{
"cells": [
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"source": [
"# 河床変動の応用-平面的な河床変動"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"source": [
"ここまでは縦断的な河床変動を取り扱ってきたが実河川では平面的な河床変動も生じている。"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"source": [
"## 砂州\n"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"source": [
" - 単列砂州(交互砂州)"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {
"hide_input": true,
"slideshow": {
"slide_type": "fragment"
}
},
"outputs": [
{
"data": {
"text/html": [
"\n",
" \n",
" "
],
"text/plain": [
""
]
},
"execution_count": 1,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"from IPython.display import IFrame\n",
"IFrame(\"https://maps.gsi.go.jp/?hc=hic#15/33.938447/134.621229/&base=ort&ls=ort%7Cgazo4&blend=0&disp=11&vs=c1j0h0k0l0u0t0z0r0s0m0f0\" ,width=800,height=400)"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"source": [
" - 複列砂州\n",
"\n",
"画像を右クリックで再生を選択\n",
""
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"source": [
" - 多列砂州"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {
"hide_input": true,
"slideshow": {
"slide_type": "fragment"
}
},
"outputs": [
{
"data": {
"text/html": [
"\n",
" \n",
" "
],
"text/plain": [
""
]
},
"execution_count": 2,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"from IPython.display import IFrame\n",
"IFrame(\"https://maps.gsi.go.jp/?hc=hic#16/35.414428/132.809687/&base=ort&ls=ort%7Cgazo4&blend=0&disp=11&vs=c1j0h0k0l0u0t0z0r0s0m0f0\" ,width=500,height=400)"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {
"hide_input": true,
"slideshow": {
"slide_type": "slide"
}
},
"outputs": [
{
"data": {
"text/html": [
"\n",
" \n",
" "
],
"text/plain": [
""
]
},
"execution_count": 3,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"from IPython.display import IFrame\n",
"IFrame(\"https://www.google.com/maps/embed?pb=!4v1589436014790!6m8!1m7!1svjLVOaONp8rfG7vPXg-Jsg!2m2!1d35.41611159377166!2d132.8138269050567!3f57.704570097648585!4f-6.681007775900639!5f0.7820865974627469\" ,width=800,height=500)"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"source": [
" - 砂州の形状は川幅と水深の比によって決定する。 \n",
"\n",
"
\n",
"
\n",
"「21世紀の河川学」より引用"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"source": [
" - 砂州は出水ごとに移動するが列数は変わらない。これも動的平衡状態。\n",
" - 砂州はある程度人為的にデザインできる。\n",
" * 川を単なる水路と考えると川幅は最低限で良い。(例えば、都市河川)\n",
" * 最近は可能な限り川幅を広くとり、自由な変動を許容するような河道設計が望まれている。"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"source": [
"## 蛇行\n",
"\n",
" - 砂州を長期的にみると蛇行になる。"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {
"hide_input": true,
"slideshow": {
"slide_type": "slide"
}
},
"outputs": [
{
"data": {
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\n",
"text/html": [
"\n",
" \n",
" "
],
"text/plain": [
""
]
},
"execution_count": 4,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"from IPython.display import YouTubeVideo\n",
"YouTubeVideo('qYKj0yZASMo', width=400)"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {
"hide_input": true,
"slideshow": {
"slide_type": "slide"
}
},
"outputs": [
{
"data": {
"image/jpeg": 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\n",
"text/html": [
"\n",
" \n",
" "
],
"text/plain": [
""
]
},
"execution_count": 5,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"from IPython.display import YouTubeVideo\n",
"YouTubeVideo('gYg1MSOK1Ck', width=400)"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "fragment"
}
},
"source": [
" - 川はまっすぐ流れることができない。"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"source": [
" - 多くの日本の川はなぜ蛇行しないのか?→堤防、護岸があるから。堤防、護岸は川の変動を制限する役割を持っている。\n",
" - 設計外力を超える出水の場合、氾濫が起こったりする。川側からみると自由に流れているだけ。"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"source": [
" - 令和元年東日本台風の被災事例:旧河道部分で氾濫が発生"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {
"hide_input": true,
"slideshow": {
"slide_type": "fragment"
}
},
"outputs": [
{
"data": {
"text/html": [
"\n",
" \n",
" "
],
"text/plain": [
""
]
},
"execution_count": 6,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"from IPython.display import IFrame\n",
"IFrame(\"https://maps.gsi.go.jp/?hc=hic#13/36.43689/140.424757/&base=ort&ls=ort%7C20191012typhoon19_naka_1014dansaizu&blend=0&disp=11&vs=c1j0h0k0l0u0t0z0r0s1m0f0&vs2=f0&sync=1&ls2=std%7Clcmfc2&blend2=0&disp2=11\" ,width=800,height=400)"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"source": [
"## 数値計算\n",
" - 前章の一次元の式とほとんど変わらない。\n",
"\n",
"$$ \n",
"\\begin{align}\n",
" (1-\\lambda)\\frac{\\partial z_{b}}{\\partial t}+\\frac{\\partial q_{bx}}{\\partial x} + \\frac{\\partial q_{by}}{\\partial y} &= 0 \\\\\n",
" \\boldsymbol{q_b}(q_{bx},q_{by}) &= {\\rm func} ( \\boldsymbol{\\tau_*})\n",
"\\end{align}\n",
"$$\n"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"source": [
" - これだけでは十分ではない。\n",
" \n",
" * 局所勾配の影響:局所の内部摩擦角が安息角に近くなるとわずかな掃流力で土砂が移動する。\n",
" * 斜面崩壊 : 浸食により河岸勾配が安息角を超えると崩壊が起こる。(その場の掃流力とは無関係)\n",
" \n",
"を考慮する必要がある。"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"source": [
" - 計算例\n",
" - 河床勾配1/400、粒径40mm\n",
" - 初期河床:粒径程度の擾乱、周期境界条件"
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