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In this notebook, we will focus on the large-scale variation in tides. \n", + "The two main variables on the basis of which tidal environments can be classified are:\n", + "- **Magnitude of the tide**, characterised by the tidal range;\n", + "- **Tidal character**, determined by the importance of diurnal vs. semi-diurnal components\n", + "\n", + "In this notebook, we will explore both classifications using python code. Therefore, please import the libraries that we need for the analysis from the cell below.\n" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "9b2ce2ff-523a-4801-9dce-e70af8c20a05", + "metadata": {}, + "outputs": [], + "source": [ + "import pathlib\n", + "from pathlib import Path\n", + "import sys\n", + "from warnings import filterwarnings\n", + "import ipywidgets as widgets\n", + "from ipywidgets import interact\n", + "from matplotlib.patches import Patch\n", + "import matplotlib.pyplot as plt\n", + "import numpy as np\n", + "import pandas as pd\n", + "import cartopy.crs as ccrs\n", + "import xarray as xr\n", + "from datetime import datetime, timedelta\n", + "from IPython.display import display, Image\n", + "import math\n", + "import pandas as pd\n", + "import pooch\n", + "import pickle\n", + "\n", + "F_data_fp = pooch.retrieve(\n", + " \"https://coclico.blob.core.windows.net/coastal-dynamics/02-tide/02_F_data.pkl\",\n", + " known_hash=\"eae7be0e7b44ed5b211e931bd6e5948e0aa8db067403956fe2d486f69e49c769\",\n", + ")\n", + "F_data = pd.read_pickle(F_data_fp)\n", + "\n", + "cwd = pathlib.Path().resolve()\n", + "proj_dir = cwd.parent.parent.parent # this is the root of the CoastalCodeBook\n", + "sys.path.append(str(proj_dir))\n", + "\n", + "from initialize.Tide_Initialize import questions_3a1, questions_3a2, plot_4timeseries_with_interactive_controls\n", + "\n" + ] + }, + { + "attachments": {}, + "cell_type": "markdown", + "id": "30da269b-6d4f-4bcc-87ac-9ae5ed3050d2", + "metadata": {}, + "source": [ + "

\n", + "## 1. Tidal Environments\n", + "\n", + "The tidal wave is distorted by local differences in water depth and by the location and shape of land masses and large embayments. This results in a global variation in tidal range controlled by the large-scale coastal configuration. The tidal character expressed through mean spring tidal range:\n", + "\n", + "\n", + "|Category| Mean spring tidal range |\n", + "|----------------|:--:|\n", + "| Micro-tidal | < 2m | \n", + "| Meso-tidal | 2m - 4m | \n", + "| Macro-tidal | > 4m | \n", + "\n", + "
The tidal character, on the other hand, is defined by the form factor F:

*F = (K1 + O1)/(M2 + S2)*,
\n", + "where *K1*, *O1*, *M2*, and *S2* are the amplitudes of the corresponding tidal constituents.

\n", + "\n", + "|Category| Value of F |\n", + "|----------------|:--:|\n", + "| Semi-diurnal | 0 - 0.25 | \n", + "| Mixed, mainly semi-diurnal | 0.25 - 1.5 | \n", + "| Mixed, mainly diurnal | 1.5 - 3 | \n", + "| Diurnal | > 3 | \n", + "\n", + "
In the figure below, you can see the world distribution of mean spring tidal range (*left*) and tidal characters (*right*). The attribution of the tidal types follows J.L. Davies and Clayton (1980) (Figures 4.10 and 4.12 from the textbook).\n", + "- Look into the semi-enclosed seas vs. open coasts; do you notice anything? Why?\n", + "- Compare the two: do you notice any repetitive patterns? Hint: Look at the tidal range for specific tidal characters.\n", + "\n", + "![image](../notebooks/figures/02_tidal_env.png)\n", + "\n" + ] + }, + { + "cell_type": "markdown", + "id": "aabecdb1-75a9-438d-88a1-e268af67134b", + "metadata": {}, + "source": [ + "


\n", + "## 2. Tidal Character at Specific Locations\n", + "\n", + "Let's now categorize the tide at four specific locations. We will once again use the [FES2014 Global Tide data](https://www.aviso.altimetry.fr/en/data/products/auxiliary-products/global-tide-fes/description-fes2014.html), which provides amplitude and phase information for 34 tidal constituents, distributed on 1/16Ëš grids.\n", + "\n", + "For each location, the amplitudes of the constituents that are needed to compute the form factor are shown in the table below. \n", + "\n", + "|Tidal amplitudes [cm]| M2 | S2 | K1 | O1 |\n", + "|----------------|:--:|:--:|:--:|----|\n", + "| Scheveningen (Netherlands) | 75.78 | 17.74 | 8.39 | 11.85 | \n", + "| Galveston (US Gulf of Mexico) | 13.08| 3.97 | 16.17 | 15.89 | \n", + "| Jakarta (Indonesia)| 4.58 | 5.18 | 25.75 | 13.46 |\n", + "| Valparaiso (Chile) | 42.91 | 14.40 | 15.29 | 10.22 | \n", + "\n", + "\n", + "
In cell below, write your own code to calculate the form factor *F* at each location." + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "2bfc5f12-c0bb-4d61-beb9-3828c28e61d9", + "metadata": {}, + "outputs": [], + "source": [ + "# Write your code here.\n", + "\n" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "ecc81791-aa21-4c9b-9be0-1d8c1dea6070", + "metadata": {}, + "outputs": [], + "source": [ + "# Run to get questions\n", + "\n", + "print(\"\\n What is the category of:\")\n", + "questions_3a1()" + ] + }, + { + "cell_type": "markdown", + "id": "bd1da051-26d3-4bbc-8cfa-c7859bb48e81", + "metadata": {}, + "source": [ + "

\n", + "\n", + "Let's now plot the tidal characters across the globe obtained from the FES2014 dataset and mark the four locations from above. Do your answers match the locations on the map?" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "3c25ed39-a85d-4ce3-aea9-6425dd90a698", + "metadata": {}, + "outputs": [], + "source": [ + "## FES2014 Tidal Characters\n", + "# the code is a bit slow, it is doing a global contour!\n", + "\n", + "# Define the categories and corresponding colors\n", + "categories = {\n", + " 'Diurnal': {'min': 3, 'max': float('inf'), 'color': '#ad4123'},\n", + " 'Mixed, mainly diurnal': {'min': 1.5, 'max': 2.9, 'color': '#e7541e'},\n", + " 'Mixed, mainly semidiurnal': {'min': 0.25, 'max': 1.49, 'color': '#f4a030'},\n", + " 'Semidiurnal': {'min': 0, 'max': 0.249, 'color': '#f8ce97'}\n", + "}\n", + "\n", + "# Create a figure and axis\n", + "fig, ax = plt.subplots(figsize=(15, 13), subplot_kw={'projection': ccrs.Robinson(central_longitude=0.0)})\n", + "ax.set_global()\n", + "\n", + "# Plot the scatter points with specific colors for each category\n", + "legend_patches = []\n", + "for category, values in categories.items():\n", + " subset_data = F_data[(F_data['F'] >= values['min']) & (F_data['F'] <= values['max'])]\n", + " if not subset_data.empty:\n", + " scatter = ax.scatter(subset_data.index.get_level_values('lon').values, \n", + " subset_data.index.get_level_values('lat').values, s=1, color=values['color'], \n", + " label=category, transform=ccrs.PlateCarree())\n", + " legend_patches.append(Patch(color=scatter.get_facecolor()[0], label=category))\n", + "\n", + "# Add markers for specific locations - here you can edit the code if you are wondering for a specific location\n", + "locs = {\n", + " 'Scheveningen': [4.25, 52.125], # lon, lat\n", + " 'Galveston': [-94.6875, 29.25],\n", + " 'Valparaiso': [-71.625, -33],\n", + " 'Jakarta': [106.8125, -6.0625],\n", + "}\n", + "\n", + "for loc, coordinates in locs.items():\n", + " lon, lat = coordinates\n", + " ax.scatter(lon, lat, color='black', s=10, transform=ccrs.PlateCarree(), zorder=4)\n", + " ax.text(lon - 25, lat+3, loc, color='black', fontsize=12, fontweight='bold', transform=ccrs.PlateCarree())\n", + "\n", + "ax.legend(handles=legend_patches, loc='lower center', bbox_to_anchor=(0.5, -0.2), ncol=2, fontsize=12)\n", + "ax.coastlines(resolution='110m', color='black', linewidth=0.5)\n", + "\n", + "plt.show()\n" + ] + }, + { + "cell_type": "markdown", + "id": "8e294d16-733c-4ece-a443-b2554d706cc7", + "metadata": {}, + "source": [ + "
\n", + "Compare this figure to the tidal characters illustration mentioned earlier (Figure 4.12 in the textbook). What could be the reasons behind the observed differences?" + ] + }, + { + "cell_type": "markdown", + "id": "86b2c7d2-275c-492b-97df-ec6b62639a79", + "metadata": {}, + "source": [ + "


\n", + "## 3. Variation of Tidal Constituents\n", + "\n", + "\n", + "Now that we've identified the tidal characteristics of each location, we can visualize their tidal constituents and address various questions.\n", + "\n", + "Execute the block below to generate an interactive figure. The figure displays the individual tidal components (upper plot) and their combined tidal signal (second plot) for four locations, each characterized by distinct tidal behaviours.\n", + "\n", + "You can adjust the plotted time range using the slider (from 1 day to 1 year) and select which tidal constituents to display with tick boxes. This allows you to experiment with different constituents, observe the resulting signals, and compare the locations.\n" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "092a4ba2-d56a-4f6b-bf85-f24bd933be04", + "metadata": {}, + "outputs": [], + "source": [ + "# Choose tidal constituents\n", + "comps = ['M2', 'S2', 'N2', 'K2', #semi-diurnal\n", + " 'K1', 'O1', 'P1', 'Q1', #diurnal\n", + " 'MM', 'MF', 'SSA', #long period\n", + " 'M4', 'M6', 'S4', 'MN4'] #short period (overtides)\n", + "\n", + "# We choose one year to plot, 2000-2001 same as in the previous Notebook\n", + "dates = np.array([\n", + " datetime(2000, 1, 1, 0, 0, 0) + timedelta(seconds=item * 3600)\n", + " for item in range(24*365) #1 year\n", + "])\n", + "\n", + "# download and load tidal signals\n", + "scheveningen_fp = pooch.retrieve(\n", + " \"https://coclico.blob.core.windows.net/coastal-dynamics/2_wind_waves_tides/tide_scheveningen.p\",\n", + " known_hash=\"4ebac210fc0893e52655cbc3c9501a6c805e3537f327fed7edb9e7dbfe7fa06a\",\n", + ")\n", + "galveston_fp = pooch.retrieve(\n", + " \"https://coclico.blob.core.windows.net/coastal-dynamics/2_wind_waves_tides/tide_galveston.p\",\n", + " known_hash=\"26af20b240804a18a939d477632b4507d44ebdc98510deb07e601732c0846224\",\n", + ")\n", + "jakarta_fp = pooch.retrieve(\n", + " \"https://coclico.blob.core.windows.net/coastal-dynamics/2_wind_waves_tides/tide_jakarta.p\",\n", + " known_hash=\"7950246c47e757d9dd427063d7c809fda4267ed119efd18de43237aa9f98c9c6\",\n", + ")\n", + "valparaiso_fp = pooch.retrieve(\n", + " \"https://coclico.blob.core.windows.net/coastal-dynamics/2_wind_waves_tides/tide_valparaiso.p\",\n", + " known_hash=\"a19a51e3607822bc72ab902f83990d2b318a08d1982c25461f8ffd6e5caae35f\",\n", + ")\n", + "with open(scheveningen_fp, 'rb') as pickle_file:\n", + " scheveningen = pickle.load(pickle_file)\n", + "with open(galveston_fp, 'rb') as pickle_file:\n", + " galveston = pickle.load(pickle_file)\n", + "with open(jakarta_fp, 'rb') as pickle_file:\n", + " jakarta = pickle.load(pickle_file)\n", + "with open(valparaiso_fp, 'rb') as pickle_file:\n", + " valparaiso = pickle.load(pickle_file)\n", + "\n", + "tide = {\n", + " 'Scheveningen': scheveningen,\n", + " 'Valparaiso': valparaiso,\n", + " 'Jakarta': jakarta,\n", + " 'Galveston': galveston,\n", + " }\n", + "\n", + "plot_4timeseries_with_interactive_controls(comps, dates, tide)\n", + "# We start with the main constituents preselected" + ] + }, + { + "cell_type": "markdown", + "id": "0edb1bfe-ddd5-43e4-b20f-b0e448984cc7", + "metadata": {}, + "source": [ + "
\n", + "\n", + "Set the time range to around 30 days and \\\n", + " a) select only the main semi-diurnal components \\\n", + " b) select only the main diurnal components \\\n", + " c) select only one semi-diurnal (M2) and one diurnal (K1) component \\\n", + " *What kind of signal do you see for each location? Why are there differences between locations? Don't forget to look at the y-axis range.*\n", + "\n", + "We also know that there are much longer variations than the ones above. Set the time range to the whole year and \\\n", + " a) select only S2 and K2 \\\n", + " b) select only K1 and P1 \\\n", + " *What kind of combined signal can you see now?*\n", + "\n", + "Finally activate all components, including some short period constituents that we will further explore next week. Analyse the combined signals. What are the dominant components at each location?" + ] + }, + { + "cell_type": "markdown", + "id": "9d1e8d06-dd02-414f-b940-a6e16c2b39f5", + "metadata": {}, + "source": [ + "

\n", + "# 4. Tidal Beating\n", + "Using the knowledge gained from Chapter 3 of the textbook and the interactive figure above, try to answer the questions below. You can use the next cell as a calculator. Give your numeric answer with at least three significant figures.\n", + "\n", + "|Tidal constituents | Name | Equil.
Amplitude [m] | Period [h] |\n", + "|-|-|-|-|\n", + "| **Semi-diurnal** |\n", + "| Principal lunar | M2 | 0.24 | 12.4206012 |\n", + "| Principal solar | S2 | 0.11 | 12 |\n", + "| Lunar elliptical | N2 | 0.046 | 12.65834751 |\n", + "| Lunar-solar declinational | K2 | 0.031 | 11.96723606 |\n", + "| **Diurnal** |\n", + "| Lunar-solar declinational | K1 | 0.14 | 23.93447213 |\n", + "| Principal lunar | O1 | 0.10 | 25.81933871 | \n", + "| Principal solar | P1 | 0.047 | 24.06588766 | \n", + "| Lunar elliptical | Q1 | 0.019 | 26.868350 |\n", + "| **Long period** |\n", + "| Fortnightly | Mf | 0.042 | 327.8599387 |\n", + "| Monthly | Mm | 0.022 | 661.3111655 | \n", + "| Semi-annual | Ssa | 0.019 | 4383.076325 | " + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "d5f37d5d-396b-4f23-8588-df2673b94b54", + "metadata": {}, + "outputs": [], + "source": [ + "# Write your code here to get answers to questions 1 and 2. Use the values from the table above \n", + "# and use at least 3 significant figures.\n", + "\n", + "\n" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "0d026cfe-833b-459b-960a-12a74535111a", + "metadata": {}, + "outputs": [], + "source": [ + "# Run to get questions. \n", + "# The following answers are interchangeable, so do not put the same answer twice - this will result in a false correct answer.\n", + "# TC1, TC2\n", + "# TC3, TC4\n", + "# Month1, Month2\n", + "# TC5, TC6\n", + "# Month3, Month4\n", + "# TC7, TC8\n", + "\n", + "questions_3a2()" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "964b2f25-496f-474b-8261-89ef1c35cdbc", + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "7be80944-3487-4a90-88bb-ca7dc531051e", + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "65966d17-99cf-49a2-9cf7-c2042eb6ceb1", + "metadata": {}, + "outputs": [], + "source": [] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python [conda env:coastal]", + "language": "python", + "name": "conda-env-coastal-py" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.11.7" + } + }, + "nbformat": 4, + "nbformat_minor": 5 +} diff --git a/notebooks/1_coastal_classification.html b/notebooks/1_coastal_classification.html index 37de0ff..c6b34c3 100644 --- a/notebooks/1_coastal_classification.html +++ b/notebooks/1_coastal_classification.html @@ -1743,7 +1743,7 @@

Now plot the earthquake data -
Launching server at http://localhost:35159
+
Launching server at http://localhost:38193
 
@@ -1765,12 +1765,12 @@

Plate tectonics -
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+

Tidal Environments#

+

In chapter 4 of the textbook, we looked into the global variation in the main processes that shape the coast: wind, waves, and tides. In this notebook, we will focus on the large-scale variation in tides. +The two main variables on the basis of which tidal environments can be classified are:

+
    +
  • Magnitude of the tide, characterised by the tidal range;

  • +
  • Tidal character, determined by the importance of diurnal vs. semi-diurnal components

  • +
+

In this notebook, we will explore both classifications using python code. Therefore, please import the libraries that we need for the analysis from the cell below.

+
+
+
import pathlib
+from pathlib import Path
+import sys
+from warnings import filterwarnings
+import ipywidgets as widgets
+from ipywidgets import interact
+from matplotlib.patches import Patch
+import matplotlib.pyplot as plt
+import numpy as np
+import pandas as pd
+import cartopy.crs as ccrs
+import xarray as xr
+from datetime import datetime, timedelta
+from IPython.display import display, Image
+import math
+import pandas as pd
+import pooch
+import pickle
+
+F_data_fp = pooch.retrieve(
+    "https://coclico.blob.core.windows.net/coastal-dynamics/02-tide/02_F_data.pkl",
+    known_hash="eae7be0e7b44ed5b211e931bd6e5948e0aa8db067403956fe2d486f69e49c769",
+)
+F_data = pd.read_pickle(F_data_fp)
+
+cwd = pathlib.Path().resolve()
+proj_dir = cwd.parent.parent.parent  # this is the root of the CoastalCodeBook
+sys.path.append(str(proj_dir))
+
+from initialize.Tide_Initialize import questions_3a1, questions_3a2, plot_4timeseries_with_interactive_controls
+
+
+
+
+
Downloading data from 'https://coclico.blob.core.windows.net/coastal-dynamics/02-tide/02_F_data.pkl' to file '/home/runner/.cache/pooch/918dec1d06d7bc0691082dd30d324d60-02_F_data.pkl'.
+
+
+
+
+



+
+

1. Tidal Environments#

+

The tidal wave is distorted by local differences in water depth and by the location and shape of land masses and large embayments. This results in a global variation in tidal range controlled by the large-scale coastal configuration. The tidal character expressed through mean spring tidal range:

+ + + + + + + + + + + + + + + + + +

Category

Mean spring tidal range

Micro-tidal

< 2m

Meso-tidal

2m - 4m

Macro-tidal

> 4m

+


The tidal character, on the other hand, is defined by the form factor F:

F = (K1 + O1)/(M2 + S2),
+where K1, O1, M2, and S2 are the amplitudes of the corresponding tidal constituents.

+ + + + + + + + + + + + + + + + + + + + +

Category

Value of F

Semi-diurnal

0 - 0.25

Mixed, mainly semi-diurnal

0.25 - 1.5

Mixed, mainly diurnal

1.5 - 3

Diurnal

> 3

+


In the figure below, you can see the world distribution of mean spring tidal range (left) and tidal characters (right). The attribution of the tidal types follows J.L. Davies and Clayton (1980) (Figures 4.10 and 4.12 from the textbook).

+
    +
  • Look into the semi-enclosed seas vs. open coasts; do you notice anything? Why?

  • +
  • Compare the two: do you notice any repetitive patterns? Hint: Look at the tidal range for specific tidal characters.

  • +
+

image

+




+
+
+

2. Tidal Character at Specific Locations#

+

Let’s now categorize the tide at four specific locations. We will once again use the FES2014 Global Tide data, which provides amplitude and phase information for 34 tidal constituents, distributed on 1/16˚ grids.

+

For each location, the amplitudes of the constituents that are needed to compute the form factor are shown in the table below.

+ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +

Tidal amplitudes [cm]

M2

S2

K1

O1

Scheveningen (Netherlands)

75.78

17.74

8.39

11.85

Galveston (US Gulf of Mexico)

13.08

3.97

16.17

15.89

Jakarta (Indonesia)

4.58

5.18

25.75

13.46

Valparaiso (Chile)

42.91

14.40

15.29

10.22

+


In cell below, write your own code to calculate the form factor F at each location.

+
+
+
# Write your code here.
+
+
+
+
+
+
+
# Run to get questions
+
+print("\n What is the category of:")
+questions_3a1()
+
+
+
+
+
 What is the category of:
+
+
+
+
+



+

Let’s now plot the tidal characters across the globe obtained from the FES2014 dataset and mark the four locations from above. Do your answers match the locations on the map?

+
+
+
## FES2014 Tidal Characters
+# the code is a bit slow, it is doing a global contour!
+
+# Define the categories and corresponding colors
+categories = {
+    'Diurnal': {'min': 3, 'max': float('inf'), 'color': '#ad4123'},
+    'Mixed, mainly diurnal': {'min': 1.5, 'max': 2.9, 'color': '#e7541e'},
+    'Mixed, mainly semidiurnal': {'min': 0.25, 'max': 1.49, 'color': '#f4a030'},
+    'Semidiurnal': {'min': 0, 'max': 0.249, 'color': '#f8ce97'}
+}
+
+# Create a figure and axis
+fig, ax = plt.subplots(figsize=(15, 13), subplot_kw={'projection': ccrs.Robinson(central_longitude=0.0)})
+ax.set_global()
+
+# Plot the scatter points with specific colors for each category
+legend_patches = []
+for category, values in categories.items():
+    subset_data = F_data[(F_data['F'] >= values['min']) & (F_data['F'] <= values['max'])]
+    if not subset_data.empty:
+        scatter = ax.scatter(subset_data.index.get_level_values('lon').values, 
+                             subset_data.index.get_level_values('lat').values, s=1, color=values['color'], 
+                             label=category, transform=ccrs.PlateCarree())
+        legend_patches.append(Patch(color=scatter.get_facecolor()[0], label=category))
+
+# Add markers for specific locations - here you can edit the code if you are wondering for a specific location
+locs = {
+    'Scheveningen': [4.25, 52.125],  # lon, lat
+    'Galveston': [-94.6875, 29.25],
+    'Valparaiso': [-71.625, -33],
+    'Jakarta': [106.8125, -6.0625],
+}
+
+for loc, coordinates in locs.items():
+    lon, lat = coordinates
+    ax.scatter(lon, lat, color='black', s=10, transform=ccrs.PlateCarree(), zorder=4)
+    ax.text(lon - 25, lat+3, loc, color='black', fontsize=12, fontweight='bold', transform=ccrs.PlateCarree())
+
+ax.legend(handles=legend_patches, loc='lower center', bbox_to_anchor=(0.5, -0.2), ncol=2, fontsize=12)
+ax.coastlines(resolution='110m', color='black', linewidth=0.5)
+
+plt.show()
+
+
+
+
+
/home/runner/micromamba/envs/coastal/lib/python3.11/site-packages/cartopy/io/__init__.py:241: DownloadWarning: Downloading: https://naturalearth.s3.amazonaws.com/110m_physical/ne_110m_coastline.zip
+  warnings.warn(f'Downloading: {url}', DownloadWarning)
+
+
+../_images/ec3cd879fb578e890d9b5246668e8328850fc6fa1e8d1215cef8adb01977167f.png +
+
+
+Compare this figure to the tidal characters illustration mentioned earlier (Figure 4.12 in the textbook). What could be the reasons behind the observed differences?




+
+
+

3. Variation of Tidal Constituents#

+

Now that we’ve identified the tidal characteristics of each location, we can visualize their tidal constituents and address various questions.

+

Execute the block below to generate an interactive figure. The figure displays the individual tidal components (upper plot) and their combined tidal signal (second plot) for four locations, each characterized by distinct tidal behaviours.

+

You can adjust the plotted time range using the slider (from 1 day to 1 year) and select which tidal constituents to display with tick boxes. This allows you to experiment with different constituents, observe the resulting signals, and compare the locations.

+
+
+
# Choose tidal constituents
+comps = ['M2', 'S2', 'N2', 'K2',  #semi-diurnal
+         'K1', 'O1', 'P1', 'Q1',  #diurnal
+         'MM', 'MF', 'SSA',       #long period
+         'M4', 'M6', 'S4', 'MN4'] #short period (overtides)
+
+# We choose one year to plot, 2000-2001 same as in the previous Notebook
+dates = np.array([
+    datetime(2000, 1, 1, 0, 0, 0) + timedelta(seconds=item * 3600)
+    for item in range(24*365) #1 year
+])
+
+# download and load tidal signals
+scheveningen_fp = pooch.retrieve(
+    "https://coclico.blob.core.windows.net/coastal-dynamics/2_wind_waves_tides/tide_scheveningen.p",
+    known_hash="4ebac210fc0893e52655cbc3c9501a6c805e3537f327fed7edb9e7dbfe7fa06a",
+)
+galveston_fp = pooch.retrieve(
+    "https://coclico.blob.core.windows.net/coastal-dynamics/2_wind_waves_tides/tide_galveston.p",
+    known_hash="26af20b240804a18a939d477632b4507d44ebdc98510deb07e601732c0846224",
+)
+jakarta_fp = pooch.retrieve(
+    "https://coclico.blob.core.windows.net/coastal-dynamics/2_wind_waves_tides/tide_jakarta.p",
+    known_hash="7950246c47e757d9dd427063d7c809fda4267ed119efd18de43237aa9f98c9c6",
+)
+valparaiso_fp = pooch.retrieve(
+    "https://coclico.blob.core.windows.net/coastal-dynamics/2_wind_waves_tides/tide_valparaiso.p",
+    known_hash="a19a51e3607822bc72ab902f83990d2b318a08d1982c25461f8ffd6e5caae35f",
+)
+with open(scheveningen_fp, 'rb') as pickle_file:
+    scheveningen = pickle.load(pickle_file)
+with open(galveston_fp, 'rb') as pickle_file:
+    galveston = pickle.load(pickle_file)
+with open(jakarta_fp, 'rb') as pickle_file:
+    jakarta = pickle.load(pickle_file)
+with open(valparaiso_fp, 'rb') as pickle_file:
+    valparaiso = pickle.load(pickle_file)
+
+tide = {
+    'Scheveningen': scheveningen,
+    'Valparaiso': valparaiso,
+    'Jakarta': jakarta,
+    'Galveston': galveston,
+    }
+
+plot_4timeseries_with_interactive_controls(comps, dates, tide)
+# We start with the main constituents preselected
+
+
+
+
+
Downloading data from 'https://coclico.blob.core.windows.net/coastal-dynamics/2_wind_waves_tides/tide_scheveningen.p' to file '/home/runner/.cache/pooch/8b8a6001da356b17145494f50655b9b7-tide_scheveningen.p'.
+
+
+
Downloading data from 'https://coclico.blob.core.windows.net/coastal-dynamics/2_wind_waves_tides/tide_galveston.p' to file '/home/runner/.cache/pooch/6416667b65e990929e59772433e8f314-tide_galveston.p'.
+
+
+
Downloading data from 'https://coclico.blob.core.windows.net/coastal-dynamics/2_wind_waves_tides/tide_jakarta.p' to file '/home/runner/.cache/pooch/55213b0e5d355ac5908a79c2debefd22-tide_jakarta.p'.
+
+
+
Downloading data from 'https://coclico.blob.core.windows.net/coastal-dynamics/2_wind_waves_tides/tide_valparaiso.p' to file '/home/runner/.cache/pooch/61d712935b118bac0aca0c119882a2b6-tide_valparaiso.p'.
+
+
+
+
+
+

Set the time range to around 30 days and
+ a) select only the main semi-diurnal components
+ b) select only the main diurnal components
+ c) select only one semi-diurnal (M2) and one diurnal (K1) component
+ What kind of signal do you see for each location? Why are there differences between locations? Don’t forget to look at the y-axis range.

+

We also know that there are much longer variations than the ones above. Set the time range to the whole year and
+ a) select only S2 and K2
+ b) select only K1 and P1
+ What kind of combined signal can you see now?

+

Finally activate all components, including some short period constituents that we will further explore next week. Analyse the combined signals. What are the dominant components at each location?

+



+
+
+
+

4. Tidal Beating#

+

Using the knowledge gained from Chapter 3 of the textbook and the interactive figure above, try to answer the questions below. You can use the next cell as a calculator. Give your numeric answer with at least three significant figures.

+ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +

Tidal constituents

Name

Equil.
Amplitude [m]

Period [h]

Semi-diurnal

Principal lunar

M2

0.24

12.4206012

Principal solar

S2

0.11

12

Lunar elliptical

N2

0.046

12.65834751

Lunar-solar declinational

K2

0.031

11.96723606

Diurnal

Lunar-solar declinational

K1

0.14

23.93447213

Principal lunar

O1

0.10

25.81933871

Principal solar

P1

0.047

24.06588766

Lunar elliptical

Q1

0.019

26.868350

Long period

Fortnightly

Mf

0.042

327.8599387

Monthly

Mm

0.022

661.3111655

Semi-annual

Ssa

0.019

4383.076325

+
+
+
# Write your code here to get answers to questions 1 and 2. Use the values from the table above 
+# and use at least 3 significant figures.
+
+
+
+
+
+
+
# Run to get questions. 
+# The following answers are interchangeable, so do not put the same answer twice - this will result in a false correct answer.
+# TC1, TC2
+# TC3, TC4
+# Month1, Month2
+# TC5, TC6
+# Month3, Month4
+# TC7, TC8
+
+questions_3a2()
+
+
+
+
+
1. In a semi-diurnal environment, spring tide occurs for tidal constituents TC1 and TC2 every D1 days. Set the time range to around 30 days, which phenomenon can you detect when looking at the combined signal of these two constituents?
+
+
+
2. In a diurnal environment, spring tide occurs for tidal constituents TC3 and TC4 every D2 days. What is the main difference to the signal from question 1?
+
+
+
3. Strongest semi-diurnal tides are in the months Month1 and Month2, as can be seen from adding constituents TC5 and TC6.
+
+
+
4. Strongest diurnal tides are in the months Month3 and Month4, as can be seen from adding constituents TC7 and TC8.
+
+
+
+
+
+ + + + +
+ + + + + + +
+ +
+
+
+ +
+ + + + + + +
+
+ + +
+ + +
+
+
+ + + + + +
+
+ + \ No newline at end of file diff --git a/notebooks/initialize/2a_pre_knowledge_waves.html b/notebooks/initialize/2a_pre_knowledge_waves.html index a3e0a71..dc0c486 100644 --- a/notebooks/initialize/2a_pre_knowledge_waves.html +++ b/notebooks/initialize/2a_pre_knowledge_waves.html @@ -1005,12 +1005,12 @@

Start#< .cell-output-ipywidget-background:has(> .lm-Widget > *[data-root-id]) { background-color: transparent !important; } -

-
+
+