Abstract
Ports exposed to high energy long wave conditions can experience significantly reduced berth operability. Geraldton is perhaps one of the best known examples. Recent studies to mitigate the problems have concentrated on the reduction of the long waves by extending the breakwater. However, this is quite costly. Various countermeasures related to the mooring configuration are defined and analysed in this paper. The analysed alternatives are use of shore-based mooring lines, installation of softer fenders, a combination of these two, and deployment of Cavotec MoorMaster™ units. These alternatives were compared with the existing mooring configuration and with the option to extend the breakwater. The best improvement (50% increase of threshold long wave height inside the harbour) is reached by installing a combination of pneumatic fenders and constant tension winches set to 30 t, or nylon breast lines on a brake winch with a pretension of 25 t. In this way, the vessel is pulled into the fenders and fender friction prevents excessive surging of the ship along the berth.
1. Introduction
Geraldton Harbour is located on the west coast of Australia, 370 km north from Perth, on the northern side of a headland that provides a natural protection against the prevailing swells from the southwest. The location and layout of the existing port with seven berths are shown in Figure 1. Berth 1/2 is essentially operated as one berth. The most occupied berths are Berth 3 (mainly grain export) and Berths 5 and 7 (iron ore export). Despite the relatively sheltered location, there have been issues in the port with broken mooring lines and excessive ship motions related to long-period waves in the port. Moreover, the operability of some of the berths has decreased after successive construction activities, particularly:
- the addition of Berth 6,
- the construction of the Batavia Coast Marina to the east of the port,
- the deepening of the entrance channel and port basin.
Various metocean data collection studies have identified that the long waves are generated as swell wave groups travel over the wide and shallow reef directly to the north and northwest of the port [1,2,3]. The long waves refract on the outskirts of this reef and the side slopes of the channel and diffract around the western breakwater into the port.
Figure 1.
Aerial photo of Geraldton (left; source Google Earth) and layout of the Geraldton Port showing the commercial Berths N° 1 through 7 (right).
The most recent studies to mitigate the long wave problems in the port have concentrated on the reduction of the long wave energy in the port. A 350 m extension of the Western Breakwater was found to lead to approximately a 35% reduction of the long wave height in the port [4]. However, a 35% reduction of the long wave energy does not necessarily mean a 35% reduction of the response of the moored vessels, as will be discussed in the this paper, because the lower frequency long waves are reduced less than the higher frequency long wave component.
Other possible mitigation measures involve improvement of the mooring configuration, which is the topic of this paper. Several modifications have been adopted in other ports around the world, such as installation of winches on the berth [5,6], replacing stiff buckling fenders with soft pneumatic fenders [7], or installation of alternative mooring systems such as the MoorMaster™ vacuum mooring system [8] and the ShoreTension® hydraulic mooring system [9]. Shore-based mooring lines were adopted at Berth 1/2 in Geraldton and MoorMaster units were deployed at Berth 7 during the construction of this berth. Neither of these solutions was permanent.
It is shown in this paper that alternative solutions are available that provide more improvement than the originally tested shore-based mooring lines, and that are more cost-effective than MoorMaster units. A combination of stronger and softer shore-based mooring lines in combination with softer fenders leads to a significant improvement of the response of the moored vessel and a related reduction of the mooring line forces. The improvement is better than the improvement resulting from a 350 m extension of the Western Breakwater.
The analysis and dynamic mooring simulations are focused on Berth 5, which is the berth with the highest occupancy and the highest value cargo (iron ore). An assessment of the existing mooring configuration at Berth 5 and possible mitigation measures to improve this are discussed in Section 2. The methodology and the set-up of the moored ship response modelling to verify the mitigation measures are described in Section 3 and Section 4, respectively. The results are provided and discussed in Section 5 and the conclusions of the study are given in Section 6.
2. Assessment of the Mooring Configuration
2.1. Existing Mooring Configuration at Berth 5
Berth 5 is an iron ore loading berth. Vessels that are moored at this berth are mainly Panamax vessels with a length over all between 190 m and 225 m. There is one conveyer belt shiploader that can travel along the berth over a rail. A plan view of a ship moored at Berth 5 with a typical mooring arrangement is shown in Figure 2.
Figure 2.
Panamax bulk carrier moored at Berth 5 with a typical mooring layout (mooring lines highlighted in yellow; spring lines and outer bow/stern lines are double; source: Google Earth).
There are five breasting dolphins with Supercone fenders. For a regular mooring layout the centre three fenders are within the parallel sides of the vessel (so touch the hull). The aftmost fender never touches. The forwardmost fender may touch depending on the length of the ship, bow shape, and exact position of the ship along the berth.
The fact that only three fenders may touch the hull is considered suboptimal, because the ship is more free to yaw and the fenders can be overloaded when the vessel sways and yaws significantly due to long wave action in the port.
Ships of this size usually carry 14 mooring lines, generally polypropylene, polyester or a composite of these two, which all have similar load-elongation characteristics. These lines are easy to handle, but may be weak due to abrasion and bad maintenance. This is often an important cause of breakage of mooring lines. Moreover, a chain reaction of multiple line failures can happen after one bad line breaks and other lines have to take the extra load.
The mooring layout at Berth 5 is 3-2-2 for the number of bow/stern lines, breast lines and spring lines on either side of the ship. This is shown in Figure 2, although the spring lines are not very clear in the picture. The two bollards to the south of the berth are used for the stern lines and aft breast lines. The bollards on top of the breasting dolphins are used for the spring lines. A bollard just to the north of the conveyer belt is used for the forward breast lines and a bollard on the quay side of Berth 6 is used for the bow lines.
All lines, except the spring lines are long, which means that they cannot easily break when the ship makes small surge or sway motions. The spring lines are shorter, but appear to have less pretension to reduce the risk of line breakage. Higher pretension is required in the breast lines to pull the ship against the fenders.
In summary, the mooring layout is considered fairly optimal. The placement of breasting dolphins may not be optimal, but is costly to improve. Therefore, it is recommended to assess other options than changing the presently adopted mooring layout to reduce the risk of mooring line failures at Berth 5.
2.2. Possible Mitigation Measures to Improve the Mooring Configuration
There are several options available to improve the mooring conditions of a vessel at berth. There are in general two ways to achieve this:
- Reducing mooring loads by softening the mooring system;
- Reducing the response of the ship by constraining it more.
The first approach is generally applied at offshore berths in large seas or swells. Conventional buoy moorings and single point moorings are very soft allowing the ship to move freely. At offshore jetties the mooring dolphins are placed far away from the berthing line and often soft fenders are used to allow larger movements of the ship.
The second approach works such that the vessel is not able to build up momentum and therefore the mooring loads are smaller, even though the mooring system itself is stiffer. Alternative mooring systems are generally based on this philosophy.
Various options are available:
- Shore-based mooring lines,
- Softer fenders,
- A combination of softer fenders and shore-based mooring lines,
- MoorMaster vacuum mooring system,
- ShoreTension hydraulic mooring system,
- Dock Lock magnetic mooring system.
A general description of these options is presented in the following sections.
2.2.1. Shore-Based Mooring Lines
Conventionally, ships carry their own mooring lines that are used to moor the ship in the port. These lines are usually selected based on guidelines for potential loads due to wind and current, e.g., from the OCIMF Mooring Equipment Guidelines for tankers [10]. Potential loads due to long waves as experienced in the Port of Geraldton are generally not taken into account. Moreover, many bulk carriers carry old and worn-out lines that can break when the vessel visits a port with above-average environmental conditions, such as in Geraldton.
The purpose of providing mooring lines from the port will be to use stronger lines and to use lines that are guaranteed to be well-maintained. Another related advantage is that higher pretension can be applied to pull the ship against the fenders, and that the pretension can be monitored by port staff, thus not relying on the vessel’s crew.
Shore-based mooring lines can be deployed by connecting the lines between a bit on the ship and a bollard on the quay and using a towing motor to tension the line. The advantage of this is that only one motor is required to tension all lines. However, the capacity is limited. Moreover, it is not straightforward to change the pretension during the loading process, which may be needed due to draft changes or water level fluctuations. A better and more versatile, but also more costly, option would be to connect each line to a winch on the wharf. This solution was adopted at the Dahej LNG terminal in India to reduce vessel motions [5].
Four options are evaluated in this paper:
- Provide flexible nylon mooring tails. The tails can be connected to the ship’s lines to provide more flexibility. The ship’s winches can be used to provide pretension.
- Provide strong and stiff Dyneema lines with flexible nylon tails. These lines are strong and light for easy handling. The nylon tails provide the required flexibility to reduce the line loads. A towing motor is used to apply pretension.
- Provide strong and flexible nylon breast lines. These lines can be put under a high pretension without critically risking line breakage, because the ropes are very soft. A regular brake winch on the wharf is used to set and manually change pretension.
- Provide strong and fairly stiff breast lines connected to a constant tension winch on the wharf. The winch pays the line in and out as the vessel sways and yaws to maintain the set pretension value.
The first and second options with only mooring tails or lines provided are fairly cheap and easy to implement. The third and fourth options with winches on the wharf for the breast lines are based on the philosophy that it is beneficial to press the vessel tightly to the fenders. The two most extreme cases are considered here, one with a brake winch and one with a perfect constant tension winches. There are, however, also constant tension winches that do not respond immediately, or that only pay out or in outside certain render and recovery limits, respectively.
2.2.2. Soft Fenders
Generally, buckling fenders are used in harbours to absorb berthing energy and to protect quay walls and berthing dolphins. Common types are cell fenders and cone fenders, such as the Supercone fenders used in Geraldton. These fenders combine good energy absorption with a low rated maximum force, which is beneficial for the design of berthing dolphins. However, the initial stiffness (at small compressions) for these fenders is very high. As a result, the vessel is “bounced” away from the fender and can therefore surge easily without friction from the fender panels. It is also noted that the usually applied low-friction fender panels may be beneficial for the tensile loading on the core of the fender, but do not provide much resistance against surging of the vessel along the berth.
Softer fenders are used in many offshore oil and LNG jetties because of the good performance under adverse mooring conditions. Typical types are:
- pneumatic fenders, or
- air block fenders.
A picture of a pneumatic fender is shown in Figure 3. These fenders provide more flexibility so that the natural period of the moored ship is away from the swell period and so that the ship stays in the fenders when moored. A requirement for the latter is that adequate pretension is applied in the breast lines.
Figure 3.
Pneumatic fenders.
Pneumatic fenders are floating objects that can be connected to the wharf with chains. Air block fenders look more similar to cell fenders with a cylindrical core and a flat fender panel. However, the fender force is not significantly provided by the deformation of rubber, but by compression of the air in the cylinder.
2.2.3. Combination of Soft Fenders and Large Tension in Breast Lines
Mitigation measures considering either different mooring lines or different fenders were discussed in the previous sections. Some of these mitigation measures can be combined such that the two systems (mooring lines and fenders) work together to achieve a better reduction of vessel motions and/or reduction of mooring forces. The combinations that are investigated in this paper are:
- pneumatic fenders and shore-based nylon breast lines,
- pneumatic fenders and constant tension winches on the breast lines,
- air block fenders and constant tension winches on the breast lines.
The concept for all these three options is that the ship is pulled into the fenders using a large pretension force, which is more effective with the softer fenders than with stiff buckling fenders.
2.2.4. MoorMaster™ Vacuum Mooring System
MoorMaster is an innovative mooring concept by Cavotec (Christchurch, New Zealand) consisting of vacuum pads, which attach to the ship hull, and that are connected to a unit on the quay with flexible hydraulic arms. The pads can move freely in heave (to follow tidal movements and the loading of the ship) and provide stiffness and damping to the vessel movements in surge and sway. The forces in the pads are controlled by an electrical PID control system in the unit. The maximum force in a standard MM200 unit does not exceed 100 kN in surge and 200 kN in sway.
The MoorMaster mooring is initially very stiff and is therefore based on the philosophy that the ship should not build up momentum in the ship motions. In this way, the vessel motions are kept small, while the maximum force in the pads is capped at the abovementioned values. A large enough number of units needs to be adopted at the berth for the system to be effective and provide adequate damping. The units are not very effective when the vessel motions increase, since the maximum forces are capped at a fairly low value.
A description of prototype measurements and numerical modelling of MoorMaster units with Quaysim is given in Goring [8] and De Bont et al. [11], both for the container terminal of the Port of Salalah, Oman. A picture of a MoorMaster unit in Salalah is shown in Figure 4.
Figure 4.
MoorMaster unit connected to a container ship (Source: Cavotec [12]).
2.2.5. Other Alternative Mooring Systems
In addition to MoorMaster, other alternative mooring concepts have been developed in recent years. Two noteworthy systems are ShoreTenstion® from the KRVE (Rotterdam, The Netherlands) and Mampaey’s Dock Lock® (Dordrecht, The Netherlands). The ShoreTension system consists of a long cylinder with a hydraulically controlled piston that can move in and out. The unit is usually placed between two bollards on the quay and stiff rope is lead from the head of the piston through a pulley at the bollard to the fairlead and a bitt on the ship. ShoreTension units do not need to be connected to all mooring lines, but they can be added or replace a few lines, thus providing additional pretension and damping to the vessel motions. A (non-technical) description of the ShoreTension mooring system is given by Van der Burg [13] and a numerical investigation of the behaviour of the ShoreTension system is provided by Van Deyzen et al. [14].
The Dock Lock® system consists of electronically controlled magnets connected to the main unit with hydraulic arms. The strong magnetic field guarantees a solid attachment to the ship’s hull, but does not penetrate into the ship beyond the hull plate. The Dock Lock system is currently used on bunker vessels that are used to transfer fuel to ships in the port, but can also be used on berths with the objective to reduce vessel motions due to long waves. A non-technical description of the system is given by Van Reenen [15]. The Dock Lock system is not part of the modelling investigation presented in this paper. However, this system could be included in further studies.
3. Methodology
The effectiveness of the mitigation measures is tested using numerical simulation of the motions of the moored ship at the berth. A schematic overview if the modelling process is presented in Figure 5.
Figure 5.
Flow chart of the numerical modelling approach.
The wave forcing is obtained from the results of available wave simulations at the berth with Funwave [16] from MetOcean Solutions [17,18]. The incident short wave frequency spectra were obtained from the time series of surface elevations. The long wave components in the standing long wave pattern along the berth were derived from the time series of surface elevations and velocities using the Matlab toolbox DIWASP [19].
The wave forces are subsequently determined with Wavescat [20] from the incident short and long wave frequency-direction spectra at berth, including the effects of diffraction around the ship hull and interaction with the quay. The wave forces are the exciting forces on the moored ship. The simulation of ship motions with the interaction with the mooring system is modelled with Quaysim [11].
3.1. Wavescat
The Baird in-house model Wavescat is a 3D wave diffraction model based on the boundary-integral equation method (BIEM). It is possible to include multiple bodies, e.g., to model the effect of a revetment close to the ship. The results are added mass and damping coefficients, first order wave forces, and drift forces.
3.2. Quaysim
The ship motions for the dynamic mooring analysis are determined with the Baird in-house model Quaysim. This program comprises a time domain simulation to analyse the dynamic behaviour of a moored ship subject to combined swell and long waves. The mooring line and fender loads follow from the computed ship motions and the characteristics of the mooring lines and fenders. Because the computations are made in the time-domain, nonlinearities such as the asymmetry in the mooring system (stiff into the fenders and soft away from the fenders), nonlinear characteristics of mooring lines and fenders, the effect of fender friction, and the effect of low-frequency hydrodynamic damping can all be incorporated in the simulation. The added mass and damping coefficients are obtained from a pre-computed hydrodynamic file as prepared with Wavescat.
Different mooring configurations can be tested by including different characteristics of mooring lines and fenders. A mooring system with MoorMaster™ units can also be investigated. For this, the PID control system in the units is simulated in the model to control the forces in the vacuum pads.
4. Model Set-Up
Dynamic mooring simulations were carried out with the time domain moored ship response model Quaysim to investigate the effect of various mitigation measures, as described in Section 2, on a vessel moored at Berth 5.
Berth 5 consists of a deck on piles over a revetment with an approximated steepness of 1:1.75. The effect of the revetment was included in the hydrodynamic modelling. Forces in sway and moments in yaw are, therefore, also exerted on the vessel even though the long waves were assumed parallel to the berth.
The vessel is a typical Panamax bulk carrier with a draft close to the maximum allowable draft in the Port of Geraldton. A laden vessel is considered, because laden vessels generally respond more in long waves. The main dimension of the vessel are given in Table 1.
Table 1.
Main dimensions of the Panamax bulk carrier.
| Length Over All | 225.00 | m |
| Beam | 32.24 | m |
| Draft | 12.50 | m |
A total of 11 mooring configurations were considered in the dynamic mooring simulations. The configurations are one Base Case (existing conditions) and ten mitigation measures based on the ideas and optimisation philosophies outlined in Section 2, namely:
- nylon tails,
- Dyneema lines with nylon tails,
- nylon breast lines,
- constant tension winches on breast lines,
- pneumatic fenders,
- air block fenders,
- pneumatic fenders + nylon breast lines,
- pneumatic fenders + constant tension winches on breast lines,
- air block fenders + constant tension winches on breast lines,
- MoorMaster™.
The long-elongation characteristics of the polypropylene and braided nylon mooring ropes are presented in Figure 6 and the load-compression characteristics of the three tested fender types are presented in Figure 7.
Figure 6.
Mooring line load-elonation curves for polypropylene (―) and braided nylon, stiff (- -) and soft (·−·).
Figure 7.
Fender load-compression curves for Supercone fender SCN 1200 E1.1 (―), Pneumatic fender 2500 × 4000 (− −) and airblock fender 1800 × 1800 (·−·).
The chosen characteristic for polypropylene is fairly stiff, which is conservative with respect to mooring line forces. For nylon ropes there is more variety in characteristics. The variability depends on the rope manufacturer, but also on factors that are not easy to control, such as age of the line, water absorption, etc. The softer of the two characteristics for nylon is used for nylon breast lines and the stiffer one for the nylon tails, which appeared most conservative in these cases.
Base Case
The Base Case is a standard mooring configuration and mooring layout as currently adopted in port. The Panamax bulk carrier is assumed to carry 14 polypropylene mooring lines with a breaking strength of 607 kN. The mooring layout is 3-2-2 for the number of bow/stern, breast and spring lines, forward and aft, as shown in Figure 8. The fenders are Supercone 1200 E1.1 fenders. This fender has a rated energy absorption of 668 kNm and a rated fender force of 1073 kN. There are five fenders at the berth. The aft fender (not shown in Figure 8) does not touch the vessel. The forward fender is assumed to leave a gap of 1 m with the ship’s hull.
Figure 8.
Mooring layout for the Panamax bulk carrier moored at Berth 5. All mooring legs are treated as double or triple mooring lines as indicated.
A pretension of 5 t is assumed in the bow, stern and breast lines, and a pretension of 2 t is assumed in the stern lines. A fender friction coefficient of 0.2 was adopted.
The mooring layout, mooring configuration, pretension and fender friction values for all other mitigation measures are the same as the Base Case layout unless otherwise noted.
Nylon Tails: Nylon tails with a length of 22 m and a breaking strength of 882 kN are provided by the port and connected to all lines to provide addition flexibility of the mooring lines.
Dyneema Lines with Nylon Tails: Dyneema mooring lines with a breaking strength of 701 kN and 11 m long nylon tails with a break strength of 882 kN are used.
Nylon Breast Lines: Four nylon breast lines with a breaking strength of 1216 kN on a brake winch on the wharf are supplied by the port and used instead of the ship’s own breast lines. The pretension in the breast lines is set at 25 t, while the pretension in the ship’s own lines remains unchanged.
Constant Tension Winches on Breast Lines: Four strong breast lines on a constant tension winch on the wharf are supplied by the port and used instead of the ship’s own breast lines. The pretension in the constant tension winches is set at 30 t. The pretension in the ship’s own lines remains unchanged.
Pneumatic Fenders: Yokohama pneumatic fenders 2500 × 4000 (diameter × width in mm) with an initial internal pressure of 0.5 bar are used instead of the existing Supercone fenders. The rated energy absorption of this pneumatic fender of 663 kNm is similar to the energy absorption of the Supercone fender. The rated fender force is 1381 kN. A fender friction coefficient of 0.4 was adopted for the friction between the rubber tyres, which protect the fender, and the ship hull.
Air Block Fenders: Yokohama air block fenders 1800 × 1800 (height x diameter in mm) with an initial internal pressure of 1.0 bar are used instead of the existing Supercone fenders. The rated energy absorption of this pneumatic fender of 682 kNm is similar to the energy absorption of the Supercone fender. The rated fender force is 1491 kN.
Pneumatic Fenders + Nylon Breast Lines: A combined mitigation measure is adopted consisting of 2500 × 4000 Yokohama pneumatic fenders and four nylon breast lines with a break strength of 1216 kN and a pretension of 25 t on a brake winch on the wharf. A fender friction coefficient of 0.4 was adopted.
Pneumatic Fenders + Constant Tension Winches: A combined mitigation measure is adopted consisting of 2500 × 4000 Yokohama pneumatic fenders and four breast lines on constant tension winches on the wharf, set to provide a constant force of 30 t. A fender friction coefficient of 0.4 was adopted.
Air Block Fenders + Constant Tension Winches: A combined mitigation measure is adopted consisting of Yokohama air block fenders 1800 × 1800 and four breast lines on constant tension winches on the wharf, set to provide a constant force of 30 t.
MoorMaster™: Four MoorMaster MM200 units are adopted on each of the three central breasting dolphins for a total of 12 MoorMaster units. The ship may still connect its mooring lines to the bollards, but the lines were neglected in the mooring simulations. The number of units (12) is chosen here as an example, but should be optimized during more detailed design studies.
5. Results
5.1. Long Waves in the Harbour
Several standing wave patterns occur in the harbour basin. Standing waves in the East-West direction travel along the southern berths and standing waves in the North-South direction travel along the western berths. The natural periods of the harbour basin in these directions are:
- East-West direction, first mode between 160 s and 180 s, and second mode near 65 s,
- North-South direction, first mode near 90 s and second mode near 45 s.
The two modes in the East-West direction do not have a ratio of 2:1 due to effects of the tug boat harbour and the irregular shape near the harbour entrance.
The wave conditions at the berth were obtained from the results of Boussinesq wave modelling with Funwave by MetOcean Solutions [17] to study the effect of extension of the Western Breakwater. Four measured offshore wave conditions were considered by Metocean Solutions and simulated in Funwave for the existing harbour layout and breakwater extensions of 200 m and 350 m.
The results of the Funwave runs considered in this paper are given in Table 2. Events 2 and 3 were very similar. Hence, only one of these events was considered.
Table 2.
Significant long wave height for the considered events and breakwater extensions at the 20 m contour in the channel (Offshore), the western end of Berth 3 (B3W) and the centre of Berth 5 (B5).
| Event | Breakwater | Hm0,LPW | ||
|---|---|---|---|---|
| Extension | Offshore | B3W | B5 | |
| Event 1 | 0 m | 0.09 | 0.18 | 0.20 |
| 200 m | 0.09 | 0.15 | 0.18 | |
| 350 m | 0.09 | 0.13 | 0.17 | |
| Event 3 | 0 m | 0.07 | 0.14 | 0.16 |
| 200 m | 0.07 | 0.12 | 0.15 | |
| 350 m | 0.07 | 0.11 | 0.13 | |
| Event 4 | 0 m | 0.10 | 0.22 | 0.23 |
| 200 m | 0.10 | 0.18 | 0.20 | |
| 350 m | 0.10 | 0.15 | 0.18 | |
Long wave energy from the Funwave model runs were analysed at three locations (bow, mid-ship, stern) of each Berth. Directional spectra were computed with the EMEP method using the DIWASP wave analysis toolbox. Frequency spectra for surface elevation and currents (berth parallel and berth normal) were also calculated at berth locations.
Figure 9 presents a comparison of the surface elevation and current (E-W, N-S) frequency spectra for Event 1 for the 0 m and 350 m breakwater extension cases at the entrance to Geraldton Harbour. Figure 10 presents a comparison of the surface elevation and current (berth-parallel, berth-normal) frequency spectra for Event 1 for the 0 m and 350 m breakwater extension cases at the middle of Berth 5.
The Funwave model results are similar in character to measured long wave spectra [18], however the standing wave character along Berths 5 and 6 observed in some measured data is not as evident in the Funwave outputs provided for this investigation.
In summary, the breakwater extension only provides limited reduction of the long waves in the harbour, especially at the lower frequencies (f < 0.015 Hz) that are important for the motions of the moored ships.
Figure 9.
Surface elevation (top), East-West current (middle) and North-South current frequency spectra for existing and 350 m breakwater cases at the port entrance — Event 1.
Figure 10.
Surface elevation (top), Berth Parallel (X) current (middle) and Berth Normal (Y) current frequency spectra for existing and 350 m breakwater cases at middle of Berth 5 — Event 1.
5.2. Vessel Motions and Mooring Forces
The results of moored ship motions, mooring line forces, and fender compressions from the Quaysim simulations are provided in this section. The focus in this paper is on the comparison between different mooring systems. Comparisons between numerical results and prototype measurements of moored ship motions are available for ports with comparable long wave problems, such as Tomakomai Port, Japan [21,22] and the Port of Salalah, Oman [11]. The results of the Base Case are discussed first in this section to assess the behaviour of the ship and the interaction with mooring lines and fenders. Subsequently, the improvements by extending the Western Breakwater or changing the mooring configuration are discussed.
5.2.1. Results for the Base Case
The results of significant and maximum ship motions, maximum mooring line forces, and maximum fender compressions for the Base Case are given in Table 3, Table 4, Table 5 and Table 6, respectively. The maximum values are expected values of the maximum per three hours. It appears that the most prominent motions are the horizontal motions, surge, sway, and yaw. The spectra of these motions for Event 1 are given in Figure 11.
Table 3.
Significant peak-to-peak vessel motions for the Base Case.
| Mode of Motion | Unit | Event | ||
|---|---|---|---|---|
| 1 | 3 | 4 | ||
| Surge | m | 2.66 | 2.30 | 3.00 |
| Sway | m | 0.71 | 0.69 | 0.86 |
| Heave | m | 0.16 | 0.15 | 0.24 |
| Roll | deg | 0.37 | 0.32 | 0.43 |
| Pitch | deg | 0.16 | 0.15 | 0.25 |
| Yaw | deg | 1.51 | 1.18 | 1.57 |
Table 4.
Maximum peak-to-peak vessel motions for the Base Case.
| Mode of Motion | Unit | Event | ||
|---|---|---|---|---|
| 1 | 3 | 4 | ||
| Surge | m | 4.04 | 3.19 | 4.66 |
| Sway | m | 1.09 | 0.89 | 1.22 |
| Heave | m | 0.26 | 0.23 | 0.35 |
| Roll | deg | 0.68 | 0.53 | 0.72 |
| Pitch | deg | 0.28 | 0.23 | 0.39 |
| Yaw | deg | 2.64 | 1.95 | 2.53 |
Table 5.
Maximum mooring line forces for the Base Case.
| Mooring lines | Unit | Event | ||
|---|---|---|---|---|
| 1 | 3 | 4 | ||
| Stern lines | kN | 200 | 144 | 209 |
| Aft breast lines | kN | 285 | 189 | 277 |
| Aft spring lines | kN | 336 | 258 | 317 |
| Forward spring lines | kN | 298 | 232 | 364 |
| Forward breast lines | kN | 223 | 178 | 236 |
| Bow lines | kN | 222 | 178 | 233 |
Table 6.
Maximum fender compressions for the Base Case.
| Fender | Unit | Event | ||
|---|---|---|---|---|
| 1 | 3 | 4 | ||
| F1 (aft) | m | 0.00 | 0.00 | 0.00 |
| F2 | m | 1.01 | 0.70 | 0.85 |
| F3 | m | 0.29 | 0.21 | 0.32 |
| F4 | m | 0.49 | 0.43 | 0.51 |
| F5 (forward) | m | 0.18 | 0.06 | 0.24 |
Figure 11.
Sprectra of surge, sway. and yaw for the Base Case, Event 1.
The peak of the motions is near 0.11 Hz (T = 90 s) for the horizontal motions, which is near the first resonant mode of the harbour basin. There is a very low-frequency peak in the sway motions too, which is due to coupling between sway and yaw.
The PIANC guidelines for maximum vessel motions for bulk carriers loaded with a conveyer belt shiploader are 5 m for surge, 2.5 m for sway, and 3° for yaw [23]. The calculated ship motions are within the thresholds for all three events.
The PIANC guideline for the maximum allowable mooring line force for synthetic ropes is 50% of the break strength [23], which is equal to 304 kN. This value is exceeded in the spring lines for Events 1 and 4. All line forces are within the limits for Event 3. The fact that design line forces are exceeded and guidelines for maximum vessel motions are not is consistent observations at the port that mooring line failures are a concern, while vessel motions are generally not a concern.
The long wave height for Event 3 at Berth 3 at 0.14 m is slightly higher than the threshold long wave height of 0.12 m for operations at Berth 5. The maximum line forces would, therefore, have been expected to just exceed the design line force for Event 3. The fact that the calculated maximum line force is slightly lower may due to one or a combination of the following factors:
- some worn-out mooring lines break at lower loads than the design line force,
- the vessel response is slightly underestimated due to approximations in the calculation of the long wave forces on the ship, or
- the vessel response is larger in some conditions in reality due to the effect of wind.
The fender compression exceeds the rated fender deflection for the Supercone fender of 0.86 m for Event 1. This could result in damage of the fender and excessive loads on the breasting dolphin. It is not known if this happens in reality in the port and, therefore, requires further investigation.
5.2.2. Results for Extending the Western Breakwater and Different Mooring Configurations
The results of maximum horizontal vessel motions are given in Table 7, Table 8 and Table 9 for surge, sway, and yaw, respectively. All values are maximum peak-to-peak values. The results of maximum mooring line forces in bow/stern lines, breast lines, and spring lines are given in Table 10, Table 11 and Table 12, respectively. Only the maximum of the line force in each group of mooring lines, fore or aft, is given. The results of maximum fender compressions are given in Table 13. Only the maximum of the compressions of the five fenders at Berth 5 are given.
Table 7.
Maximum surge motions (m).
| Mooring Config./Breakw. Ext. | Event | ||
|---|---|---|---|
| 1 | 3 | 4 | |
| Base case, polypropylene lines | 4.04 | 3.19 | 4.66 |
| Breakwater extension, 200 m | 4.00 | 3.03 | 4.01 |
| Breakwater extension, 350 m | 3.64 | 2.62 | 3.51 |
| Nylon tails | 4.65 | 3.57 | 4.84 |
| Dyneema lines with nylon tails | 2.82 | 2.21 | 3.84 |
| Nylon breast lines | 4.19 | 2.56 | 3.73 |
| Constant tension winches | 4.16 | 2.46 | 3.79 |
| Pneumatic fenders | 3.74 | 2.18 | 4.14 |
| Air block fenders | 4.20 | 3.17 | 4.75 |
| Pneumatic f. + Nylon breast lines | 1.86 | 1.23 | 2.96 |
| Pneum. f. + Const. tens. winches | 2.45 | 1.15 | 2.92 |
| Air bl. f. + Const. tens. winches | 3.80 | 2.22 | 3.71 |
| MoorMaster (12 units) | 0.52 | 0.26 | 3.97 |
Table 8.
Maximum sway motions (m).
| Mooring Config./Breakw. Ext. | Event | ||
|---|---|---|---|
| 1 | 3 | 4 | |
| Base case, polypropylene lines | 1.09 | 0.89 | 1.22 |
| Breakwater extension, 200 m | 1.10 | 0.90 | 1.05 |
| Breakwater extension, 350 m | 0.97 | 0.83 | 0.94 |
| Nylon tails | 1.22 | 0.90 | 1.30 |
| Dyneema lines with nylon tails | 0.84 | 0.71 | 0.98 |
| Nylon breast lines | 0.65 | 0.29 | 0.69 |
| Constant tension winches | 0.31 | 0.28 | 0.66 |
| Pneumatic fenders | 1.46 | 1.01 | 1.64 |
| Air block fenders | 1.45 | 1.11 | 1.72 |
| Pneumatic f. + Nylon breast lines | 0.89 | 0.72 | 0.89 |
| Pneum. f. + Const. tens. winches | 1.20 | 0.87 | 0.93 |
| Air bl. f. + Const. tens. winches | 0.97 | 0.70 | 0.75 |
| MoorMaster (12 units) | 0.26 | 0.18 | 1.01 |
Table 9.
Maximum yaw motions (deg).
| Mooring Config./Breakw. Ext. | Event | ||
|---|---|---|---|
| 1 | 3 | 4 | |
| Base case, polypropylene lines | 2.64 | 1.95 | 2.53 |
| Breakwater extension, 200 m | 2.39 | 1.64 | 2.21 |
| Breakwater extension, 350 m | 2.11 | 1.33 | 2.02 |
| Nylon tails | 2.59 | 1.96 | 2.67 |
| Dyneema lines with nylon tails | 1.53 | 1.06 | 1.90 |
| Nylon breast lines | 1.30 | 0.67 | 1.25 |
| Constant tension winches | 0.57 | 0.52 | 0.93 |
| Pneumatic fenders | 2.09 | 1.45 | 2.06 |
| Air block fenders | 2.59 | 2.05 | 2.77 |
| Pneumatic f. + Nylon breast lines | 1.26 | 1.04 | 1.40 |
| Pneum. f. + Const. tens. winches | 1.83 | 1.38 | 1.49 |
| Air bl. f. + Const. tens. winches | 1.51 | 1.29 | 1.29 |
| MoorMaster (12 units) | 0.78 | 0.58 | 1.92 |
Table 10.
Maximum forces in bow or stern lines (kN).
| Mooring Config./Breakw. Ext. | Event | ||
|---|---|---|---|
| 1 | 3 | 4 | |
| Base case, polypropylene lines | 222 | 178 | 233 |
| Breakwater extension, 200 m | 201 | 168 | 203 |
| Breakwater extension, 350 m | 176 | 148 | 187 |
| Nylon tails | 219 | 170 | 239 |
| Dyneema lines with nylon tails | 335 | 241 | 529 |
| Nylon breast lines | 187 | 140 | 208 |
| Constant tension winches | 196 | 142 | 212 |
| Pneumatic fenders | 208 | 154 | 249 |
| Air block fenders | 253 | 193 | 273 |
| Pneumatic f. + Nylon breast lines | 167 | 135 | 197 |
| Pneum. f. + Const. tens. winches | 188 | 152 | 192 |
| Air bl. f. + Const. tens. winches | 219 | 172 | 215 |
| MoorMaster (12 units) | - | - | - |
Table 11.
Maximum forces in breast lines (kN).
| Mooring Config./Breakw. Ext. | Event | ||
|---|---|---|---|
| 1 | 3 | 4 | |
| Base case, polypropylene lines | 285 | 189 | 277 |
| Breakwater extension, 200 m | 249 | 161 | 234 |
| Breakwater extension, 350 m | 216 | 141 | 212 |
| Nylon tails | 268 | 182 | 244 |
| Dyneema lines with nylon tails | 304 | 261 | 490 |
| Nylon breast lines | 342 | 305 | 365 |
| Constant tension winches | 296 | 296 | 296 |
| Pneumatic fenders | 271 | 183 | 269 |
| Air block fenders | 317 | 222 | 312 |
| Pneumatic f. + Nylon breast lines | 371 | 335 | 404 |
| Pneum. f. + Const. tens. winches | 297 | 297 | 297 |
| Air bl. f. + Const. tens. winches | 297 | 297 | 297 |
| MoorMaster (12 units) | - | - | - |
Table 12.
Maximum forces in spring lines (kN).
| Mooring Config./Breakw. Ext. | Event | ||
|---|---|---|---|
| 1 | 3 | 4 | |
| Base case, polypropylene lines | 336 | 258 | 364 |
| Breakwater extension, 200 m | 323 | 240 | 296 |
| Breakwater extension, 350 m | 276 | 193 | 273 |
| Nylon tails | 305 | 224 | 301 |
| Dyneema lines with nylon tails | 497 | 340 | 651 |
| Nylon breast lines | 292 | 175 | 272 |
| Constant tension winches | 252 | 145 | 251 |
| Pneumatic fenders | 281 | 153 | 310 |
| Air block fenders | 324 | 254 | 376 |
| Pneumatic f. + Nylon breast lines | 149 | 99 | 206 |
| Pneum. f. + Const. tens. winches | 185 | 89 | 222 |
| Air bl. f. + Const. tens. winches | 282 | 150 | 285 |
| MoorMaster (12 units) | - | - | - |
Table 13.
Maximum fender compressions (m).
| Mooring Config./Breakw. Ext. | Event | ||
|---|---|---|---|
| 1 | 3 | 4 | |
| Base case, polypropylene lines | 1.01 | 0.70 | 0.85 |
| Breakwater extension, 200 m | 0.87 | 0.60 | 0.68 |
| Breakwater extension, 350 m | 0.71 | 0.47 | 0.66 |
| Nylon tails | 1.00 | 0.69 | 0.90 |
| Dyneema lines with nylon tails | 0.63 | 0.41 | 0.92 |
| Nylon breast lines | 0.59 | 0.37 | 0.66 |
| Constant tension winches | 0.39 | 0.37 | 0.51 |
| Pneumatic fenders | 1.47 | 1.25 | 1.57 |
| Air block fenders | 1.27 | 1.03 | 1.31 |
| Pneumatic f. + Nylon breast lines | 1.52 | 1.39 | 1.58 |
| Pneum. f. + Const. tens. winches | 1.74 | 1.54 | 1.53 |
| Air bl. f. + Const. tens. winches | 1.16 | 1.03 | 1.01 |
| MoorMaster (12 units) | 0.23 | 0.21 | 0.61 |
The Base Case results are presented first in tables, which are a repeat of the results presented in the previous section. Subsequently, the results for the two breakwater extensions and the 10 different mooring configurations are presented.
5.2.3. Discussion of the Results for Extension of the Western Breakwater
The results show the construction of the breakwater extension leads to a decrease in the ship motions and mooring line forces. The decrease in the ship motions is approximately 20% for the 350 m breakwater extension. This is less than the 35% reduction in long wave height in the port as found from the Funwave simulations [4]. The reason for this is that most long wave energy reduction is near the second harmonic harbour resonance mode near a period of 45 s, while the first resonance mode near 90 s is much less affected. The larger Panamax ships in laden condition respond mostly to the long waves near 90 s in surge, sway, and yaw, so the response is not much affected.
5.2.4. Discussion of the Results for Different Mooring Configurations
The main observations from the results of the vessel motions and mooring forces for different mooring configurations are:
- The forces are slightly reduced by using nylon mooring tails.
- The forces become larger when using Dyneema mooring lines with nylon tails. However, this could, in practice, still be a better solution than the ship’s mooring lines, since the shore-based lines are better maintained.
- Addition of strong nylon breast lines under a high pretension of 25 t or breast lines under a constant tension of 30 t significantly reduces the vessel motions and mooring forces.
- Use of pneumatic fenders leads to a similar significant improvement as the nylon breast lines, while the improvement with air block fenders is less. This is because the pneumatic fenders are softer than air block fenders.
- MoorMaster units effectively reduce the vessel motions. However, the motions exceed the thresholds for maximum excursions of the arms of the MoorMaster units for Event 4. This means that more than the 12 units as tested are required.
- The largest reduction of vessel motions and mooring forces, not considering the MoorMaster units, are achieved with the combination of pneumatic fenders and nylon breast lines or constant tension winches.
It is concluded that the best improvement is achieved by applying a combination of pneumatic fenders and constant tension winches set to 30 t, or nylon breast lines with a pretension of 25 t. These two concepts achieve the optimal configuration whereby the vessel is pulled into the soft fenders with a constant large force and stays in the fenders when the vessel moves in sway and yaw due to long wave action.
5.3. Threshold Long Wave Heights
A set of additional simulations was carried out for the most promising mitigation measures. The design mooring line force of 304 kN is exceeded for the Base Case when the long wave height at Berth 3 is equal to 0.16 m in the simulations. It is assessed that this limit corresponds to the currently adopted threshold of 0.12 m in the port. The difference is due to the reasons as explained in Section 5.1. The thresholds for the mitigation measures, as presented in Table 14, were determined as the value for which the design mooring line force is exceeded, corrected for the difference between the calculated and adopted thresholds for the Base Case.
Table 14.
Threshold long wave height (m, at Berth 3) for operations at Berth 5.
| Mooring Configuration/Breakwater Ext. | Threshold |
|---|---|
| Base case, polypropylene lines | 0.12 |
| Breakwater extension, 350 m | 0.15 |
| Nylon breast lines | 0.14 |
| Constant tension winches | 0.14 |
| Pneumatic fenders | 0.15 |
| Pneumatic fenders + Nylon breast lines | 0.18 |
| Pneumatic fenders + Const. tens. winches | 0.18 |
The observations from the values in Table 14 are similar to the observations discussed in the previous section. Additional observations are:
- The effectiveness of the 350 m breakwater extension, nylon breast lines, constant tension winches, and pneumatic fenders are fairly similar.
- A significantly better improvement is achieved when combining the pneumatic fenders with nylon breast lines or constant tension winches.
- It is interesting to note that the effectiveness of pneumatic fenders and nylon breast lines or constant tension winches is more than the sum of the improvements of pneumatic fenders and tensioned breast lines (nylon or constant tension). This confirms the statement that mooring lines and fenders work very well together in the combined option to keep the vessel in the fenders and reduce the surge motions.
It is noted that only the two most extreme types of winches were tested for the winches on the wharf to connect the breast lines, i.e., brake winches and perfect constant tension winches. As mentioned in Section 3.1, there are also constant tension winches that do not respond immediately, or that do only pay out or in outside certain render and recovery limits, respectively. These winches may perform slightly better. Performance data from the winch manufacturer would be required to adequately model these winches in order to optimise this concept.
6. Conclusions
Geraldton Harbour experiences frequent downtime related to (risk of) breakage of mooring lines due to long waves that are generated as swells propagate over the shallow reefs to the north and northwest of the port. An analysis of these problems and possible countermeasures were discussed in this paper, focusing on Berth 5 for iron ore export.
From an assessment of the existing berth and current practice to moor vessels, it is concluded that the layout of mooring lines is fairly optimal. The berthing dolphins are far apart, which may cause excessive yawing of the vessel. However, this is costly to improve, so that it is recommended to assess other options to reduce the risk of mooring line failures at Berth 5.
Ten alternatives for changing the mooring configuration at Berth 5 were analysed along with extension of the Western Breakwater with 200 m or 350 m (without changing the mooring configuration). Dynamic mooring simulations were carried out for the existing situation (Base Case), the two breakwater extensions, and the 10 alternative mooring configurations. Available computed long wave records at the berth were used as input.
The best reduction of vessel motions and mooring line forces is achieved by installing a combination of pneumatic fenders and constant tension winches set to 30 t, or nylon breast lines with a pretension of 25 t. The idea behind these concepts is that the vessel is pulled into the fenders and keeps resting against the fenders when the vessel moves in sway and yaw due to long waves. The threshold long wave height for the long wave height in the port for these two alternatives was determined at 0.18 m. This is a significant improvement from the presently adopted threshold of 0.12 m.
Slightly better results may be achieved with constant tension winches that do not keep the line force perfectly constant, but that pay in when the force is below a certain recovery limit and pay out above a certain render limit. It is recommended to further investigate this option using winch performance data from manufacturers.
Author Contributions
Wim van der Molen wrote Section 1, Section 2, Section 3, Section 4, Section 5 and Section 6, except Section 2.1 and Section 5.1; Doug Scott reviewed Section 1, Section 2, Section 3, Section 4, Section 5 and Section 6; David Taylor wrote Section 5.1; Trevor Elliott wrote Section 2.1 and reviewed Section 5.
Conflicts of Interest
This study was undertaken as part of a project to investigate solutions to mitigate long waves and related motions of moored ships in the Geraldton Harbour for the Mid West Ports Authority.
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