{"id":328,"date":"2023-04-14T04:20:52","date_gmt":"2023-04-13T20:20:52","guid":{"rendered":"https:\/\/luckyshi.cn\/?p=328"},"modified":"2023-04-14T21:45:50","modified_gmt":"2023-04-14T13:45:50","slug":"lsm%e4%b8%8eborn-modeling","status":"publish","type":"post","link":"https:\/\/www.luckyshi.cn\/?p=328","title":{"rendered":"LSM\u4e0eBorn Modeling"},"content":{"rendered":"<h1>LSM Born-Modeling<\/h1>\n<p>\u8fd9\u7bc7\u6587\u7ae0\u4f1a\u4ecb\u7ecd\u57fa\u4e8e\u6709\u9650\u5dee\u5206\u65b9\u6cd5\u8fdb\u884c\u6ce2\u52a8\u65b9\u7a0b\u6a21\u62df\uff0c\u540c\u65f6\u4f7f\u7528Born\u8fd1\u4f3c\u7684\u65b9\u5f0f\u6c42\u89e3\u5c0f\u6270\u52a8\u4e0b\u7684\u53cd\u5c04\u6ce2\u573a\u3002\u57fa\u4e8e\u8fd9\u4e24\u79cd\u65b9\u6cd5\uff0c\u8fdb\u4e00\u6b65\u4ecb\u7ecdRTM\u4ee5\u53caLSM\u65b9\u6cd5\u7684\u539f\u7406\u4e0e\u4ee3\u7801\u5b9e\u73b0\u3002<br \/>\n<!--more--><\/p>\n<h1>1 \u6ce2\u52a8\u65b9\u7a0b\u4e0e\u6709\u9650\u5dee\u5206\u65b9\u6cd5<\/h1>\n<p>\u5bf9\u4e8e\u6700\u7b80\u5355\u7684\u58f0\u6ce2\u65b9\u7a0b\u60c5\u51b5\uff1a<br \/>\n<span class=\"katex math inline\">\\frac{1}{s^2} \\nabla^2p + f = \\frac{\\partial^2 p}{\\partial t^2}<\/span><br \/>\n\u6709\u9650\u5dee\u5206\u65b9\u6cd5\u4f1a\u5c06\u8fd9\u4e2a\u65b9\u7a0b\u4e2d\u7684\u7a7a\u95f4\u5fae\u5206\u7528\u7a7a\u95f4\u5dee\u5206\u66ff\u4ee3\uff0c\u5728\u5bf9\u65f6\u95f4\u4e8c\u9636\u5bfc\u4f7f\u7528\u540c\u6837\u7684\u5dee\u5206\u4e4b\u540e\uff0c\u5c31\u53ef\u4ee5\u751f\u6210\u6211\u4eec\u60f3\u8981\u7684\u8fed\u4ee3\u5f0f\u3002<\/p>\n<h2>\u7a7a\u95f4\u5fae\u5206\u8fd1\u4f3c\u8868\u8fbe\u5f0f<\/h2>\n<p>\u516c\u5f0f\u5728\u4e0d\u540c\u7cbe\u5ea6\u8981\u6c42\u4e0b\u5bf9\u5e94\u7740\u4e0d\u540c\u7684\u7a7a\u95f4\u5dee\u5206\u683c\u5f0f\uff0c\u6240\u4ee5\u6211\u4eec\u9700\u8981\u6c42\u5f97\u5bf9\u5e94\u7684\u5f85\u5b9a\u7cfb\u6570\u3002<\/p>\n<ul>\n<li>$f&#8221;(x)=\\sum_{-n}^{n}c_{i}f(x+i\\Delta x) + o(\\Delta x ^{2n+1})$\uff0c\u5199\u51fa\u5bf9\u5e94\u7684\u7cbe\u5ea6\u8868\u8fbe\u5f0f\u3002<\/li>\n<li>\u4ee3\u5165<span class=\"katex math inline\">f(x+i\\Delta x)<\/span>\u6240\u5bf9\u5e94\u7684\u4e0d\u540c\u7684\u6cf0\u52d2\u5c55\u5f00\u5f0f<\/li>\n<li>\u5f97\u5230\u7cfb\u6570\u77e9\u9635\u7684\u65b9\u7a0b\uff08\u4e0b\u9762\u5c55\u793a\u7684\uff09<span class=\"katex math inline\">c_0=-2 \\sum_{i=1}^{n}c_i<\/span><\/li>\n<\/ul>\n<div class=\"katex math multi-line no-emojify\">\\begin{pmatrix}<br \/>\n    \\frac{1^2}{2!} &amp; \\frac{2^2}{2!} &amp; \\ldots &amp; \\frac{n^2}{2!}\\\\<br \/>\n    \\frac{1^4}{4!} &amp; \\frac{2^4}{4!} &amp; \\ldots &amp; \\frac{n^4}{4!}\\\\<br \/>\n    \\vdots &amp; \\vdots &amp; \\ddots &amp; \\vdots\\\\<br \/>\n    \\frac{1^{2n}}{2n!} &amp; \\frac{2^{2n}}{2n!} &amp; \\ldots &amp; \\frac{n^{2n}}{2n}<br \/>\n\\end{pmatrix}<br \/>\n\\begin{pmatrix}<br \/>\n        c_1\\\\<br \/>\n        c_2\\\\\\vdots<br \/>\n        \\\\ c_n<br \/>\n\\end{pmatrix} =<br \/>\n\\begin{pmatrix}<br \/>\n        1\\\\0\\\\ \\vdots\\\\0<br \/>\n\\end{pmatrix}\n<\/div>\n<p>\u5c06\u4e0d\u540c\u7cbe\u5ea6\u7684\u7a7a\u95f4\u5dee\u5206\u7cfb\u6570\u4e0e\u4e8c\u9636\u5dee\u5206<span class=\"katex math inline\">\\frac{\\partial^2 p}{\\partial t^2} = \\frac{p(t+1)+p(t-1)-2p(t)}{\\Delta t}<\/span>\uff0c\u6211\u4eec\u53ef\u4ee5\u5f97\u5230\uff1a<\/p>\n<div class=\"katex math multi-line no-emojify\">(\\frac{v\\Delta t}{\\Delta x})^2\\sum_{i=1}^n c_i[p_t(x+i\\Delta x,z)+p_t(x-i\\Delta x, z)] \\\\<br \/>\n+(\\frac{v\\Delta t}{\\Delta z})^2\\sum_{i=1}^n c_i[p_t(x, z+i\\Delta z)+p_t(x, -i\\Delta z)] \\\\<br \/>\n+[(\\frac{v\\Delta t}{\\Delta x})^2c_0+(\\frac{v\\Delta t}{\\Delta z})^2c_0]p_t(x,z)+2p_t(x,z)-p_{t-1}(x,z) \\\\<br \/>\n=p_{t+1}(x,z)\n<\/div>\n<h2>\u8fb9\u754c\u6761\u4ef6\u4e0e\u6e90<\/h2>\n<p>\u4e0a\u9762\u7ed9\u51fa\u4e86\u5982\u4f55\u8fdb\u884c\u65f6\u95f4\u8fed\u4ee3\uff0c\u4f46\u662f\u4e00\u4e2a\u5b8c\u6574\u7684\u95ee\u9898\u8fd8\u9700\u8981\u63d0\u4f9b\u8fb9\u754c\u6761\u4ef6\u4e0e\u6e90\u7684\u4fe1\u606f\u3002\u5bf9\u4e8e\u5730\u7403\u7269\u7406\u95ee\u9898\uff0c\u5e38\u89c1\u7684\u6709\u4e24\u79cd\u8fb9\u754c\u6761\u4ef6\uff1a<\/p>\n<ul>\n<li>\u81ea\u7531\u8fb9\u754c\u6761\u4ef6\uff1a\u8fd9\u662f\u5bf9\u4e8e\u5730\u8868\u60c5\u51b5\u7684\u7279\u6b8a\u5904\u7406\u3002\u8bbe\u5b9a\u4e3a<span class=\"katex math inline\">\\nabla u = p(x,0)=0<\/span>\u3002\u5e38\u7528\u7684\u5904\u7406\u65b9\u5f0f\u662f\u5728\u4e0a\u8fb9\u754c\u5f80\u5916\u6269\u5145\u6a21\u578b\uff0c\u7136\u540e\u5728\u8fdb\u884c\u8ba1\u7b97\u7684\u65f6\u5019\uff0c\u8d4b\u4e88\u4e0a\u9762\u7684\u6a21\u578b\u4e0e\u4e0b\u9762\u7684\u6570\u503c\u76f8\u53cd\u3002\u8fd9\u6837\u5c31\u76f8\u5f53\u4e8e\u5728\u8fb9\u754c\u5904\u4f7f\u7528\u4e86\u5355\u5411\u6cf0\u52d2\u8868\u8fbe\u5f0f<\/li>\n<li>\u5438\u6536\u8fb9\u754c\u6761\u4ef6\uff1a\u8fd9\u662f\u6a21\u62df\u5730\u4e0b\u65e0\u9650\u7a7a\u95f4\u3002\u9632\u6b62\u5730\u4e0b\u8fb9\u754c\u5904\u51fa\u73b0\u5f3a\u53cd\u5c04\u73b0\u8c61\u3002\u4e00\u4e2a\u5e38\u7528\u7684\u65b9\u6cd5\u662f\u5728\u8fb9\u754c\u5916\u6dfb\u52a0\u4e00\u4e2a\u6d77\u7ef5\u5c42\uff0c\u5728\u6b64\u6d77\u7ef5\u5c42\u4e2d\uff0c<span class=\"katex math inline\">p(t+1)=(1-\\kappa)p(t)<\/span>\u3002\u8fd9\u6837\u5c31\u80fd\u4e00\u5b9a\u7a0b\u5ea6\u4e0a\u907f\u514d\u8fb9\u754c\u53cd\u5c04\u7684\u95ee\u9898\u3002\u6d77\u7ef5\u5c42\u7684\u5e38\u7528\u8bbe\u7f6e<span class=\"katex math inline\">\\kappa=C\\times(\\frac{d_{i2b}}{D_{boundary}})^2<\/span>\u3002\u8bbe\u7f6ekappa\u968f\u7740\u8fb9\u754c\u9010\u6e10\u53d8\u5927\u3002<\/li>\n<\/ul>\n<p>\u800c\u5bf9\u4e8e\u6e90\u7684\u95ee\u9898\uff0c\u53ea\u9700\u8981\u76f4\u63a5\u5c06\u6e90f(x,z,t)\u76f4\u63a5\u6dfb\u52a0\u5230\u4e0a\u8ff0\u516c\u5f0f\uff0c\u6700\u7ec8\u53ef\u4ee5\u5f97\u5230\uff1a<\/p>\n<div class=\"katex math multi-line no-emojify\">(\\frac{v\\Delta t}{\\Delta x})^2\\sum_{i=1}^n c_i[p_t(x+i\\Delta x,z)+p_t(x-i\\Delta x, z)] \\\\<br \/>\n+(\\frac{v\\Delta t}{\\Delta z})^2\\sum_{i=1}^n c_i[p_t(x, z+i\\Delta z)+p_t(x, -i\\Delta z)] \\\\<br \/>\n+[(\\frac{v\\Delta t}{\\Delta x})^2c_0+(\\frac{v\\Delta t}{\\Delta z})^2c_0]p_t(x,z)\\\\<br \/>\n+(2-\\kappa)p_t(x,z)-(1-\\kappa)p_{t-1}(x,z)+s_{t}(x)\\Delta t=p_{t+1}(x,z) \\\\<br \/>\n,where\\ \\kappa=(\\frac{d_{i2b}}{D_{abc}})^2\\times 3.0 \\times  16 v_{min}\\times \\Delta t.\\ s(x,t)\\ is\\ source\n<\/div>\n<p>\u8fd9\u91cc\u7684<span class=\"katex math inline\">\\kappa<\/span>,\u6211\u9009\u62e9\u7528\u4e00\u4e2a\u5b66\u957f\u7684\u8bbe\u7f6e<\/p>\n<h2>\u7a33\u5b9a\u6027\u6761\u4ef6<\/h2>\n<p>&#8211;\u7559\u7a7a&#8211;<\/p>\n<h1>LSM \u65b9\u6cd5\u4e0eBorn Modeling<\/h1>\n<h2>Born \u8fd1\u4f3c<\/h2>\n<p><img decoding=\"async\" src=\"https:\/\/www.luckyshi.cn\/wp-content\/uploads\/2020\/04\/b_approximate.png\" alt=\"\" \/><\/p>\n<p>\u540c\u6837\u8003\u8651\u5728\u58f0\u6ce2\u65b9\u7a0b\u4e2d\uff0c\u5982\u679c\u6211\u7684\u6162\u5ea6\u573a\u5b58\u5728\u4e00\u4e2a\u6270\u52a8 <span class=\"katex math inline\">\\delta s(x)<\/span>:<\/p>\n<div class=\"katex math multi-line no-emojify\">\\frac{1}{(s+\\delta s)^2} \\nabla^2(p+\\delta p) + f = \\frac{\\partial^2 (p+\\delta P)}{\\partial t^2}\n<\/div>\n<p>\u6211\u4eec\u53ef\u4ee5\u83b7\u5f97\u5728\u8fdb\u884c\u8fd1\u4f3c\uff08\u6cf0\u52d2\u5c55\u5f00\u5e76\u5ffd\u7565\u4e8c\u9636\u6781\u5c0f\uff09\u4e4b\u540e\u7684\u8868\u8fbe\u5f0f\uff08\u6ce8\u610fp\u4f9d\u7136\u662f\u6ee1\u8db3\u6ce2\u52a8\u65b9\u7a0b\u7684\uff09<\/p>\n<div class=\"katex math multi-line no-emojify\">\\frac{1}{s^2} \\nabla^2q &#8211; 2\\frac{\\delta s}{s^3}\\nabla^2p = \\frac{\\partial^2 q}{\\partial t^2}, where\\ q=\\delta p\n<\/div>\n<p>\u4e0a\u9762\u7684\u8868\u8fbe\u5f0f\u4e2d\uff0c\u6211\u4eec\u7684\u539f\u6ce2\u52a8\u573ap\u53d8\u6210\u4e86\u6270\u52a8\u573aq\u91cc\u9762\u7684\u6e90\uff0c\u4e8c\u6b21\u53cd\u5c04(\u56fe\u91cc\u9762\u7684q(q))\u88ab\u5ffd\u7565\u6389\uff0c\u53d8\u6210\u4e86\u4e00\u4e2a\u7ebf\u6027\u7684\u5173\u7cfb\uff08\u65e0\u8bba\u662f\u5bf9<span class=\"katex math inline\">\\delta s\\ or\\ p<\/span>\uff09\u3002\u5982\u679c\u7ee7\u7eed\u5f80\u4e0b\u9762\u8ba1\u7b97\uff0c\u5e76\u4f7f\u7528\u683c\u6797\u51fd\u6570\u7684\u65b9\u6cd5\uff08\u6216\u8005\u7ebf\u6027\u77e9\u9635\uff09\u66ff\u6362\u6389\u6ce2\u52a8\u65b9\u7a0b\u8868\u8fbe\u5f0f\uff0c\u6211\u4eec\u5c31\u53ef\u4ee5\u5f97\u5230<span class=\"katex math inline\">\\frac{\\delta p}{\\delta s}<\/span>\u7684\u8868\u8fbe\u5f0f\uff08Fr\u00e9chet\u5fae\u5206\uff09\u3002<\/p>\n<h2>LSM<\/h2>\n<p>\u5728Fr\u00e9chet\u5fae\u5206\u7684\u57fa\u7840\u4e0a\uff0c\u6211\u4eec\u53ef\u4ee5\u83b7\u5f97<span class=\"katex math inline\">\\Phi =(p-p_0)^2<\/span>\u8fd9\u4e2a\u6700\u5c0f\u4e8c\u4e58\u95ee\u9898\u4e0b\u7684\u68af\u5ea6\u8868\u8fbe\u5f0f\uff0c\u4ece\u800c\u5f00\u59cb\u53cd\u6f14\u3002\u4f46\u662f\uff0c\u5bf9\u4e8e\u80cc\u666f\u573a\u7684\u6162\u5ea6\u4fe1\u606f\uff0c\u6211\u4eec\u5728\u56db\u4e2a\u5730\u65b9\u9700\u8981\u4f7f\u7528\uff1a<\/p>\n<ul>\n<li>1 \u83b7\u53d6\u6b63\u5411\u6ce2\u573ap\uff1b\u8fd9\u4e00\u4e2a\u6ce2\u573a\u662f\u4ece\u6211\u4eec\u4e00\u5f00\u59cb\u8bbe\u7f6e\u7684\u6e90\u5f00\u59cb\u7684<\/li>\n<li>2 \u83b7\u53d6\u53cd\u5c04\u7387\u7cfb\u6570\uff1b\u8fd9\u91cc\u7684\u53cd\u5c04\u7387\u4ee3\u6307\u4eceP\u573a\u6ce2\u52a8\u5230q\u573a\u6e90\u6240\u4e58\u4e0a\u7684\u7cfb\u6570<\/li>\n<li>3 \u83b7\u53d6\u6270\u52a8\u6ce2\u573aq\uff1b<\/li>\n<li>4 \u83b7\u53d6\u53cd\u4f20\u6ce2\u573a\uff08\u4ee5res\u4e3a\u6e90\uff09<\/li>\n<\/ul>\n<p>\u5982\u679c\u6211\u4eec\u6bcf\u4e00\u6b21\u83b7\u53d6\u7684\u68af\u5ea6\u4fe1\u606f<span class=\"katex math inline\">m=\\frac{\\delta \\Phi}{\\delta s}<\/span>\uff0c\u90fd\u4f1a\u66f4\u65b0\u8fd9\u56db\u4e2a\u4e2d\u7684\u6240\u6709\u6162\u5ea6\u4fe1\u606f\uff0c\u8fd9\u6837\u6211\u4eec\u7684\u95ee\u9898\u5c31\u662f\u4e00\u4e2a\u975e\u7ebf\u6027\u95ee\u9898\uff0c\u5bf9\u5e94\u7740FWI\u65b9\u6cd5\u3002\u5982\u679c\u6211\u4eec\u6bcf\u4e00\u6b21\u90fd\u53ea\u753b\u51fam,\u4e0d\u8fdb\u884c\u8fed\u4ee3\uff0c\u5bf9\u5e94\u7684\u5c31\u662fRTM\u65b9\u6cd5\uff1b\u800cLSM\u65b9\u6cd5\u662f\u53ea\u66f4\u65b0\u53cd\u5c04\u7387\u7cfb\u6570\u4e2d\u5bf9\u5e94\u7684<span class=\"katex math inline\">\\delta s<\/span>,\u4e0d\u66f4\u65b0\u83b7\u53d6\u6b63\u4f20\u6ce2\u573a\u4e0e\u6270\u52a8\u6ce2\u573a\u4e2d\u7684s(\u901f\u5ea6\u4fe1\u606f)\uff0c\u90a3\u4e48\u6211\u4eec<span class=\"katex math inline\">\\frac{\\delta \\Phi}{\\delta s}<\/span>\u5c31\u662f\u4e00\u4e2a\u7ebf\u6027\u6700\u5c0f\u4e8c\u4e58\u95ee\u9898\uff0c\u53ef\u4ee5\u901a\u8fc7\u5404\u79cd\u8fed\u4ee3\u65b9\u6cd5\u8fdb\u884c\u3002<\/p>\n<h2>Born Modelling<\/h2>\n<p>\u5bf9\u4e8eFWI\u7b49\u65b9\u6cd5\u800c\u8a00\uff0c\u53ea\u9700\u8981\u5728\u7406\u8bba\u63a8\u5bfc\u4e2d\u8fdb\u884cBorn\u8fd1\u4f3c\uff0c\u4f46\u662f\u5728\u8fd0\u7b97\u4e2d\uff0c\u53ea\u9700\u8981\u8ba1\u7b97\u6b63\u4f20\u64ad\u573ap\uff08\u8fd9\u4e00\u6b65\u662f123\u7684\u7efc\u5408\uff0c\u4e0d\u9700\u8981\u8fdb\u884c\u8fd1\u4f3c\uff09\u4e0e\u53cd\u4f20\u6ce2\u573a\uff08\u4ee5geophones\u4e3a\u6e90\uff09\uff0c\u7136\u540e\u8ba1\u7b97\u53cc\u65b9\u7684\u4e92\u76f8\u5173\u5373\u53ef\u5f97\u5230\u68af\u5ea6\u65b9\u5411\u3002\u4f46\u662f\u5bf9\u4e8eLSM\u65b9\u6cd5\uff0c\u6211\u4eec\u53ea\u66f4\u65b0<code>\u53cd\u5c04\u7387<\/code>\uff0c\u610f\u5473\u7740\u6211\u4eec\u7684\u6b63\u4f20\u573ap\u5b9e\u9645\u662f\u4e0d\u80fd\u6539\u53d8\u7684\u3002\u8fd9\u5c31\u8981\u6c42\u6211\u4eec\u8bb0\u5f55\u4e0b\u6b63\u4f20\u573a\uff0c\u5c06\u4e4b\u4f5c\u4e3a\u6e90\uff0c\u7136\u540e\u5229\u7528\u66f4\u6539\u7684\u53cd\u5c04\u7387\u83b7\u53d6\u6270\u52a8\u573a\uff0c\u8fd9\u5c31\u662f<code>Born Modeling<\/code>\u3002<code>Born Modeling<\/code>\u4ee3\u8868\u5229\u7528<code>Born\u8fd1\u4f3c<\/code>\uff0c\u5728\u6b63\u4f20\u573a\u4e0d\u53d8\u7684\u60c5\u51b5\u4e0b\u83b7\u53d6\u6270\u52a8\u573a\u7684\u65b9\u6cd5\u3002<\/p>\n<h1>\u4ee3\u7801\u5b9e\u8df5<\/h1>\n<p>\u9996\u5148\uff0c\u6211\u4eec\u9700\u8981\u6574\u7406\u57fa\u672c\u7684\u7b97\u6cd5\uff0c\u8fd9\u91cc\u6211\u7528python\u4f2a\u4ee3\u7801\u8868\u793a<\/p>\n<pre><code class=\"language-python line-numbers\">import finite_diff, born_modelling\nimport correlation\n\n# data \ndata,source = load('...')\n# model\ns,R0 = load('...')\np_field = finite_diff(sources, s)\n\nfor iter in range(iteration):\n    # get gradient\n    data_syn = born_modelling(p_field, s, R0)\n    data_res = data_syn-data\n    b_field = finite_diff(data_res, s)\n    m = correlation(p_field, b_field) # gradient or RTM images\n\n    R0 = R0 + alpha*m \n\noutput(R0)\n<\/code><\/pre>\n<h2>Tricks<\/h2>\n<p>\u8fd9\u4e2a\u65b9\u6cd5\u5b58\u5728\u4ee5\u4e0b\u7684\u4e00\u4e9b\u95ee\u9898\uff1a<\/p>\n<ul>\n<li>\u5f53\u6211\u4eec\u4f7f\u7528\u5e73\u6ed1\u7684\u5730\u4e0b\u901f\u5ea6\u573a\u8ba1\u7b97\u6ce2\u573a\u65f6\uff0c\u76f4\u8fbe\u6ce2\u5dee\u5f02\u4f1a\u6bd4\u8f83\u5927\u3002\u7531\u4e8e\u8868\u5c42\u7684\u901f\u5ea6\u4e0d\u7cbe\u786e\uff0c\u76f4\u8fbe\u6ce2\u7684\u5230\u65f6\u4e0e\u632f\u5e45<\/li>\n<\/ul>\n<h2>\u7ed3\u679c\u5c55\u793a<\/h2>\n","protected":false},"excerpt":{"rendered":"<p>LSM Born-Modeling \u8fd9\u7bc7\u6587\u7ae0\u4f1a\u4ecb\u7ecd\u57fa\u4e8e\u6709\u9650\u5dee\u5206\u65b9\u6cd5\u8fdb\u884c\u6ce2\u52a8\u65b9\u7a0b\u6a21\u62df\uff0c\u540c\u65f6\u4f7f\u7528Born\u8fd1\u4f3c\u7684\u65b9\u5f0f\u6c42\u89e3\u5c0f\u6270\u52a8\u4e0b\u7684\u53cd\u5c04\u6ce2\u573a\u3002\u57fa\u4e8e\u8fd9\u4e24\u79cd\u65b9\u6cd5\uff0c\u8fdb\u4e00\u6b65\u4ecb\u7ecdRTM\u4ee5\u53caLSM\u65b9\u6cd5\u7684\u539f\u7406\u4e0e\u4ee3\u7801\u5b9e\u73b0\u3002<\/p>\n","protected":false},"author":1,"featured_media":715,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[3],"tags":[7],"class_list":["post-328","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-seismology","tag-born_modeling"],"jetpack_featured_media_url":"https:\/\/www.luckyshi.cn\/wp-content\/uploads\/2020\/04\/b_approximate.png","_links":{"self":[{"href":"https:\/\/www.luckyshi.cn\/index.php?rest_route=\/wp\/v2\/posts\/328","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.luckyshi.cn\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.luckyshi.cn\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.luckyshi.cn\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.luckyshi.cn\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=328"}],"version-history":[{"count":7,"href":"https:\/\/www.luckyshi.cn\/index.php?rest_route=\/wp\/v2\/posts\/328\/revisions"}],"predecessor-version":[{"id":717,"href":"https:\/\/www.luckyshi.cn\/index.php?rest_route=\/wp\/v2\/posts\/328\/revisions\/717"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.luckyshi.cn\/index.php?rest_route=\/wp\/v2\/media\/715"}],"wp:attachment":[{"href":"https:\/\/www.luckyshi.cn\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=328"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.luckyshi.cn\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=328"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.luckyshi.cn\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=328"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}