KUBLA PORTS 2014 TECHNICAL MANUAL © Kubla Ltd. 2014. All rights reserved ©Kubla Ltd. 2013-2014. All rights reserved Technical Manual Kubla Ports 2014 Rev. 00 Dec. 2013 CONTENTS 1 Introduction .................................................................................................................................... 1 2 Co-ordinates and units .................................................................................................................... 2 3 Determination of channel dimensions............................................................................................ 3 Overview ............................................................................................................................................. 3 Design Vessels ..................................................................................................................................... 3 Points along channel ........................................................................................................................... 3 Manual overrides ................................................................................................................................ 3 Order of calculations ........................................................................................................................... 4 4 Bend radii ........................................................................................................................................ 5 5 Determination of channel Bottom Levels ....................................................................................... 6 Overview ............................................................................................................................................. 6 Non-tidal vessels ................................................................................................................................. 6 Tidal vessels ........................................................................................................................................ 6 Final Bottom Levels ............................................................................................................................. 7 6 Determination of channel widths ................................................................................................... 8 Overview ............................................................................................................................................. 8 Determination of parameters ........................................................................................................... 10 Tidal Vessels ...................................................................................................................................... 10 Widths in bends ................................................................................................................................ 11 Final channel widths ......................................................................................................................... 11 7 Determination of dredging quantities .......................................................................................... 12 ©Kubla Ltd. 2014 Table of Contents Technical Manual Kubla Ports 2014 Rev. 00 Dec. 2013 1 INTRODUCTION Kubla Ports is software which facilitates the design of Approach Channels, allowing many channel alignment options to be considered in very little time. Once site data is loaded into the software and channel alignments are drawn by the user, the software automatically calculates appropriate channel dimensions (e.g. widths, depths) based on the concept design method described in PIANC’s guideline ‘Approach Channels - A Guide for Design’ (1997). If necessary, the user can override automatically calculated dimensions based on their judgement and experience. Whether the channel dimensions are automatically or manually defined, the software will instantly calculate and display the dredging quantities. This Technical Manual describes how Kubla Ports 2014 determines channel dimensions and calculates dredging quantities. A description of how to use the software is provided separately in the User Manual, which is available from www.kublasoftware.com. Important Note: No software is a substitute for engineering knowledge and judgement. Kubla Ports is designed to make it easier and quicker for a qualified and experienced professional to develop concept design options for approach channels. The user is assumed to understand the channel concept design process described in the PIANC Guidelines. They should also familiarise themselves with how the software works by reading this Technical Manual, and apply their experience to the design process, and never blindly accept the designs that the software produces. ©Kubla Ltd. 2014 Page 1 of 12 Technical Manual Kubla Ports 2014 Rev. 00 Dec. 2013 2 CO-ORDINATES AND UNITS Kubla Ports works in Easting and Northing co-ordinates, and with elevations relative to Mean Sea Level (MSL), all in metres. No other co-ordinate systems or units are currently supported. If you have data, such as bathymetry or wave heights, in another co-ordinate system it will be necessary to convert it before you load it into Kubla Ports. Converters are available which enable different co-ordinate systems to be converted into, for example, the Universal Transverse Mercador (UTM)system which can be used by Kubla Ports. ©Kubla Ltd. 2014 Page 2 of 12 Technical Manual Kubla Ports 2014 Rev. 00 Dec. 2013 3 DETERMINATION OF CHANNEL DIMENSIONS OVERVIEW Channel dimensions are determined by Kubla Ports based on the concept design method in the PIANC Guidelines ‘Approach Channels - A Guide for Design’ (1997). Using these guidelines, and some necessary assumptions, the minimum channel dimensions are determined for each of the design vessels and the minimum overall dimensions for the channel are found. DESIGN VESSELS The user can specify as many design vessels as they require. If more than one design vessel is specified then the design process will be repeated for each one in turn and the most critical vessel will be used to set the channel dimensions. It may be that the channel’s width, for example, is set based on the requirements of one design vessel and the channel’s depth is set based on another. The calculations outlined in the following pages are described for a single vessel. If more than one design vessel is specified then these same calculations will be repeated. If the design vessel has different properties leaving and returning (e.g. if it’s always unladen leaving the port then it will have a lower draught) then the calculation will be repeated for each direction of transit. POINTS ALONG CHANNEL Since some design parameters (e.g. waves) can vary along the channel, channel dimensions are determined by checking a series of points along the channel. These points are spaced along the channel with the following criteria: Points are not more than 50m apart In bends, points are not more than 5° apart around the curvature of the bend The critical point for a particular channel element (i.e. straight section or bend) is found. This is the point which requires the deepest or widest channel section, and the width and depth for the whole channel element is set based on this point. While widths and depths cannot vary within a single channel element, it is possible for the dimensions of channel elements to be different. MANUAL OVERRIDES It is possible for the user to manually override dimensions for a channel element, such as the width, the depth or the radius for bends. In this case Kubla Ports will continue to automatically calculate the dimensions which have not been overridden. For example, if the user manually overrides the depth of a channel element, but not the width, then the software will calculate the channel width using the depth which has been specified manually. ©Kubla Ltd. 2014 Page 3 of 12 Technical Manual Kubla Ports 2014 Rev. 00 Dec. 2013 ORDER OF CALCULATIONS Channel dimensions are interrelated. For example, a shallower channel may require additional width to compensate. A further complication comes from the bend radii, as these affect the location of the centre line points along the channel which are checked to determine channel widths and depths. In order to avoid these inter-dependencies, it is necessary to fix the order of calculations and to make some assumptions in the earlier calculations regarding the later ones. Channel dimensions are calculated in the order below using the methods described in the following pages. 1. Bend Radii 2. Channel bottom levels 3. Channel widths ©Kubla Ltd. 2014 Page 4 of 12 Technical Manual Kubla Ports 2014 Rev. 00 Dec. 2013 4 BEND RADII Figure 5.8 of the PIANC Guidelines gives a relationship between a vessel’s rudder angle and the ratio between the bend radius and the ship’s length (R/Lpp), for a number of different depth/draft ratios. Bend radii are determined by Kubla Ports using this relationship. Since the bend radii are generally set before the channel depths are known it is necessary to make an assumption regarding the depth/draft ratio to use to determine the bend radii. For the sake of simplicity and speed, this is assumed to be at a minimum value of 1.1 for each design vessel. The following relationship is estimated from Figure 5.8 of the PIANC Guidelines for a vessel with a depth/draft ratio of 1.1. 25 20 y = 0.0175x2 - 1.245x + 27.1 R/Lpp 15 PIANC data Data used in Kubla Ports 10 5 0 0 10 20 30 40 Rudder Angle (°) Any rudder angles greater than 35° use the same ratio as for 35°. Rudder angles below 5° are not permitted. The ratio obtained following these rules is multiplied by the vessel’s length between perpendiculars (Lpp) to obtain the bend radius. ©Kubla Ltd. 2014 Page 5 of 12 Technical Manual Kubla Ports 2014 Rev. 00 Dec. 2013 5 DETERMINATION OF CHANNEL BOTTOM LEVELS OVERVIEW The required channel depths are based on the following simple assumption and the wave heights that the user has defined. Wave Height <0.5m 0.5-1.0m >1.0m Min. depth/draft ratio 1.1 1.3 1.5 A check is also made to set the depth in order to limit the vessel’s Froud number to 0.7 using the following equation. 𝑆𝑝𝑒𝑒𝑑 /9.81 0.7 Min. depth/draft ratio = √ Where the vessel’s speed has been converted into m/s Therefore the design vessel’s speed can also affect the channel depth in some cases. NON-TIDAL VESSELS In the case of non-tidal vessels (where ‘all states of tide’ is selected) the water level is taken from the minimum water level in the spring and neap time series, and the minimum bottom level is determined as follows: Min. bottom level = Min. water level - (Vessel draft x Min. depth/draft ratio) TIDAL VESSELS It is possible for the user to specify that a design vessel only needs to be able to transit the channel at high tides, or even only at high spring tides. If this is specified then the programme will consider variable water levels as the vessel transits the channel, based on the time-series for the neap tide in the case or ‘high tide only’ being specified, or the spring tide if ‘high spring tide only’ is selected. Kubla Ports will consider vessel transits start times every hour from the first tidal record to the last that will allow the vessel to complete its transit. For each transit time the water level will be determined at each point as the ship moves along the channel, based on the design vessel’s speed and the tidal time series. The minimum bottom level will be determined at each point based on these water levels using the following equation. ©Kubla Ltd. 2014 Page 6 of 12 Technical Manual Kubla Ports 2014 Rev. 00 Dec. 2013 Min. bottom level = Water level - (Vessel draft x Min. depth/draft ratio) Once channel bottom levels are determined for each transit, the ‘cost’ of each transit will be determined and the cheapest transit will be selected to set the bottom levels. The cost is assessed by summing the dredging depths at each point along the channel. Cost = ΣDredging depth Where Dredging depth = Max(0, Existing level - Min. bottom level) This is a fast and approximate way to compare prospective dredging volumes for each transit where the effect of channel width and side slopes is neglected. The transit with the minimum ‘cost’ is used to set the minimum bottom levels required along the channel for a given design vessel. FINAL BOTTOM LEVELS The bottom level for each channel element (straight section or bend) is determined based on the lowest of each of the points considered along that element. Minimum bottom levels determined in this way are rounded to the nearest 0.5m before the addition of any allowances for over-dredging that the user has specified. Bottom levels will not vary for a single channel element, but they may vary from one channel element to another. If the channel has a long straight section and a change in depth is required then this can be achieved by adding a ‘bend’ in the channel, but keeping it in line with the straight section. ©Kubla Ltd. 2014 Page 7 of 12 Technical Manual Kubla Ports 2014 Rev. 00 Dec. 2013 6 DETERMINATION OF CHANNEL WIDTHS OVERVIEW Channel widths are set based on the concept design method outlined in the PIANC Guidance and using the data which the user has input to define the site conditions and also in the properties of each channel element. The channel width for a given point along the channel is determined using the following expression for vessels where one-way traffic is specified: 𝑛 𝑤 = 𝑤𝐵𝑀 + ∑ 𝑤𝑖 + 2𝑤𝐵 𝑖=1 …and with the following expression where two-way traffic is specified. 𝑛 𝑤 = 2𝑤𝐵𝑀 + 2 ∑ 𝑤𝑖 + 2𝑤𝐵 + ∑ 𝑤𝑝 𝑖=1 Where 𝑤𝐵𝑀 = basic manoeuvring lane, taken from the user-specified manoeuvrability for the vessel at the depth in question, using the following table: Vessel Manoeuvrability 𝑤𝐵𝑀 good 1.3B moderate 1.5B poor 1.8B Where B is the beam of the design vessel 𝑤𝑖 = additional widths, taken from the table on the following page. 𝑤𝐵 = additional width for bank clearance, taken from the table below, with the userspecified bank type for the channel element in question, the vessel speed, and the specified wave height at the point on the channel. Vessel Speed Sloping channel edges and shoals Steep and hard embankments, structures Fast Moderate Slow Fast Moderate Slow Outer channel exposed to open water (WAVE HEIGHT > 1m) 0.7B 0.5B 0.3B 1.3B 1.0B 0.5B Inner channel protected water (WAVE HEIGHT < 1m) - (0.7B) 0.5B 0.3B - (1.3B) 1.0B 0.5B Where fast is > 12 knots, moderate is 8-12knots, and slow is < 8knots 𝑤𝑝 = additional width for passing distance Vessel speed (knots) Encounter traffic density ©Kubla Ltd. 2014 - Fast Moderate slow light moderate heavy Outer channel exposed to open water (WAVE HEIGHT > 1m) 2.0B 1.6B 1.2B 0.0 0.2B 0.5B Inner channel protected water (WAVE HEIGHT < 1m) - (1.8B) 1.4B 1.0B 0.0 0.2B 0.4B Page 8 of 12 Technical Manual Kubla Ports 2014 Rev. 00 Dec. 2013 In order to automate these calculations, some simplifications are made to the PIANC method by Kubla Ports. These simplifications are shown in red, with the black text being the PIANC Guidance. The most significant change is that the decision as to whether it is an inner or outer channel is based only on the wave height, where wave heights < 1m are considered inner channels and others are outer channels. Width, wi Vessel speed (knots) Prevailing cross wind (knots) Prevailing cross current (knots) Prevailing longitudinal current (knots) Significant wave height (Hs) and length (λ) Aids to navigation Depth of waterway Cargo hazard level Vessel Speed - Fast > 12 Moderate > 8 - 12 Slow 5 - 8 Mild ≤ 15 Moderate 15-33 - Severe 33-48 - Negligible < 0.2 Low 0.2-0.5 - Moderate 0.5-1.5 - Strong 1.5-2.0 - Low ≤ 1.5 Moderate 1.5-3 - Strong > 3 - Hs ≤ 1 and λ ≤ L (H < 1) 3 > Hs > 1 and λ = L (3 > H > 1) - Hs > 3 and λ > L (H > 3) - Excellent with shore traffic control Good Moderate with infrequent poor visibility Moderate with frequent poor visibility ≥ 1.5T 1.5T - 1.25T < 1.25T Low Medium High All Fast Mod Slow Fast Mod slow All Fast Mod Slow Fast Mod Slow Fast Mod Slow All Fast Mod Slow Fast Mod slow All Fast Mod Slow Fast Mod Slow Outer Channel exposed to open water (WAVE HEIGHT > 1m) 0.1B 0.0 0.0 0.0 0.3B 0.4B 0.5B 0.6B 0.8B 1.0B 0.0 0.1B 0.2B 0.3B 0.5B 0.7B 1.0B 0.7B 1.0B 1.3B 0.0 0.0 0.1B 0.2B 0.1B 0.2B 0.4B 0.0 ≈2.0B (2.0B) ≈1.0B (1.0B) ≈0.5B (0.5B) ≈3.0B (3.0B) ≈2.2B (2.2B) ≈1.5B (1.5B) 0.0 0.1B 0.2B ≥0.5B (0.5B) 0.0 0.1B 0.2B 0.0 ~0.5B (0.5B) ~1.0B (1.0B) Inner Channel Protected Water (WAVE HEIGHT < 1m) 0.1B 0.0 0.0 0.0 - (0.3B) 0.4B 0.5B - (0.6B) 0.8B 1.0B 0.0 - (0.0) 0.1B 0.2B - (0.3B) 0.5B 0.8B - (0.5B) - (0.8 B) - (1.1B) 0.0 - (0.0) 0.1B 0.2B - (0.1B) 0.2B 0.4B 0.0 (Outer Channel-2.0B) (Outer Channel-1.0B) (Outer Channel-0.5B) (Outer Channel-3.0B) (Outer Channel-2.2B) (Outer Channel-1.5B) 0.0 0.1B 0.2B ≥0.5B (0.5B) ≥1.5T 0.0 <1.5T-1.15T 0.2B <1.15T 0.4B 0.0 ~0.4B (0.4B) ~0.8B (0.8B) Where T = vessel draft and H = wave height ©Kubla Ltd. 2014 Page 9 of 12 Technical Manual Kubla Ports 2014 Rev. 00 Dec. 2013 DETERMINATION OF PARAMETERS In order to calculate the channel width with the methods described above the following parameters are determined for each point along the channel. 1. Cross wind. Taken from the wind climate that the user has defined. The two angles which are 90° to each side of the channel (i.e. crossing it) are determined, and the wind speed for these two directions are determined from the wind rose by linear interpolation. The cross wind is taken to be the largest of the two values. 2. Cross current. Taken from the tidal currents that the user has defined. The current speed and direction is determined at the time in question by linear interpolation through time between input tidal records. The cross current is determined from the component of the current vector which runs perpendicular to the channel element. 3. Longitudinal current. Taken from the tidal currents that the user has defined. The current speed and direction is determined at the time in question by linear interpolation through time between input tidal records. The longitudinal current is determined from the component of the current vector which runs parallel to the channel element. 4. Wave height. Wave height points input by the user are triangulated along with the coastline and the outline of the bathymetry. Coastline and outline points take the wave height of the closest wave height point which the user has input. The wave height at the point in question is determined from this triangulation using bilinear interpolation. 5. Depth of waterway. The depth of the waterway is determined based on the dredged channel level at the given point and the tidal water level at the given time. TIDAL VESSELS In the case of tidal vessels channel width are determined by checking vessel transits at hourly intervals across the period of tidal records. For every transit time which is viable in terms of the already-determined channel depths, the required width is determined at each point along the channel. The transit which requires the lowest average channel width is used to set the widths of the channel. If the vessel is to transit at high spring tides then the spring tide is checked only. However, if the vessel is to transit on any high tide then both spring and neap tides are checked and the one which necessitates the wider channel is used. ©Kubla Ltd. 2014 Page 10 of 12 Technical Manual Kubla Ports 2014 Rev. 00 Dec. 2013 WIDTHS IN BENDS In bends the method outlined for straight sections will be followed for each point in the bend, but the following additional check will be applied. Figure 5.9 of the PIANC Guidance gives a relationship between the Rudder Angle and the swept width in a bend for a number of depth draft ratios, as summarised below. This figure is used to check the width of the channel in the bend is wide enough. w/B is read from this figure for the 2 depth/draft ratios on either side of the depth/draft ratio of the point in question, and the final value is obtained by linear interpolation between the two. Depth/draft ratio 1.8 1.5 y = -0.0002x2 + 0.031x + 1 1.3 y = -0.0001x2 + 0.0231x + 1.0005 y = -8E-05x2 + 0.0173x + 0.9985 1.4 1.2 1.15 1.3 1.1 y = -5E-05x2 + 0.0115x + 1 1.7 1.6 w/B 1.5 y = -5E-05x2 + 0.0141x + 1.001 1.2 1.1 1 0.9 0.8 0 10 20 30 40 Rudder Angle (°) FINAL CHANNEL WIDTHS The width of each channel element (straight section or bend) is determined based on the widest of each of the points considered along that element. Channel widths determined in this way are rounded to the nearest 1.0m. Widths will not vary for a single channel element, but they may vary from one channel element to another. If the channel has a long straight section and a change in width is required then this can be achieved by adding a ‘bend’ in the channel, but keeping it in line with the straight section. If a bend’s width is being automatically calculated, it will be fixed so that it is not less than the widest of the straight sections on either side of it. ©Kubla Ltd. 2014 Page 11 of 12 Technical Manual Kubla Ports 2014 Rev. 00 Dec. 2013 7 DETERMINATION OF DREDGING QUANTITIES Whether channel dimensions are input manually or automatically, dredging quantities will be automatically calculated and displayed. This calculation is based upon a Delaunay triangulation of the bathymetry points which the user has input, and the channel design which has been produced. Side slopes are taken into account when determining these volumes, based on the slope angles which the user has specified for each channel element. ©Kubla Ltd. 2014 Page 12 of 12
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