Subsidence of coastal structures

What are we talking about?

Before entering the subject of subsidence, we must distinguish it from breakwater destruction by wave action. The latter yields spreading of materials on the sea floor resulting in a complete destruction of the breakwater superstructure which can then barely be recognised as such under water. This is not (or less) the case with subsidence yielding a vertical movement, possibly combined with tilting, of the structures.

Subsidence must also be distinguished from local scour near the toe of the structure when breaking of waves coming in obliquely induce a longshore current that might yield erosion of the sandy bed in front of the structure. This may undermine the offshore toe of the structure and cause tumbling of the large capping blocks towards the sea, but not a uniform subsidence of the whole structure.

Repeated storms have sometimes been put forward as a possible explanation for the breakwater subsidence due to wave-induced liquefaction. From a hydraulic point of view, we must visualise a wave travelling towards the coast with a crest parallel to the breakwater. This wave is reflected by the offshore side of the breakwater, inducing a nearly double wave height in front of it. Large waves might indeed induce local liquefaction of the sandy seabed on the offshore side of the breakwater (Zen, 1990 & 1991). This induces a subsidence larger at that side than at the inner side of the breakwater and tumbling of large concrete blocks towards the offshore side would be observed rather than a uniform vertical subsidence.

A different mechanism is that of wave-induced compaction of the sub-soil underneath the structure. Before breakwaters are built, the seabed often consists of more or less loosely packed sand provided by longshore sediment transport. Adding the weight of the breakwaters and subjecting them to vibrations due to wave action and to seismic action, will induce compaction of the sub-soil. In addition, consolidation of clayey materials (if any) and long-term deformation called creep may also play a role in coastal areas at a centennial or millennial time-scale. Modern engineers always dredge away these layers of loosely packed and clayey materials before building any structure, but ancient builders probably did not, because the required heavy-duty dredging equipment did not exist.

Because of the large waves acting on the outer side of the breakwater, a cyclic hydraulic gradient is generated between both sides of the breakwater. This induces a strong flow inside the rubble mound of the breakwater or at the interface between the large concrete blocks and the unprotected sandy seabed. In order to avoid irreversible problems with the foundation of large marine structures due to piping and undermining, a foundation layer consisting of a “granular filter” must be installed in accordance with strict requirements (de Graauw, 1984). As a matter of fact, foundation layers consisting of fine granular material (say 2 to 50 mm) placed underneath large blocks made of Roman concrete are an essential part of their foundation, but they have not been mentioned by excavators so far, except in Caesarea Maritima and Atlit, where a layer of cobbles (probably ship ballast) was found (Votruba, 2007, Haggi, 2005) and in Thasos where a 1 m layer consisting of 2 to 5 kg rubble was found (Empereur, 1993). Only one other case has been recently noted in Fos where pillars made of ashlar were “laid on a level of coarse sand mixed with fragments of ceramics. Below this level, finer sand is largely mingled with dead Posidonia” (Fontaine, 2021), but it is suspected that this perfect filter layer with Posidonia Oceanica was not entirely intentional … Another case is reported by Marty (2016), also at Fos, where a layer of Posidonia was deliberately used as a filter.

Other explanations include earthquakes inducing tsunamis. The tsunami wave(s) first encounters the outer face of the breakwater, where part of its energy is reflected back to the open sea. At this stage, the tsunami might push large blocks of Roman concrete placed on top of the breakwater into the port, rather than generating a uniform vertical subsidence. Then, depending on the size of the tsunami, a substantial part of the energy would overflow the breakwater and submerge the whole harbour area, taking away all loose blocks, pavements, warehouses, ships, etc. The tsunami wave would then enter the city and would finally flow back to sea, taking much waste into the harbour, but it has been shown elsewhere that it can be really hard to distinguish ancient tsunami deposits from other deposits.

LIquefaction at Hualien (Taiwan) during April 3rd 2024 earthquake (Guy Carpenter, 2024).

Earthquake-generated liquefaction is a convenient explanation for subsidence as it is likely to affect large areas covered with cohesionless water-saturated sand. It was probably mentioned by Aelius Aristides (Oration 19) who witnessed the 178 AD earthquake in Smyrna: “some of the temples have fallen, some sunk beneath the ground”. It is probably a major explanation for the subsidence observed at Caesarea Maritima.

The potential for liquefaction depends on the sub-soil properties (Idriss & Boulanger, 2008 ; Hettler, 2014): sand must be loosely packed (less than 70% relative density) and may include a small fraction of fine silts or clay, so-called “silty sand” (less than 20% with a diameter below 74 microns). Longshore transport of sediment often provides this kind of sand in the nearshore area down to a water depth of ca. 10 m.

Liquefaction demonstrated with small scale model (Aachen University, 2016).

During an earthquake, sand with a large porosity (say 40% for a loose packing) will tend to re-arrange its packing and reduce its porosity (to say 30% for a dense packing). This will require some pore water to seep out of the sub-soil, but that flow may be delayed by low-permeability materials. Any load resting on this sub-soil would then be floating on water instead of resting on a solid skeleton of sand grains, and as water would gradually flow out, the load would gradually sink into the sub-soil until it would rest on the re-arranged sand skeleton. This liquefaction process is a short term one occurring within minutes during and shortly after the earthquake. This is of course an idealised and simplified scenario, and many complications may occur in reality with superimposed layers of various materials, including impermeable layers, etc.
According to this process, liquefaction can only occur once in a given area.

Last but not least, we mention tectonic subsidence. This involves crustal movements of the earth which may be horizontal, vertical, or combined. This also involves faults along which such crustal movements appear during earthquakes. It must be reminded that a meters-high subsidence due to tectonic movements is a major and catastrophic event with many casualties that is usually reported even in ancient literature.

Where did we observe subsidence of coastal structures?

The Catalogue of ancient ports holds around 4000 places in the Mediterranean area, out of which ca. 630 sites provide information about Relative Sea-Level Change (RSLC) with at least one Sea-Level Index Point (SLIP), of which nearly 500 sites with quantified RSLC rates for the period 500 to 5000 BP, and nearly 300 sites for the period 500 to 2000 BP. This new data base on submergence includes data taken from a large number of publications, including, Nic Flemming’s data base (1978); Sivan et al. (2010); Pavlopoulos et al. (2012); Vacchi et al. (2021) and many others. The data base was carefully analysed to obtain comparable data for all coastal sites, and subsidence and uplift in places known for their seismic activity were not quantified, such as in the western part of Crete.

Coastal sites with data on submergence.
Note that places with large subsidence or uplift tend to be more studied than others, yielding more data, and conversely, some places may be understudied because they are in remote areas.

Let’s make a few preliminary notes on the available data:

  • Subsidence (and uplift) may be a continuous process (e.g., consolidation) or a sudden process (e.g., liquefaction). Average rates of subsidence in mm/year make sense only in case of continuous processes and for limited periods of time.
  • It is very difficult to separate barystatic (formerly called “eustatic”) Sea Level Change (SLC) and subsidence of the earth’s crust. The Relative Sea Level Change (RSLC or Submergence) of around 0.25 mm/year over the past 2000 years may be due for a large part (maybe even totally) to crustal subsidence. Hence, places that were submerged more 0.5 m over the past 2000 years must have been subject to some kind of subsidence (as Submergence = Subsidence + Sea Level Change).
  • Similarly, any uplift larger than 0.5 m will be visible on land without underwater exploration.
  • In order to keep a constant rate of RSLC, we selected data with an age less than 5000 years (from now to 3000 BCE).

Sites with more than 1 m submergence in 2000 years (0.50 mm/yr) were selected from our data base, yielding 344 sites (including Atlantis!). In addition, 80 sites uplifted in the last 2000 years were identified.

Coastal sites submerged by more than 1 m (blue dots)
and uplifted by more than 0.5 m (red dots) in the last 2000 years.

At a Mediterranean scale, subsidence and uplift must be seen as a part of the Glacial Isostatic Adjustment (GIA) including spatio-temporal Relative Sea-Level Changes described by numerical modelling of the Earth’s mantle and ice sheets. This approach shows that many factors are involved and that virtually nothing is stable, as even gravitation and oceanic current patterns are influenced by the changing ice sheets. The only stable reference point is the centre of the Earth.

At a local scale, port structures located on loosely packed sands provided by longshore sediment transport may be subject to liquefaction during earthquakes, inducing a general subsidence of the port. Sites in deltas are well-known for subsidence. Sites in rocky areas may be subjected to crustal movements linked to seismic activity, like around the Aegean Sea. The bay of Naples is a particular case subjected to so-called ‘bradyseism’ linked to volcanic activity and resulting in alternating uplift and subsidence. Examples of local subsidence are provided in this volume for Caesarea Maritima and elsewhere for Thonis-Heracleion (Brocard, 2024).

Some of the uplifted sites are located in Calabria (Ferranti, 2017), northern Peloponnesus, Samos (Stiros, 2000), Rhodes (Triantafyllou, 2022), western Cilicia (Liberatore, 2023), northern Levant (Sivan, 2010), but most are located in western Crete as a result of the tilting of the island during the 21/7/365 AD earthquake. During this event, the ancient port of Phalasarna and the ancient Kissamos breakwater were uplifted by ca. 6 m. A similar event occurred on the Noto Peninsula (Japan) on 1/1/2024 when the coastline was uplifted by 4 m, leaving Monzenmachi Kuroshima fishing harbour completely dry.

At a regional scale, the well-known fact that the Aegean Sea is tectonically unstable is clearly illustrated in the figure (Kolaiti, 2023). Subsidence in deltas (Nile, Pô and Rhône) is usually due to compaction and consolidation of underlayers that are loaded with new sediment brought by the river(s), which may even induce flexural deformations of the Earth’s lithosphere (Brocard, 2024). A contrasted picture is found on the western Italian coastline where many places are stable or subsiding. Many sites in Italy, both on the northern Adriatic coast and on the northern Sicilian coast and Calabria, are unstable, even if stable areas might possibly be found locally. On the Balearic Islands, Mallorca is found to be stable (at Alcudia), but a subsiding place is found on Minorca (Cova Murada). Corsica Island is found to be mostly stable. On Sardinia Island, subsidence is found on several places in the south-western quarter of the island (Cagliari to Oristano). On Malta Island, subsidence is found near Burmarrad. Southern Cyprus shows several places subsiding, but some places are stable on the western and northern coasts.

One might conclude that sites with no subsidence or uplift are stable, but that is not true because many of these areas were understudied on these aspects (North Africa, SE Spain, Italian Adriatic and Albania). Moreover, some sites may experience uplift compensated by sea-level rise, resulting in a pseudo-stable RSL (possibly in Cyprus).

Limited submergence (less than 1 m/2000 years) pointing to quasi- stable areas in the western Mediterranean area, is observed in NE Spain (Costa Brava), in southern France (Narbonne to Fréjus), on the Italian Tyrrhenian coast (La Spezia to Cuma, with local exceptions at Piombino, Monte Argentario, Santa Marinella), on the south-western Sicilian coast and in Corsica. That is a wide arc running from Mallorca in Spain to Djerba in Tunisia, via France, Italy and SW Sicily, and including Corsica. Quasi-stable areas are also found in the eastern Mediterranean area: in SE Turkey (Antalya-Iskenderun), on the Carmel coast and possibly in Cyprus.

This shows that the definition of tectonically stable areas based on long-term Earth crust movements (say 125 000 years, as mentioned by Vacchi, 2021) approximately corresponds to the definition based on short-term data (say 2000 years). However, a few not all that stable places must be mentioned such as Minorca, SW Sardinia, Malta and Tyrrhenian Italy (Piombino, Monte Argentario, Santa Marinella). Hence, short-term stability (2000 years) can never be taken for granted on the base of long-term stability (125 000 years) evidence.

Coastal areas which were rather stable in the last 2000 years.

Back in 1969, Nic Flemming already had the right intuition: “It is concluded that there has been no net barystatic change in the last 2000 years; that all submerged sites are due to Earth movement; and that tectonic movements in the basin are predominantly downward” (Flemming, 1969), showing that our focus for this time period should perhaps be more on coastal subsidence than on barystatic sea-level rise

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