope where the Middle siq is outcropping. More in detail it is possible to recognize the following processes and related dangerous situations:

  1. 1.

    potential planar slide, wedge failure, toppling and free fall (from small to medium to large dimensions), affecting the whole rocky cliffs, both in the vertical Upper Siq sandstone and in the topmost Quweira sandstone;

  2. 2.

    runout of blocks collapsing from the cliff, falling, bouncing and rolling in the lower part of the cliff, mainly concentrated along the gorges of the slope but also along the talus;

  3. 3.

    fall of loose small blocks and debris, standing on the various morphological terraces above the quarry. This category can be considered a subset of item 1;

  4. 4.

    in the intermediate Siq formation, represented by the inclined deposit at the bottom of the cliff, also partially covered by collapsed blocks and debris from the quarry, in occasion of heavy rainfall some important rill erosion may occur.

Figures 16, 17, 18 and 19 show the above four typologies of geomorphological instability processes.

Fig. 16
A photograph of the Dadan region with rockfall.

Example of rockfall affecting the rocky cliff of Dadan

Fig. 17
A photograph of the Dadan region with rock boulders.

Rock boulders freely running on the slope after the collapse, until resting at the toe of the cliff

Fig. 18
A photograph of the Dadan region with small blocks and debris.

Already detached small blocks and debris on the cliff terraces, potentially falling on visitors

Fig. 19
A photograph of the Dadan region with rill erosion denoted by a shaded dotted line.

Rill erosion (dashed line) occurring at the medium Siq formation (inclined strata) in occasion of heavy rainfall, damaging the archaeological remains

When looking at the impact of previous processes (hazard) on exposed elements, it is important to notice the following (Fig. 20):

  1. 1.

    the collapse of small/medium blocks from the quarried part of the cliff may damage the archaeological remains, i.e. the tombs carved on the cliff, either directly impacting on them or having the carved tomb as part of the collapsing block (Fig. 18);

  2. 2.

    fallen blocks from the upper part of the cliff, during the runout, may potentially impact on visitors at the toe of the slope (Fig. 21) and on cars driving on the earth road inside the archaeological park; such block can also damage the tombs located in the intermediate Siq formation (Fig. 22);

  3. 3.

    the already detached small blocks and debris standing on the various morphological terraces above the quarry may potentially impact on visitors at the toe of the slope;

  4. 4.

    the occasional rill erosion in the medium Siq formation may also damage the tombs located in this part of the slope.

Fig. 20
A photograph of the Dadan region with archaeological remains.

Potential collapse in the quarried part of the slope and involving archaeological remains

Fig. 21
A photograph of the Dadan region with collapsed blocks.

Collapsed blocks at the toe of the cliff with the pedestrian pathway passing through. This is a clear example of a pathway standing too close to the cliff and exposing visitors to a potential risk of being involved in a rockfall

Fig. 22
A photograph of the Dadan region with tombs.

Tombs located in the intermediate Siq formation and damaged by the runout of collapsed blocks

5.3 AlUla Old Town

AlUla Old Town is currently exhibiting an important development. Buildings are under restoration and the main road is showing new shops and commercial activities (Fig. 23).

Fig. 23
A photograph of Alula's old town's western cliff.

General view of AlUla Old Town and the dangerous Western cliff

In the present situation is becoming essential to understand the potential impact on people and buildings of falling blocks coming from the Western cliff, investigating their possible trajectory and runout.

According to Varnes (1978), rockfall events involve the detachment (sliding, wedge, toppling and free fall) of rock mass fragments, which are then transported by gravity (runout) through free fall, bouncing, rolling, sliding, and are ultimately deposited on a talus cone or as individual debris deposits. Thus, rockfalls can be damaging events, and assessing rockfall potential and past rockfall events are important to analyse potential risks and discuss mitigation strategies. Review works on rockfall hazard assessments are provided by Ferrari et al. (2016), Gerber (2019), Loew et al. (2021) and Marija et al. (2022).

The measurement of size and shape for a large number of boulders (rock blocks) in the field is cumbersome and very time-consuming. Nevertheless, the size (volume) and shape of the boulders belonging to a rockfall are expected to provide helpful information for the understanding of transport and run-out dynamics of rock particles as well as calibration for modelling. Therefore, lidar point cloud and satellite images were used to measure the size (volume), the shape and the run-out length of most boulders.

Such approach provided a landslide inventory map, in terms of surface block distribution, as relevant input data for a 3D rockfall simulation model, coupled with topographic and geotechnical data. The map in Fig. 24 represents the accumulation area where the boulders runout after the detachment from the cliff. Figure 24 provides also a detail of the general rockfall inventory map and the related frequency/distance chart.

Fig. 24
A satellite photographs a rock block on a western cliff. It includes a graph of related frequency versus distance. It includes two curves, My Data and Stoc 500.

Rock block inventory along the Western cliff and frequency/distance distribution from origin source

Considering the difficulties in the direct identification of source areas in the field, due to the elevated morphology, a relevant support was provided by the use of a semi-automatic kinematic analysis (Gigli and Casagli 2011). From this tool, the identification of susceptible areas was developed and coupled with field survey. Figure 25 shows the global kinematic index, summing up the hazard for the various typologies of instabilities (Gigli and Casagli 2011).

Fig. 25
An analysis of the global kinematic index in the Alula western cliff.

Global kinematic index for the Western cliff of AlUla

The rockfall runout simulation was performed by using the 3D model Hy-STONE (Agliardi and Crosta 2003; Crosta and Agliardi 2003).

The 3D models are able to simulate block motion along a slope by including lateral dispersion of trajectories due to large and small scale morphological complexity (Descoeudres and Zimmermann 1987: Guzzetti et al., 2002; Agliardi and Crosta 2003; Crosta and Agliardi 2003; Dorren et al. 2006). The obtained results are spatially distributed over the entire study area, without need for any interpolation of data computing along specific trajectories or imposing predetermined fall direction.

Hy-STONE incorporates both kinematic (lumped mass) and hybrid (mixed kinematic-dynamic) algorithms, allowing to model free fall, impact and rolling. Different damping relationships are available to simulate energy loss at impact or by rolling. The topography is described by a raster DEM, which is converted in a vector topographic model (Triangulate Regular Network, Guzzetti et al. 2002) for the solution of impact and rolling.

The stochastic nature of rockfall processes is introduced as a function of model spatial resolution and by random sampling most parameters from different PDFs (e.g. uniform, normal, lognormal, exponential). The capability to simulate the effect of passive countermeasures, dynamics of “flying rocks” and the effect of vegetation were implemented and tested against real events (Frattini et al. 2012). A special elasto-viscoplastic strain hardening model for impact on soft ground (Di Prisco and Vecchiotti 2006) was also implemented. Model results are provided in both raster and vector formats and these include rockfall frequency, density of arrest points, critical sources area, fly height, rotational and translational velocity and kinetic energy, as well as information about motion type, and impact locations.

The following Fig. 26 shows the result of the 3D modelling, highlighting that the possibility that some trajectories of falling boulders are arriving till the border of Old Town is not negligible.

Fig. 26
A 3-D view of the rockfall simulation in Al Ula, Saudi Arabia. The different shades denote the noncritical source areas, critical source areas, and 3-D vector trajectories intersecting the element at risk.

3D trajectories intersecting the elements at risk in AlUla Old Town. In this simulation the source for falling boulders is the upper part of the Western cliff

6 Conclusion

The AlUla oasis covers a wide archaeological area where it is possible to visit ancient heritage sites in a rock cut landscape shaped over thousand years. In addition to its best-known World Heritage site of Hegra, the region hosts a number of fascinating historical and archaeological sites such as its Old Town; Dadan and many ancient rock-art sites.

The entire area is characterized by the presence of low to medium strength sandstone formations. More in detail, the north area shows the outcropping of the Quweira Yellowish sandstone unit while in the central and Southern area (Old Town and Dadan) and further south the Siq Red Sandstone appears, divided into three main sub-units (Lower, Middle and Upper). The poor geological and geomechanical characteristics of these two formations affect the potential instability and weathering of the cultural heritage sites carved into them.

The geological formations are characterized by a significant internal variability, both vertical and lateral. The Quweira Yellowish Sandstone, of interest for the site of Hegra, is mainly interested by diffused weathering and erosional phenomena as well as rockfall connected to internal structural asset. The archaeological areas in the Siq Red Sandstone, i.e. Dadan and Old Town, are mainly affected by rockfall and slides as a consequence of the local discontinuities pattern.