焦岳娟1 韩炜鸿2
(1.济南港华万通燃气工程有限公司 山东 济南 250000
2.济南港华燃气有限公司 山东 济南 250000)
摘要: 目前燃气企业在门站与上游中石油、中石化等计量主要采用涡轮流量计及超声波流量计进行体积计量。随天然气的广泛使用,我国天然气市场呈现多元化,天然气管网互联互通,多种气源接入混输,提高供气稳定性的同时,也造成因天然气组分的较大变化,进而对涡轮、超声波流量计造成较大计量偏差。本文通过计算分析不同组分天然气对两种流量计产生的计量偏差,在门站计量管理上提出一些修改及改善建议,以达到减少天然气门站贸易计量误差,降低供销差,减少企业经济损失的目的。
关键字:天然气组分 压缩因子 流量计 色谱分析
1、引言
随天然气的广泛使用,为天然气供应保障总体平稳,天然气产供储销体系建设有序开展,西气东输、海气登陆和国家级、省级天然气干线的互联互通。随天然气市场多元化,输配气管网越来越复杂,天然气的调配越来越频繁,同一条管道在不同的位置、不同的时间段天然气组分有较大变化。
不同气质的上游气源进入天然气接收门站,通过流量计进行体积贸易计量。门站使用的流量计通过体积修正仪进行修正,该修正仪主要修正因温度、压力变化造成的计量误差,对天然气热值等物理特性自动修正。部分门站采用定期取样分析来确定天然气物理特性,然后输入流量计进行修正。使用的物理特性在一段时间内是固定不变的。
天然气组分参数对流量计的影响主要有两个方面:一是影响压缩因子Z的计算,天然气组分的变化造成压缩因子的计算误差,从而影响标况下流量的值;二是天然气组分的变化造成相对密度变化,从而造成工况下流量的计算误差。所以实时更新天然气组分及相关参数是非常有必要的,将大大减小流量计计算误差,减少贸易计量偏差。[1]
2、流量计工作原理
(1)与上游中石油、中石化贸易计量表普遍采用涡轮流量计、超声波流量计,已经很少使用孔板流量计。超声波流量计计量较准确,价格较高,所以一般情况下,对于压力较低、中小流量,与上游接管管径DN150以下时,选择涡轮流量计;对高压、大流量、与上游接管管径DN150以上时,选择超声波流量计。本文分析主要针对涡轮流量计、超声波流量计。
流量计计量公式:
![](data:image/png;base64,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)
式(2-1)
![](data:image/png;base64,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)
门站中流量计全部带有温压补偿,修正因温度、压力的变化带来的误差。由式(2-1)可知,影响计量的就是气体压缩系数,而气体压缩系数受气体组分影响。标准状况下,气体瞬时流量与Zn/Zf成正比,即不同气质组分的气体在相同的工况条件下,Zn/Zf值越大,流量计计量结果越大。[2]
(2)气体压缩系数的计算
压缩因子是表示实际气体收到压缩后与理想气体受到同样的压力压缩后在体积上的偏差。压缩因子计算公式为:
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAF8AAAAmCAYAAACiYUf8AAABI0lEQVRoge2YwW3DQAwEry4WxHpYDZthMZuHYSmxpdgJcqb3sgPoIehzGIiLPQ6INkb3Af4zkt+I5Dci+Y3Qya8wjDG+PBbVfaxfQSnfc3uBWYBTPaH8nUKYgfSnB0Asv8Lu4qYyEJE0k8Ap/yhuKuBkY0Ao/yZu0mFRqHSYOZLIP53807ajP78Ryd95eR9Ph20dlIOp8lfp47N4Qeyc9PEK2M1ksN9Yf8p0+Ud9XFyYK/+P4+ZoSr573p2JJzzu4/tnxc46bYeQ95/NhaGSv9o00clf6e5AJX+Hf5cPkMpf5e7AJ3+BuLlCJv98l++RSHeqzSaV/Me7/IQTbTap5J/yWT5RJK0hf1tdSL54EslvRPIbkfxGJL8RyW9E8huR/EY+AN0mO8OeuhE8AAAAAElFTkSuQmCC)
Z:压缩因子。
标准状态下的压缩系数计算公式:
![](data:image/png;base64,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)
3、实例分析
现在天然气供应格局已由单一的国内气田气向多气源、多类型天然气通过互联互通的输气干网混合输送并联网供应转变。以山东为例,上游气源主要有中石油冀宁联络线、中石化中济青线、中石化中济青二线、天津LNG、中俄东线等气源。不同气源的引入,长输管线内天然气组分不断变化,在这只截取其中一组组分。不同气源各组分如表一所示。
表一 不同长输管线天然气物理特性
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAdQAAAEqCAYAAACsv6EFAAAgAElEQVR4nO2dXa7sKNK1c1wMiHl8I2hGUAOoAXDTU6jbVyqVB9FXJVV3qyu+C2wT4IB0boNNEuuRrLNPbpw7Y4FZ5icdL8r4+++/6bfffstfBgAAAECFF//P33//Tf/617/o999/f+rzAAAAAF/J67fffiN+/P777/Sf//zn6c8FAAAAfBUv8cXXCwcOHDhw4MBROD4yVDA+qKe+aNNXW7w1mmnh7d4BG+fJmdghWx+LLc4R+y8tzpJb2nyEllzSZSItYKgTgnrqizZ9tcVbo4cWdWPw5NySmM7r9SJjPeWnePui18uw91qCOVlPRJ7s60Uv42jZy77o9bKJSf2UVrp8uxYw1AlBPfVFm77a4q3Rx1Cd2JF7u3bwiyNTmF60yYmr4aRvEo3F21De29VY2o3y2hnqd2sBQ50Q1FNftOmrLd4aTbRITMGQMS+ylo+6tpHSagrLQs7mBmKEzl82EWtX01hNxFt27uLJP2mok2kBQ50Q1FNftOmrLd4a7bVYyFlHzpcnG713ybriftj8nIKJ+IWcMeTcZiJtpnk5bXT5fi1gqBOCeuqLNn21xVujuRaLI+sWIu/k6cbFkatszEkpmUj41xiTjsq20eG6lniFViP3b9cChjohqKe+aNNXW7w1WmsRR0hhdMY788WZMOWZbcI5t24YN/CEMmEjzm4oa7mR1lBn0AKGOiGop75o01dbvDXaaRF2nSYmsDgyyU5TyVjKozJvc4NJd7Muzux/L5aV1h8/55ou82gBQ50Q1FNftOmrLd4a7TYllTpvNnoiosX70ybyJNc2Jc2jBQx1QlBPfdGmr7Z4a0ALGegS0GOohymE7NfLQkSerPXrovi6G2ywJ3GcoctORLN9idquGwfCwr68wy7gbb6usf+CrFvvTL0jYyy5bb86W9MIf5etq5hy/fHdeoszZF26gaEll/XNNl0U125YubB5YmuTnmy2eaJn/M3a076GJf3upCbEy5ji+/XS46v7wI5Al4AKQ12cCXPn/DtP5rjobb0n5/w6V7+a6xfSfieiJ2teu4HuX4h+Za9RfP1wGEfORc29c7SwdZGtA/WsTNLJLo7s+rd2Uyf2O/b/bSoo+Y5ZQ67ru5D34RFrxrm4trNqF5vd9jUCS95T/J6c9+mNRef4r8S7LGt8h8OQSRzuhCaVL/Un13RHPb61D+wNdAnMbaj7BbiOhF6GjHXJF4P5hWq9J2dt+Hn7crEJ5b/JW3uMUJeFaPF231ru1kd7WcvXMY4jp/irYIK7odpXou/r9VpHrdvmgIWcWx8TZj1558gvy3puOlINayuL/P20Bl8JyLmk72aGqznuI7HFkWGNLK4PefI2jOy21/LRW+/4r8Sb1FUyCmW7ME9qklNaQ+upx9f1gTcBXQJzG+rO1tEvtPjSRcqmNZ0Po6n1ou41ddiLXvWU75w7Tvf6dDRifXZO7FzzEWp8bf8POWfDOVsdeEfOZ/Wxj4jj6IMbjq98SfynXNM33CDEDRZruzt09J7sy5JfzSZoE9ux20S4If7uhnpSk/DViTgrkox212vX/r++enxvH9gX6BKY31D92imvF6lhD1c21obOed9pFi7ycAGGUVnxS8YD09NQ9+m4lyXnTHH9dD2hssYljR4s2f2m5vgF7/2c/E33KT5/mF60tn39tdB3WVIz8fZFxjjy62zAhvd+n3LnMwMm/YZ71/ivGWp5itZkH+ysJsdpZEOWPzOuox5f2QfeAHQJzG2oPj63cZ9GNLFD3u+I199ba1ajWNdcvB9ya/Y7etTTJx0jO6lsqNIINXmu5pv1MnFdLT5A2/l1RNNhrv6yvosjZ7OR1OLC2nDyFQIf1k63G4t9toTpdkP8lwy1tCaeP8nmtCZxpCq2wc56fF0feBPQJTC3oRIJpkq0T6elBddNSGwzknfZxonvoHk9sWlFa+0+vcZH+8XdvDVD3Tq/VXfnfJzKPJ4QO9W3swZhZBI62XR004Jra6iW+NT3fsOWLy3w7+dJG72qa4Ft42/Wnkr1dlaT/fcVQ5X/cDM9vrIPvAHoEpjfUJNOe1snLXz9Yuu4wg4QMsZUvnQ8Lt3qKfsS9v44sFL5kqFuOhtL1m45Cdf34WmV+DptYiqsTjKz2b6OY+36lYoOU/ZX9Y2jNnbzJpjHPmKvGeoN8Xc3VDqvSXg5nzXiG5z66vGVfeANQJfA5Iaa7/QrmCM30iz5rPhYrMFpX0+ljTNESQeYl3+bsDfWD3+LsFab/aUTI1Rvw/db053E7W+Irk/5LuvXQZg+gnnsm2kO8R4fw0bUL/47DPWsJuFlZqiVGZIeenxfH3gP0CUwuaHqBPXUF236aou3BrSQgS4BGOqEoJ76ok1fbfHWaKJF9uCJhNIySb7ZSti0Zz0ra7alFHlE3irLzMYlXX6iB//qWO0pasuSzeTI35XvnXUHhvrFoJ76ok1fbfHWuKyFt8fv155+mtT+JuUHqFD2vdtiAu22S1k/1uWKHpvZ5jcXxuw3FMeHgwh5UsNfbaIHDHVCUE990aavtnhrXNNCNsJzD7+I1EdT6Z4Gvtnv+JWh+vOxP+Fnuvxcj/07y8tC3jmy1qwPgnmRsY589qaL9+ST3eGGrPPZ376uBwx1QlBPfdGmr7Z4a/SY2vzMUD257ElRxvARaXi8atyItU4Pl5+w0mSU+iNdruix3iCEh3+EB3vE54K7eBNhwhPGvN/O3f5d5K/oXdQDhjohqKe+aNNXW7w1rhqq3IeffWhKyDaUTwNzA7E+NQpv33xn+WFDvabH+v1is359L//K1P7tK0deeGqW+JAPGCrIQT31RZu+2uKtcXnKV+itzz5Nak/hVzLU8L/992+/J76/5+eR5Px4yveCHltShd0w1/dKzqeFvOcj0/oI9aoeMNQJQT31RZu+2uKt0WNTUvp7+bu6MffrGUN1+3PL0+nTNO2f+H3vH9JyU1L6+7Ie23Ru/lznPFFC0O29obbQA4Y6IainvmjTV1u8NZpo4W3l+dfvnuQkpaWz4gg1/CnZUGvJ2X/CJV1+pIdwY7Gl7WOvxw1c9SnfVnrAUCcE9dQXbfpqi7dGdy3OGOq7ESrblJQ/97jViDSnmy41Q82fFrZ+fcYcpsmJjhu8CpuSLgJDnRDUU1+06ast3hrQQga6BGCoE4J66os2fbXFWwNayECXAAx1QlBPfdGmr7Z4a0ALGegSgKFOCOqpL9r01RZvDWghA10CMNQJQT31RZu+2uKtAS1koEsAhjohqKe+aNNXW7w1oIUMdAnAUCcE9dQXbfpqi7cGtJCBLgEY6oSgnvqiTV9t8daAFjLQJfCxoeLAgQMHDhw45OMjQx2VkT/b3UCLvmjTV1u8NaCFDHQJNDLUmJiVZ1vnefqS0ttzExd/SAT7U1ChEWjRF236aou3BrSQgS6BNobK8trx50rKmeX5MxjljPQ/ofTZYm69NfWRea1ZCvjPMQ4p4e23IWvBHqq9PwVaeq1MePh07f22X82hY4nz+rIHctcyavBzjfQc1u15pLLmx3Jtad+e+IPK08+ctrHxOK3F+lzZbRqwLIfURt60pTft4QnOt5EP22vSl/xAq+p1154mhhryz4VRqksexnwULDfZ9MHOP0f8bGtW9+1n69m/lP28Vkyvh0ffiaQFz6awPzCaNdZ6HsD6zUd67jw6ljitL2tf1WwWUptcHBmbPwRdrsO8XGvOxit+PhFP/vCRhTY2IOfrnmV2qd0kSG1EvLYEzU5fv/35pM85316zvuSsVmevuw5cN9Q9S/p2UZVHqPHOhGVXN4ZM9Q7u54HkHb33S9FQQy4812zE/CRy42Y3LkJW+jQpr4SQ3UE4dyYdS/xE32oWEdYp7NeMt2StjddL6W8I5VpzNt63GsSzyVsjjCDKbWwUPq/7D2bhhDYSr62SZnm5ZzitywfttdqXVLWql+tJsynf2CEURqhJzjuWqX0N2NtrpiobqlBh+w0Am4rZL4J2U9BPUr9bzEeQYXrk/YhS6uyycyfTscRn+lI6UyISp60Mv46y2RXpb0jlWnM23qoG6clJf5HMEn2loZbjPj0Dd2gj2bVV1Ozs9duXT9rIqfZa60veaVUs15/rhsrXCqw/sYZK2SixzR3E+xGq9LfDz3GddYz1iKvIlbqtKxiy9jgN8n5qpNzZbefOpmOJj/Q9cVHz62TTMqmPvTM9/g25XFvOx1tvYyL5sssXGmo57pM5NyttRLwuBSO6e2oz56wuZ9trsS85q9UDZkrU8MEO3oapCH/CUPnIsWi6H1KajuZ3eK66hko0y8iqvuMu7sj+bK0h6+yq586hY4nT+ibrRdK64XoGvwa2Niut/0t/o1quDafjrb7GSNqOTdffv9JQN7K4z6wXSm1EurYkzR5cK8z5pM/5rL2yvuSsVievux40W0MVRyivdBqL6Fjx4rTsD3i7y+yws3e9ezJxx7EVPu838m4mIZ8uStZlvBXWaJiO+7pHaSfdPDqWOKuvuPwh6itruV9P22tiHQrlHopXfO1dvNIO4U5rwS04f23R0VAFLeQlMqk9SJo9t5s15xNdDu1VbCNEeV9yVqvisuMNNBuhvidbX1jFbtXpXvtscwEt+qJNX23x1oAWMtAlcKOh9mXkz3Y30KIv2vTVFm8NaCEDXQIw1AmBFn3Rpq+2eGtACxnoEoChTgi06Is2fbXFWwNayECXAAx1QqBFX7Tpqy3eGtBCBroEYKgTAi36ok1fbfHWgBYy0CUAQ50QaNEXbfpqi7cGtJCBLgEY6oRAi75o01dbvDWghQx0CcBQJwRa9EWbvtrirQEtZKBLAIY6IdCiL9r01RZvDWghA10CUxkqDhw4cODA8eQh+lPJtD7iRPaLrg/HVwq06Is2fbXFWwNayECXQD9DzR54HB5YvCZKTjLYh2f89kgwrhVo0Rdt+mqLtwa0kIEugU6G6skm2QPWvIDekVuk1F5v0j2doPTZYgacUnYCnoGG/8yzFtybseAqshYsm8fJZNfVrBY8D+5ruyEaJ/tFT5rpm2ceSW40x+HttVWNt9ImOuVv7UmtDzxdf0nccnsoafttbYTozGdmbWTva0/2Q6evu3voY6iHC4UZqvOycV7M5Sh+Nin33ptcg/vPZ3IZDoqoBasTMfF6rZyoWazH/YIZKD9jTy7pK+bjTW/kRqMU73Z9nI03bRNZ9qkvoXozdar+srjf9D1R2y9sI6c/s5Cz9GQ/xNtUtR3eRDdDzRPVh9GeIeMs2ZdwIXUw1FTghbzP/6Y7VFRivNaud03j5meUeFdP3p27KMVym2bxBTmZ+KHcPFzSl3UU35JcW4o3McctKfo7WJvw9kXGua9LRF+u+3P1d4hbaA9lbb+rjQTOfOaFvDXFma1aP7Q4F/vmix7Sgn5TvlJkiyfvHLllHbHyMy7eXciGWjHCbPTKd2ltdz6fZZYfh3I9eflm5mw5rtlK0qAr5Wbimr5xiiot912d5ceGKs0WlW7GBuaScYhxH9uDOkNNbir4LMb7fiiWH2PG47ZNSUTr1KA/Gmq4a7smxPsRavbZ0hTyhxFqUrFfttbzrp7OTsfmF/bRJI83RrObKdE1ffmo9DAF+kWd5UeGmrWJuK9hnLWvs1wxDiluqT2oM1SOMHip90Pbuqoha59fZur7tZmsMYQp1/Suo9VaW2kN1bCpFXdYG13n7gtTvlONUM+ub0rlJM0of71SbjKu6JtM835zZ3l2DbXaJpSNUHdi3GJ7KGr7ZW2EiD4buTM9PumHtr9zcWNrC/oa6o283Xl52Lm77SjjC+fr3c5adr+jHHQjQAlZC2GHnDCLIJU7arYWzQy1WG4yWuubtNMB1+tP7/KVZqWKbSLq8PQ03Se87We2+hPrnugYt7wL+rjL9xvbyFldmAaVHb1iW2LfNhhh0DO5oeoEWvRFm77a4q0BLWSgSwCGOiHQoi/a9NUWbw1oIQNdAjDUCYEWfdGmr7Z4a0ALGegSgKFOCLToizZ9tcVbA1rIQJcADHVCoEVftOmrLd4a0EIGugRgqBMCLfqiTV9t8daAFjLQJQBDnRBo0Rdt+mqLtwa0kIEuARjqhECLvmjTV1u8NaCFDHQJwFAnBFr0RZu+2uKtAS1koEtgKkPFgQMHDhw4njxEfyqZ1qiM/NnuBlr0RZu+2uKtAS1koEsAhjoh0KIv2vTVFm8NaCEDXQLTG2pMmbQ9mJs9sDmkMGAPxxd+fr0meTi+9MDtCjxlHXsA9ev1SvIPpu8nP+h7Ni7pK2q5/sr7woPln000cLU9HcpVNBidWh+Y19+5ctJ1JPQ9g2t2rY2wfmNv61JfIpWT9HuOuQ1VSsHGjGJPjVRI33Z47UsQtTibbisUTpP1er9nt9g6A56iTNKxVVq+Ebmkr6BlelN3fL+nuRSvVE7U4DuQ+0Ch/kTkej7XH42t2bU+R0j1KPYlx3JiP/QgUxtqnksw5GNlv3cxzdahASdZ5O3jFfUJkhafJIQOCd+dkKuS53F0MYWUdMPh3Vdp9glX9V0LZfpmeSO9JWvtejf+bLquK/HWy2nMh1out/dH1b5nTM2uXRMLeWvKM1t7X3Is97YfupnJDbXUEaVJzslvHZc8pflN+RqJLjbuvVEeL1zeeOP7ZaPZ9T1GmH7pRQtDTTqC8ErS0S7ODJPgvpehHjUYnz6GmvVHlb5nVM0uXRPJDUQ2s8X7EqFctR96gMkNtT4FsFeGMELld4bfNn15pXHHNWdhXcclLX1dzzBkbfreM5spUQtDzbVcX8sMNUrP1rMfoI+hShqMT88RajSJUt8zrmZtZm3o0BcX+xJ24y/2Qw8xtaEmlbg4cpl5njXU041hEK6voRIdRqjFNb2FnFlnApIywrrIJFzWV9TyOOU78gj10hpq9vo30dxQhf6o2PcMrNm1fQVcgzV2qS+RysU/FvuhB5nbUMWduvnuMb5RYP0d//kLd6ye3nHnbSG2GHvxYma7DnmHEEe3z28Q6MVlfQ8dI2unbL10f7+H29/VeMWdngObQ423/cxWf6IWUj2/2c066Ea1nGtthMW7lpP7kmM5qR96kskNVSfQoi/a9NUWbw1oIQNdAjDUCYEWfdGmr7Z4a0ALGegSgKFOCLToizZ9tcVbA1rIQJcADHVCoEVftOmrLd4a0EIGugRgqBMCLfqiTV9t8daAFjLQJQBDnRBo0Rdt+mqLtwa0kIEuARjqhECLvmjTV1u8NaCFDHQJwFAnBFr0RZu+2uKtAS1koEsAhjoh0KIv2vTVFm8NaCEDXQIw1AmBFn3Rpq+2eGtACxnoEpjKUHHgwIEDB44nD9GfSqY1KiN/truBFn3Rpq+2eGtACxnoEoChTgi06Is2fbXFWwNayECXgAJD9WSzzCcx52eWEWXPO8kz0PCf12LeJ9kSxGwaD1LS4pPPmcYoZe3hGSE2HVm5QbToQXt932QceThzz9V4S+Xy6+gbaF/30rmV6+jh3Lgl2rcRqc8ZXxcFhppRzDOZZXwXcqSSYK6f5xntj6jF6c8pxChpIaWSYo16FC160FPfmJR5nHyyl+IVywkafAnN6146t3gdZX3UQDRvI2KO6phAfFRdJjdUnt90fSWrCO+3hvsi41xMqi0aajiHJwj+UVb6zkhafPY5syTI7ALfE/t6S9badQR1TOzr3fd1lmdpri/Hu910vDWHWYEnuBJvudzZhNxj0bru353Lr6NDHzUQzduI0OcszsV+hvXJI+kyuaES5Q3YWyGr+145PjFUvnNLtaGyqRazN3JTGOmHm5gRdOhFN0PlsydJh2IeTZ4MQ43cZ6jZdST1UQPRvo3IfQ6fKTRuGU4XhYZ6nHqIa6psfh4jVBaj3TXb3id5P2H94mkT6EkXQ+VmmpO0v/uBoUbuHqFuvxf7qIFo3UakPifuKzBk7Zi6qDPUpGIXRy7R33885TvfGipRzVB3/aS1aHEtcD5a65uuR69rp4mWdrxNSZfWUIlmMtRWdS+tHx6vozFGYjmt24jY58QTyJl8pnEMXSY3VL5TcqsAeccqL2vcP9nmAb4Oy85l64Zfu8vXW2F9TopR2oXK3k/amfqFG07O0lrfuFua7+hlWg56130u3jc7OIX195Fpf21J+pSuI95HjXV1tW8jggaLI3NYgkvLPq3L5IaqE2jRF236aou3BrSQgS4BGOqEQIu+aNNXW7w1oIUMdAnAUCcEWvRFm77a4q0BLWSgSwCGOiHQoi/a9NUWbw1oIQNdAjDUCYEWfdGmr7Z4a0ALGegSgKFOCLToizZ9tcVbA1rIQJcADHVCoEVftOmrLd4a0EIGugRgqBMCLfqiTV9t8daAFjLQJQBDnRBo0Rdt+mqLtwa0kIEugakMFQcOHDhw4HjyEP2pZFqjMvJnuxto0Rdt+mqLtwa0kIEuARjqhECLvmjTV1u8NaCFDHQJqDTUmPIny4CwpyFb2MPx+c9rMe+Thzt/7cPxK6QxygkF4kPdzZ4UW048MBft9a0/CPz1yh8Gfi9X4y2Vy6+jb6CXFmkKROnh+DzRxxhZrTjNdRHbv6QL63MG6H/1GaqUdoyIkqS1+e/2n4/mOl/6NiFGSYsk5Vil3IT01HdP1+X9no3kaeO5FK9YTtDgS2ivBVGt7+G5QP3A11NzXaT2L+nCbkRG6H+nNlRvX2SsXe90QrqkvCF7v8Syzn2cD1VDgnHeaPc8hd6StXa9g1xTUUnlJqS5vhzvMt2ez/N4JV4kGH9f7tD3cPb2sJC3ZtjZnz5thKjY/g/XCZF3z+sytaHS4sisjW/r4L0V8i/uhpkmGH8dphyIVBoqm1Yxu2EaYaR/LDcj3QyVz57s7+sezxcKQ40010LqeyiW4VOgll17o83+9DJUsf0frpMwFTxCnzO9oeYjJmlaIK6psrl4jFBZjHG0ub1P8n6rzlK5GeliqIKZEi3k3PMiwlAjrbUQ+57198U1wQGXU7q1kbz9V3QZoc9RZ6hJhS2O0vryH0/5zreGSlQzVH5nnY9QxXIT0lrfdD2arZVJ69QP0G3dcBJDva4FUdL3SO0hWT8cbzmliy55+3+rCwy1GaU11LC+t+4OC6vYhZ2ocQeZcf9kmybW1/mOX75uuP+dMXaZEX2w485bYT1GilHaXcfeT9qJOOA6Tyta6xt3S2c7OEc2VDobr3R9yNfRN9BeC6K071kK7YFdWwO0iZwuumTt/60uA/Q5UxuqVqBFX7Tpqy3eGtBCBroEYKgTAi36ok1fbfHWgBYy0CUAQ50QaNEXbfpqi7cGtJCBLgEY6oRAi75o01dbvDWghQx0CcBQJwRa9EWbvtrirQEtZKBLAIY6IdCiL9r01RZvDWghA10CMNQJgRZ90aavtnhrQAsZ6BLYdPj111+TA4b6xUCLvmjTV1u8NaCFDHQJbDr89ddfyQFD/WKgRV+06ast3hrQQga6BGCoEwIt+qJNX23x1oAWMtAlMJWh4sCBAwcOHE8eRJMYKghAi75o01dbvDWghQx0CcBQJwRa9EWbvtrirQEtZKBLQIGherKvNHVQzEEoZCx4GXLLwrLN8J8Di/dilpoRsh0QfZD5oUIS4+LIsCmN5HSWIk8LV/U9lsvbH5GcFUkq15+Rr/u7gRYy7a+JN1mKpNcG6H8VGGqGkMczyUHJyh3zoR7NdbR8fEQXcxOKMfo9xVZ6MxHKzpr3tMQlfcVyZ9ufUO4GRr7u7wZayDS/JoTXeP+6lyvmrX6GyQ2V5zJdX8mSHHu/hH+tSe9yziYYT/6cGyLxr6RFYvZvk3+XYmRJkCncQRrnktc0cEVfuZzQ/tjIPyaUFsrdwMjX/d1AC5nW14T8mou5c7c+WbxOnmNyQyXKzcFbIaFxUilrRXqb7Nx6a6h85PswvQxVbNCZyWqguaFK7Y9NZe3vJZbrz8jX/d1AC5l7DDW9Nrab0cN18iAKDfXN2tNmFJ+MUAcyU6JehrqQc8L6xuvcGslMtB+hMta2xu+2RfO8cXpr5Ov+bqCFzB2GGvcQGLLWnLtObkadoSYVuzhymXnuFXTWUNlc/1NrXDnX1lCJRENN4uRghEpE19aLhPaXTF9tbVZqpzcw8nV/N9BC5o41VHYCORNmGsXr5EFyQ/3zzz/pt99+m8VQ+a7Ibar3ze7JMDHPNubwdVh27murUMNGavftvKxxesedt8Ja3DHG8LJkqFG3pxvynVzT980uX+m1Yju9h5Gv+7uBFjLtrwnhNfZtg1hsrG9ZSIb6f//3f7MYqk6gRV+06ast3hrQQga6BBRM+eoDWvRFm77a4q0BLWSgSwCGOiHQoi/a9NUWbw1oIQNdAjDUCYEWfdGmr7Z4a0ALGegSgKFOCLToizZ9tcVbA1rIQJcADHVCoEVftOmrLd4a0EIGugRgqBMCLfqiTV9t8daAFjLQJQBDnRBo0Rdt+mqLtwa0kIEuARjqhECLvmjTV1u8NaCFDHQJTGWoOHDgwIEDx5MH0SSGCgLQoi/a9NUWbw1oIQNdAjDUCYEWfdGmr7Z4a0ALGegS2HT45ZdfkmNqQ42px7aH2fOH6BtyC384Pv85sHjPHsI81sOZiT54UHWFJEb2UOrX67Un9j28poSr+lYfjs8SjB/1ZYkL8HD8R4AWMtAlUNJhXkPluUtZkuxD2jUxfdvRXNOUWs/n4yO6mr5NitHvWWd2o5VeU8Ilfd+mb9sS3B/15e3rfQq+dox83d8NtJCBLoGpDdXbFxlr1zv9kIos7YgW8j5kfffWpCOETxKM73/QDZu+7XqCcSI59ynyoRK1TDCet6Go7+JcTKeHBOOPAC1koEtgakOlxZFZDXJLROsty/HJytm909pGCDbZufXWUPnI92F6GWrSoVdem51uhiq0Ia5vPDfMItyVg3bk6/5uoIUMdAlMb6jRKDdDfTNVtt35fzJCHchMiXoZ6kLOHexUeG1+uhiq2IZyfbe1VkPW3re8MPJ1fzfQQga6BPYjINkAABNoSURBVNQZatKJLY5cZp683ClDZWti4lrsA1xbQyUSDTWJs/KaApqvoZbaUFHfhZwRZlo6MfJ1fzfQQga6BKY21LCb0pLf7uzD9tS4U3LfeMN2WfIyxtGy/Y7v+GVrsoszbGr4vo0iNU7vQvVW2Jl8jDG8DEPduKbvsVyxDeX6sp2/d8o+8nV/N9BCBroEpjZUrUCLvmjTV1u8NaCFDHQJwFAnBFr0RZu+2uKtAS1koEsAhjoh0KIv2vTVFm8NaCEDXQIw1AmBFn3Rpq+2eGtACxnoEoChTgi06Is2fbXFWwNayECXAAx1QqBFX7Tpqy3eGtBCBroEYKgTAi36ok1fbfHWgBYy0CUAQ50QaNEXbfpqi7cGtJCBLgEY6oRAi75o01dbvDWghQx0CcBQJwRa9EWbvtrirQEtZKBLYCpDxYEDBw4cOJ48RH8qmdaojPzZ7gZa9EWbvtrirQEtZKBLAIZKCy0DPNC+JSPX0wxo01dbvDWghQx0CUxvqHtmD5bFI2b3MOT+6cn7uRz1rRYnUpUs3rMsKSwDTcxzt2c+eb3uzX7yNO31ZdmO8uw0LAXhU4x83d8NtJCBLoG5DZUnbd5ymipIOSZqcTofKk9dt50ak1nv53q/p3ZLzWF+Wuub5uM1ae5d83qTDL4/I1/3dwMtZKBLYGpDTTu2JYxEvSVr7Tqyui9J851IWiQdNU+yLpImGF+cizolydaJiDy5EZLA3khrfRO829usty8yzj2u78jX/d1ACxnoEpjcUI+GuThzHLVORntD3c49jpgSs1VCN0OVZlQGuGEZ+bq/G2ghA10Ckxvqceot6fgGWJ/qQfsOf1vjM2RtNiXptNlpJ0PlZkp87f/8umwvRr7u7wZayECXwNSGmnRsiyPnqTAKmItra3xE5SnJhZxho34F69ESzfVNdPTkB5tSH/m6vxtoIQNdAnMbKt+dyjaB7Hf/+Y7KSTi9C9VbQQOm2bbGzHb0Jv4JQ034qb5x13m6G53v/n1yY9LI1/3dQAsZ6BKY3FB1Ai36ok1fbfHWgBYy0CUAQ50QaNEXbfpqi7cGtJCBLgEY6oRAi75o01dbvDWghQx0CcBQJwRa9EWbvtrirQEtZKBLAIY6IdCiL9r01RZvDWghA10CMNQJgRZ90aavtnhrQAsZ6BKAoU4ItOiLNn21xVsDWshAlwAMdUKgRV+06ast3hrQQga6BGCoEwIt+qJNX23x1oAWMtAlAEOdEGjRF236aou3BrSQgS6BqQwVBw4cOHDgePIQ/alkWqMy8me7G2jRF236aou3BrSQgS6BiQ11fQi59bQ/ZNw4WtgDx9U/HF+EPbw9K7d4z/SSypXPnYlL+rJEA6/XmmxAem2gdnqtPQXStsNie73LzDMWI/eBT1LTJa17mWNbKreR5P3Ea+c5JjZUCtk+tsrYUrWxlG1JDsuJELU4mV6MaxLLrUZp0pRjWy7ZrZx87nxc0Ze839Pf7R2D+No47fRSvFLbOaSo+x5G7gOfRNZFqnupmNSWpDYivJ907TzI9IZq7Zr/VMp96t2Unb6kxdkE2ItzMd9polkpRyqRd+H18rlzcUXfiJTntJD79OF2ej3evO0s5K0ZYvT9KSP3gU9S1qXcb+wlxLZUaiOl93s+bzCRBkP1CzljyLmsg+eJxifjmqFu5cLdYCwnNeQwLbOVKZ87Fy0MNbn5qLw2QjttbqhsduPp0fenjNwHPklzQy22Efn9xGvnARQYavjXmLTSnu6kenKtA9zWLgxZ+74hp+9dOncumhiMO9jp8bVB2mn7ESrjy2YyRu4Dn6T9CJXxdqZMup6eQYehrh39vgGELXx/61pOjWtrXvsJ5Ixld31ZQ66u8eXnzsVlfZM2WHhtoHZ6vT3V2o79qmWXkfvAJ7liqGJbKrYR4f2k6+khJjZUvrM3dvqLM+w7Q3NunDm9K9Pb4xoW2zWX3BVuu3dfm1EKu1DFc+fjkr5Epwx1pHZ6Ld43befLGsrIfeCTVDcl8bovXBPVXb7Stwhe7IYdhtqekT/b3UCLvmjTV1u8NaCFDHQJwFAnBFr0RZu+2uKtAS1koEsAhjoh0KIv2vTVFm8NaCEDXQIw1AmBFn3Rpq+2eGtACxnoEoChTgi06Is2fbXFWwNayECXAAx1QqBFX7Tpqy3eGtBCBroEYKgTAi36ok1fbfHWgBYy0CUAQ50QaNEXbfpqi7cGtJCBLgEY6oRAi75o01dbvDWghQx0CcBQJwRa9EWbvtrirQEtZKBLYCpDxYEDBw4cOJ48RH8qmdaojPzZ7gZa9EWbvtrirQEtZKBLAIY6IdCiL9r01RZvDWghA10C0xvqlsUg5tgTsqRMxsj1NAPa9H13bb3LGFMqt3j/ddeftro/y7U2IvXJLLOMkJnJ7v05KzdAfz63obJktXKevTmTYI9cTzOgTV8x3rP5UMVyayc4QAf4Kdrq/iyX2ojQJ/O+OT03tJ19gMSTjw+QrH5qQ00S04qZ4J2qfKigDdr0la8tk3Rkh2vrbbkTiacHRFvdn+VKG0lY++TFuZjvlBmlty8yzpHb3ouNVkdIVj+1oSZ3NnmFevt1yY3PMnI9zYA2fWGoEW11f5Ymhsr65HguG5HuxuqjobIp31OG3ZmpDbU4Qp3YTInGrqcZ0KYvDDWire7PctlQD33ytq5qyNrwPvt67CuurfI+foQlvKkNVVxDZfP6RJ78hL46cj3NgDZ926+hEsFQ56JVGzn2yQs5YyntpuMI9e2y3s3Mbah03OW7OMPuciqV/MWMXE8zoE3f0zs4vRU3Gh13erKdma+8sxwbbXV/littROyTF0dmfS0ddcYdwaFPH+tbG9MbqkagRV+06ast3hrQQga6BGCoEwIt+qJNX23x1oAWMtAlAEOdEGjRF236aou3BrSQgS4BGOqEQIu+aNNXW7w1oIUMdAnAUCcEWvRFm77a4q0BLWSgSwCGOiHQoi/a9NUWbw1oIQNdAjDUCYEWfdGmr7Z4a0ALGegSgKFOCLToizZ9tcVbA1rIQJcADHVCoEVftOmrLd4a0EIGugRgqBMCLfqiTV9t8daAFjLQJTCVoeLAgQMHDhxPHqI/lUxrVEb+bHcDLfqiTV9t8daAFjLQJTC9ocaUP/FB+PkD80d7wPJVavW0eH8qvrRcRR+W4Df81xz0no1r+rIHw29P/WYPAn+98oeBP8/I1/3dQAsZ6BKY21B5jr0tOa2U0o1lhB8hp95V5HpaO/K3NwxCuaI+LPlv+CVLwzQvl/RlNyCx/fk948rZG547Gfm6vxtoIQNdAlMbap5/0fvlff48775+ZFWup7M5KCvlmD7evsg4t+cmJG/JWruOtL4rLdcnXNc34F1eNuZ5HImRr/u7gRYy0CUwuaEeO/XEZHNDPWSN/066Gao04k+S/Rrh9/NxXd8whZ7fzC3ODXkTMvJ1fzfQQga6BCY31OM6XnGEOomZEnUy1EyfuDYd1wOT6eBsbXUmWo1QD9Pnbsz2N/J1fzfQQga6BKY21MQwF0eutIaarP158mP2a6dpbqhVfXwy5YsR6ht9S+vRA68/j3zd3w20kIEugbkNle+oZJtF8l2+cWfqHLtT32qxrW96K2yiOZYr6xN3/8ablHl2S5e4pm9hxzQM9SuAFjLQJTC5oeoEWvRFm77a4q0BLWSgSwCGOiHQoi/a9NUWbw1oIQNdAjDUCYEWfdGmr7Z4a0ALGegSgKFOCLToizZ9tcVbA1rIQJcADHVCoEVftOmrLd4a0EIGugRgqBMCLfqiTV9t8daAFjLQJQBDnRBo0Rdt+mqLtwa0kIEuARjqhECLvmjTV1u8NaCFDHQJwFAnBFr0RZu+2uKtAS1koEsAhjoh0KIv2vTVFm8NaCEDXQIfGyoOHDhw4MCBQz4+MlQwPqinvmjTV1u8NaCFDHQJtDNUnl1ESty9wjNsLM4Uy4Gfg8bdF236aou3BrSQgS6BBobKsme8XvQyhsz6szF5wuSQ89G7WOb1etHLWrKvYzJw8DPkemLZUGLOMDEbz8fnxjukpF63BOSxfXx/Jh+iHvoKGWhELZ/hdLwffubFe6bJWa2epeu1lZVL9Rn7OmrfRk72OeJrz9FwhOrW3KILLevP3mUNaUs6vSzkWUowY+xwDeSbEeuJJfze88Bmswql9shnFXgO2eP7+f2mKHYG359fNqe1vmKOVFHLZzgf79nPvHaC3EDOavUwPes+/izoM/h11LqNSH3O2deepJGhxrsn6zw5G0amqaGGRnIctbzohdFpU95Nv+z1whr84so3NYtjMw1C53C4ceJJx2khb83wI49PaK1vdnJWjmv5DKfjja+c+MzHJPYfa/UAzeu+WC5PVj/2ddS6jUh9ztnXnuS6oS6OzMuS3zuChZw1ZKwnby35xZNf1sbiHbnVULmYiSjgMu9ufAwzu226pLaWHe8CQ/lYNn+/rTyrz6TDMI83+Ba01jeebg/TViNcG+fjDZz7zEfD+Eirh2hf96VytRuO8a6j1m1E6nPOvvYkTUaoizPrvP5CzqxDce9pWRwZPt+/REPFCLUf7+4Wt0bI74jrF+lWX4asPZZLzw3r5PLbPH8H2YL2+pJoplUtb+RsvOv/Tn7m1DA+0upBWtd9uVx+w8EY8Dpq30akPufsa8/R9Gszi3dhNLoU5w5hqDcg1pOwTpdMMVV2ZkcWcmatK2ndL/yHDG/VSblxp/I+obm+iWZsrSzX8iHOxrv+5+RnLhvqubb4DK3rvlwuM9TBr6M+bYQo6XM+fu1+2hjqttC8TftuQuZ3UgumfO/g7W7sfQ1GeM3b4xoN25kX61N6PxIuFlZuAHNoQWt9F7ZB75XN6AxrqGfrX2pPfGfmfjNdeL/BaH5tiee+0WeANpHTvI1Ifc7Z1x6kzddm2Fb/3DCTxehsy3R+jHpX+m3gO2F90aavtnhrQAsZ6BJoOuULxgD11Bdt+mqLtwa0kIEuARjqhKCe+qJNX23x1oAWMtAlAEOdENRTX7Tpqy3eGtBCBroEYKgTgnrqizZ9tcVbA1rIQJcADHVCUE990aavtnhrQAsZ6BKAoU4I6qkv2vTVFm8NaCEDXQIw1AlBPfVFm77a4q0BLWSgSwCGOiGop75o01dbvDWghQx0CcBQJwT11Bdt+mqLtwa0kIEugY8NFQcOHDhw4MAhHx8ZagmeRmfx7BGDJ57LWUsMe+pB0AM/TPsJavUErqNNX23x1oAWMtAl0NBQLcuHGk2UJ9zdTNY4lzwcP08+G9PBreetpuytIWvD31kWvz5A2pLbHi5uHTljyJjnM7c/SamevF1vct48RTo+rD3qeDyXPcB7hKdS38g9+vKMTFl7Zrkx7+BavFIcwmvZc755lhJRg4dorkUhbiLK6nns5AHP6SL1Q89pdd1Q18CN2bLJW7ImCsEzKGxZ3dLsGploeyaCZTdM7+36e5alZn1NPp5P4/MkxXpaG1xtRkDMcCKcy9MxVd9vQu7QN0njlha+PZHypXjFOITXtoxVtOZSzv7GKDTXQoo7/C+t51IqtEF4ShexH3pQq2Yj1ChYYYRKRN4Go8tHpPn/Q9aakITW2/XOY1nIc3G2VHE8Fdz+mm6kekoaVm2K3Fuy1iY3JtK5Scq9ARMe9+QOfYkW8tZQfpft7XGGpzeX4hXjkGNb3yy5ac61epr2WmykKS2r9TxgP/eULm/7oZu1amSocYhtfdlQQ6o3sw7XY9q3g8FaadQZDHsrG6eY02Tlmjr2Elca9+JMnDpZG6hsqHHN/O4R09PcoS+f1tp/v3cY/nsMVYpDem0vHjtISaunaa7F/ivJGIR69nbIJZandKn2Qw9o1cRQF2f3tc00Oe7xjmNxhg3XbWKSRHT6wglCL+SMIefsPod+GO0q5GqHz5P32sQ8+bnbjYwha8ebgurJPfoy1mvicKN5k+jXRh8McQTBXwuzUuLfuHnduEQfLdK4i/U8qJkSPalLoR96SKsma6ihU3izKYmVzefTqyZYMNh4Tvx7I64tPMGl9QzeEDftq+cu5MwY03F3cYu+yTpQvtP9+RHqJ/Ee4ijFlq+ZSlo9THMtsvOzE2I9J2VK6+vP8Zgu8Y/FfuhBrS4b6nEKtjBCZbt184vjaKie7H4hxTlwvmEjEXTbGDXAHewInN5x5624C24vl63dJeeyXXgjdHR3cou+fCkjETi+fld7vxavFEchNqEDlbR6kvZaUME40npON3KOtwnwKV2kfuhJrZptSno3QhVHoZsY0q7Hyu7dxTnyvIyJI1SspeI7Yb3Rpq+2eGtACxnoEmhmqGAcUE990aavtnhrQAsZ6BKAoU4I6qkv2vTVFm8NaCEDXQIw1AlBPfVFm77a4q0BLWSgSwCGOiGop75o01dbvDWghQx0CcBQJwT11Bdt+mqLtwa0kIEuARjqhKCe+qJNX23x1oAWMtAlAEOdENRTX7Tpqy3eGtBCBroEYKgTgnrqizZ9tcVbA1rIQJcADHVCUE990aavtnhrQAsZ6BL42FBx4MCBAwcOHMfjH//4B/3xxx/0+++/JwduNwAAAIAP+OOPP+i///3v4XUYKgA38uuvv9Jff/3V9fjll1+eDhOAqfn999+JiOh///sf/fnnn/Tnn3/Sv//9b/r/wS2/EvrbpdsAAAAASUVORK5CYII=)
根据门站现状实际运行状况,按门站进站压力约3.6MPa,温度约283K,计算不同长输管线不同天然气组分下的气体压缩系数,进而分析带来的计量偏差。不同组分下气体压缩系数的变化如表二所示。
表二 不同长输管线天然气物理特性对应压缩系数
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAd4AAABzCAYAAAA2a2NHAAAYq0lEQVR4nO2dva7ltNfGc12+IFfcA3qv4L8uYKBCFDRQrRppoECaDpBGGGhopphmpAEhQFpvYSexnWXvnLNjJ/v4+UnWzNk7H3s9dvL4K/EkAAAAAOjGdPYPAAAAAEYCxgsAAAB0BMYLAAAAdOTJxjtNExISEhISElIhNTFecH2QT20ZTd/R4q0BLXSgiwfGOzDIp7aMpu9o8dY4TAu2SwvJEAuZtcVked3MEUn0pziyQu6Yn3Akd+nygrSA8Q4M8qkto+k7Wrw1WmhRNxAWIpeY0zRNYixLvgvbSabJRMdy3sQsiwiLnSaZDIlbtp1kmmxiZs/lKF0eXQsY78Agn9oymr6jxVujjfGSesNnG4zAkZjCeKJNdgzGlB5kNSC2fnu2wYCOazUeZ7yPrQWMd2CQT20ZTd/R4q1xiBaJeRgxZhJr41bc3PIK5uGckM2NxigmoZuNtcFcgtmwjfZ1LHym8b4wLWC8A4N8asto+o4Wb43jtXBCloS43MnJTMm455Jsvk/BbNgJGSNEs9kc070cc4wuj68FjHdgkE9tGU3f0eKtcbgWjsSSE2HSuzkdCVUmGKWUzMb/a4xJW3lzazOMdd7DUT0Bj64FjHdgkE9tGU3f0eKtcbQWa4vLt/bim74j47tas8lE+8Y114lIfhs/oWgxnrDdlcZ4X4IWMN6BQT61ZTR9R4u3xnFa+Fm2iVk4EpPMrNUMqNzKY5sbUTp715FZzrduq42PPp37dHk5WsB4Bwb51JbR9B0t3hrHTa4q3eSj1piIOObdZnMm902uejlawHgHBvnUltH0HS3eGtBCB7p4YLw5m66L7GvnRITFWg6D+2H228XejLKHJjMvzfywug0TIPwEBX1GoYdtPu6yfCGWQk2XSYyxQvM8/mjMxZ83Gvcx5fyLZyc6MmIpnYhxJHfrm00eKY4tRdv5SSBzmWSx2SSQlvEfVp6WMTbtu52aSLyNKR6vlR4PfQ9sCHTxwHgjHBnftx8/M2a2g/eWWYg4jCUEE35Ajp95yWLNtBjt8uD5lH0m6+ebZEiIVs2ZSFw0bjPfaDnaJrkZOxIbzrWYv0TfRX/PXVDJM3oHcr++Tpj9q/EM0Tr2FLRbi938eIUVZlmfM2ROKyCN478nXudCfJtkxCROuEOTyssTkmu6oR6Peg9sDXTxwHhFogs1tKwmI8ZS8gB2fEFbZiFr/f/nh7iN3/6RPLhFi9c5Ecd2mXJP4ZVs1sbjLNuW2PqVN8vFeO2U6DtNU2gFz5McnBCF17tZFiYSdi7sm7Z8/diP05/vO+BRiZy79J1NM5jo0rJzJCYqZOv4FQtb31KcP8tbg63jvyfeJK+SVm0063SnJjmlMb6WejzcPbAT0MUD402YDcGJ49LFHHWnEvvWWbj4W3VZtqJVPuUzBbfdzJy2bixn+6w34bzFu362/CFE1u8z5wGTEGf5sbSw19ZMbExceRj/udynr69IrBNFQrnbGAKLnaxwMCWvzVqOaRahQ/zNjXenJv6RkrWXJWk9h2vX/l9bPR73HtgW6OKB8c5wuHmHi9lEL9k21vqb+DKzzt8M/IXqW3nFh7kvTEvjXboBJytEpji+G3aojMFprRErdqn8bB+kX/bJD7p0LfKmW9Pa4/PvCH2dS02H7STGkHDoXZhh5qWrP+5pMOmbBJrGf5/xlruGTfbD9mqy7b42YuN3/TXU4yHvgR2ALh4Yr8j6Auzl5djxChXR9PTwvbUmGEoYE2K+5JT1W7TIp6fcQKOdysartXiT96beGM9Tx/3WF6kThxZSgzGCu/V1JGSzlpkjP3adPFrBfmx3roAsvS+Rbh3iv8t4S2P2+ZuFdmuytnzVMthYj4e7B3YCunhgvDMb8xVZuvHSDcNkqmhSFVM2AeQxODyfou5Ma+3SrRf3HhRnL9eMd75JBt2JeO1C3e6w3nxv9kL4lo6/GaetpSO4b4zXStzlvlTs8iGN+PlGbcJadazy2PgPK0+lfNuryfJ9xXj1Ex+mx0PeAzsAXTww3pnk5j6P4xYeS5lvcH4mixhjKg93X5dm+ZQ97L68xq20fcl4Z52NFWvnNTHDceLluuJx5MR8ojzJTGl+TMna8KhJg6GCe/VdW4FRJU8xmaUHoGa8HeJvbryyXxP/cd4LFU/UaqvHQ94DOwBdPDBeEYknTG1u2DGx4WaLJKuvM7s4x+dTaQKQSHKjzLe/ubD0mj/xIfxYcnamHS1etv754HTm9PEVp/u7ml14TCbSRzGZZVLQJt7t6/NE2sXfw3j3auI/joy30uPSQo/Huwf2Abp4YLwDg3xqy2j6jhZvjUO0yJ4zTij1EuVj18ocCMvRtmbuSdIrGkctjjBzly7P0SOe2V97uY5zWQVVf+Sx52IRMN4XCvKpLaPpO1q8Ne7Wgu32MandLxlZDlJ+Xl6yx6eK680e25P3bF3u0WM25bwSYsxS8dg+C64sF+jPeogeMN6BQT61ZTR9R4u3xn1a6Ia571nnlXrrLB36iedObGd011/D+hSep8vz9VgePXNOmEisNeG5/0mMJeHsoI5ZOJmUZ8QSZ+e+Xw8Y78Agn9oymr6jxVujRZfq04yXhbIXiBgTt3D92/nWce3QLV1+oP6QVu+zdLlHj1CR8M96++e419fP0lrZMP7FM8zzvvO/Tn+C4k49YLwDg3xqy2j6jhZvjXuNV7/X731G3i+SkXc/x0ZjOTUUtjcePTvZeO/TIzwmZsLTFfmM9mVyPAkrL1NRn+mG8YLngnxqy2j6jhZvjbu7mpW7+t6XjCwrVJWM1/+1fH/zcb/lmE+PJOfZXc136DG/43sx1nCsZH9xwhy3dOst3nv1gPEODPKpLaPpO1q8NVpMrkq/1x+5WpdA3GO8tLweN+22TVe1Uh/beyZHTq5Kvy/rMXcj568Pzd/b7XW7bbxH6AHjHRjkU1tG03e0eGscokWy5nT+3a0XfGirLlm1xetPpRtvbS3j53CXLs/SQ6mAzKtSRZ+vE9HqXc1H6QHjHRjkU1tG03e0eGs012KP8d5q8UaTq/LXax7Vws1ppkvNePOXyITHisyme15kO1GtMLnqTmC8A4N8asto+o4Wbw1ooQNdPDDegUE+tWU0fUeLtwa00IEuHhjvwCCf2jKavqPFWwNa6EAXD4x3YJBPbRlN39HirQEtdKCLB8Y7MMintoym72jx1oAWOtDFA+MdGORTW0bTd7R4a0ALHejigfEODPKpLaPpO1q8NaCFDnTxwHgHBvnUltH0HS3eGtBCB7p4DjXeN2/eyJs3b4ovrkZCQkJCQkKa5M2bN8cY773c+iEAAADAFWjtVzBeAAAAIALGCwAAAHSkufH+8ccf0iN9+eWXXc6DhISEhIR0T2rtV2jxAgAAABHoagYAAAA6AuMFAAAAOnIZ48VzvEhISEhISLfT4c/xThPeTvIIIJ/aMpq+o8VbA1roQBfPHh0ONF4WO1lhEXFk0hqAIXFhGyL/P3FOyK7bGGPEcjiUIzHR/oZIbFKjMEIuP4YRchxt53/L8tvCwdmmNRNr7XreBSfMLvkd8TbOufWYTELOCZnwmy4CLoK2jKbvaPHWgBY60MXT33i3DrbBkRVyLJwZnv+8tA+JemRHQssXTshYdbvl2GzFZCdhTn5EMFojxsQVhvx4RiyzELGQJXG12LNKxA6JDqGUT0vFo/pDnJDJt1M+U2OLtlv004732FxL37jC2aYC2CVeNbbwDXP097nl6RJ5v0Oz3pxZRrbnaH9NlOhnvGyjVqRufun2LMwNjJe0rUIr25EYy/63GiPGkJDNWtpLOGtGOTJpgQ4XhGUWstb/39qlIJDNzJVpOVZi8o1R82nWQNIYt5utmszbaZ8J85Ivy40xztf5/47EhpPVzvtIXEpfYWldtPrEq8UWbrTZNXhmeTor7/drdg6nlRH1HO2viRLntHgjE7a01trilibzvJ0VIhO2q2eKWmNyJMScdUNn52MSa1fzZOaoi9qIJU5qiWwnMcRLrSpvIYcTR9+zEJE4J1lFIJfHRoVoEhNMe1dF5Rlo+RQXZK31v24XVXTC79Y+W4mHENabolaZYjq3Vn4U19LXCVvTtNXTJd5i2XGhZ2nLGeXprLx/mmb9OauM6Odof02U6Gu8s+FGpUa/KEJNhEnI+UJ16+JZMiCY9drI3dPiTVsLkyFxcW1a2SfJSEdisnOaMJ5M5ELmO2+8Ues2O2J6HkdiQmFodbHcdxGYpLVhyKmfrdvHPRKuUGnxFaTSOR+NS+mb3Iy2PThH0CfeUtnRjPe88nRW3j9Ns/6cVUbUc3S4Jkp0NF4nRHYd52Qrk2VhIuHIWHzLdWucu403J6kdBnPLM9eR2Ll1aWnZZmkdp/3Cy8W8jBmYMIY715rY+payNaHF7n8bM1d+Z2bIHWqp91wE6/iIj3Puztx+JpJXKlyW39tOir4XQSuuqm+r7sYe8ZZjK7d4zyhPZ+X90zTrz1ll5OY5OnfBdxzj9a1Xb7zRDGIiccmkp+wCCob0fOOltDsqFFK1i9NOYnk153KLd56d7eNwZJTCso1VmMSoLe74HKG1f5Lx7h1viXZQJqxln0XH9H9G8cwXQVTwz745HMV19X3c8qTGNm+T3DfOLU9n5b22XVmz/pxWRrRzdLgmSpwyxst2FW0x1MUgs5ZjYtAi4lyhVqsZbzS7rZDm2lAyK7DW4k26lVdT3Uywmn//vL8jMcao49Tpo1X+e9+aDubeaGbm7hmGc/d7+qO3j1EVHq3a3hyiMXdt1u3JMy+P4rL6NnKhPvFqscXXeXRtnlieTsv73Zqdw3llRDlHh2uixDmTq+b/FwvC1mziZ2u1GptaYymOp9aotHjjwhBMNRlriceJl9+fx+lvEldo0e3JfPB8RtN3tHhrQAsd6OLpbLzgSiCf2jKavqPFWwNa6EAXD4x3YJBPbRlN39HirQEtdKCLB8Y7MMintoym72jx1oAWOtDFA+MdGORTW0bTd7R4a0ALHejigfEODPKpLaPpO1q8NaCFDnTxwHgHBvnUltH0HS3eGtBCB7p4Zh2++eabYoLxvlCQT20ZTd/R4q0BLXSgi2fW4e+//y4mGO8LBfnUltH0HS3eGtBCB7p4YLwDg3xqy2j6jhZvDWihA108zYwXCQkJCQkJSU9NjBdcH+RTW0bTd7R4a0ALHejiuaDxxgt6z4vR+2RMvgZu9B1Rtth9WIwgOYZfI3fdLl7hIloxyaY1E2u1JaOcMLviy8udX3zXH5NJyDkhs2fljX7gImjLaPqOFm8NaKEDXTwdjTdbKchyanDRYgl+wQO/ilG68EZ56abisoBhPd/1N+TLSWXHVpbNYtZW/zBizFRc7cMvRcZCxGG5sniBiO1vjCsR2iobLZbyKl0E21U8NKL8zLZbFovwR1NXCllXZJorI+XjPSp99NW32+hbLGPHcXy8N1ZZilb62pYnfbtenJf3imYd8n4v3ctIdn/ec+304LwW762Fh5mFuYHxquvhhlb2vMQWW5mMEWNIyGYt7eXnZxd9nMGhoFtmIWv9/61dCgLZrPBHqyglJt94cWY1n3aujRmvcbpuFwqyubEuqrKGqH68x6aLvtG6zct22hqtzMv1kd58juPweNU1dcN61YVzrCjbdaRH3u/WrEPe76VLGVHLzU79OnFZ42We18S1QmTEEqlr2c4sNd78oI6EmLNu6KwVySTWrubJzFEXtRFLaWFlO4khXmpLemvURd+zEJE4N/+e25oka/Q2WkNTy6dk0fDKotlJRSfJy2xB8pi5gsF2rYhM8+LVpeM9Lr31Xde23uobbbUO5RxMm3jnz2gxILYmvS7UeJXtOtIj7/drtnzQLO/30qeMlD57on4NqRnvhw8f5OPHj2cYb6itMgk5X1iWm0qBRcRg1mtZ3dPizdbSNSROW483OV8+3pye04TxZCIXWurOG29xjWDlPCe0ePdfBGlNct2uYAxsl0qRI5MseG25drzHpZ++vmI5b6Ppux630DN0AG3ilaTsxC38eR81XmW7nvTI+92aLdu3y/u9dCkjxc+eoF9jasb7+vVr+e233/oar2/pbY1zt/FWz7Mucp+I7Ehs6BKeLC3bxOPR0QGXm9wyLmHCGG5UA58m41vRkxUKv42ZK79Tq61d13jXcRQfZ7VFll0AeaXF3yBLx3tcuumbHVvXN+xb7G65nybxajdUWb+rx5tu15M+ef8Uzdrm/V66lZGSBnv060DNeL/99lv59ddfe7d4M3GCIT3feLOuBppbXdvxYraTWF7NudziZbGTFQ4TphwZpbDMk6miSVVMYtTCH58jGpu68BhvtEM2YS3Lv2T8be7JsMUW2fZ4j0sXfQtjXKq+6ljocRweb6HsrPGuEyI38WrbdaRL3mvbaZptPj+PLmWkpMEe/TqRG+/Hjx/l9evX8u2338pnn30mX3/99UHGG7cgC2mePJG0HOcMmY3XuUJtXzPebCZ14ZzzeGpitKUWb9KtvJrqZoJVHLM/iRhj1HHqZDx3WicN6C3u49g9w3Dufk9/tPIYVaz3PHarxBafQ5l5eYH7wyH00HettadjmRt952P2Nl55frx62YnijWLZxqtv14sueb9bM7m28cqxZUTXYJ9+vciN96+//pLffvtNfv31V/n666/l+++/P+MFGuGi0S6swmQmtVZbHE+tUWnxxoUhGGP8W5Jx4uX3h1iWQuQLwAWugQPyCdQYTd/R4q0BLXSgi+e8rmawkut16+/DTot8aslo+o4Wbw1ooQNdPDXj/e677+T333+H8XZh1uzWv4eeEvnUktH0HS3eGtBCB7p4asaLdzX3pnPLF/nUltH0HS3eGtBCB7p4YLwDg3xqy2j6jhZvDWihA108MN6BQT61ZTR9R4u3BrTQgS4eGO/AIJ/aMpq+o8VbA1roQBcPjHdgkE9tGU3f0eKtAS10oIsHxjswyKe2jKbvaPHWgBY60MXTzHiRkJCQkJCQ9NTEeMH1QT61ZTR9R4u3BrTQgS6eaxuvttIIOAxcBG0ZTd/R4q0BLXSgi2fW4fPPPy+mY4w3eiH1NO17V/Gy8EFx3/VF6C9h/dbe1C6C5b3TFTYvNo9fRP7kz14effTVjneOvofHq173UWzZ+8+vVJ6a5r22EES0IMK6SMCelX760l2Xi5aRPRWQg1YnWhcsYN4TeLqcnrrvCetsviT0zA8FNF8ZZLPZdimveF3NZXmvqNei+tkLpIu+2vFO0vfoeIV5WXEsXoAkXoc1X/T+KuXpeC2UuJMl77b7XpEuumhLZV6sjPQz3plIFLaTmHkB+ilbD/HGwvDJ0k+3MgyolPOpvNj6soWyeHWyNKNSKdLWVL61zvIj00/f8vF66nt0vCsstDbnlhuouqb2RcrT4VqocTtha9J7IFuxdl5S9HrrWvfRJULxkSuUkc7Gmy0q70hMKDCpaFomKAvSo8V7F8cbg0m6A9ebp+/6yW+m289eFv301Y7XX99Wxpuutb12GV65PB2vhRJ3YjpmXVs8WtP2avfHLrrIuk3arXydMtLXePPaR6m24khyj73VAgZP5/iLYB5bMWKt2eRNsk/ls5dCP33Lx+upbxvjTSvc8X3iyuXp+EpXPe75Xph8d8HJqd102Zhu4Tgn0dF44wsojE0UjJdt3kWi7Os3PF3AR+aei0Adb4n3NyEPtfEW7bMXSBd9teOdpG+TeLMxy6SCPhv0BcvT0VrcjtsuY54vtcW7W5ekzAS/uFgZ6Wa8yZhsmG3nZ6hZ4bkm7+/K63hOZV9hu352tooPSnWiQzxGxFYdR6/NQtVmntdnHb48+uirHO8kfQ+PV0SZLPQY5el4LW7EHWm07HsRLWJ66KL6xcXKSP/JVTdQB8hBE/BMXVtG03e0eGtACx3o4rmc8RYO+LS/wS5wEbRlNH1Hi7cGtNCBLp7HMF5/0H3/gt3gImjLaPqOFm8NaKEDXTyPY7z+wE/7G1TBRdCW0fQdLd4a0EIHungey3jBoSCf2jKavqPFWwNa6EAXD4x3YJBPbRlN39HirQEtdKCLB8Y7MMintoym72jx1oAWOtDFA+MdGORTW0bTd7R4a0ALHejigfEODPKpLaPpO1q8NaCFDnTxwHgHBvnUltH0HS3eGtBCB7p4/ve//8kvv/wib9++LaZnGS8SEhISEhLSNr19+1b+/fffuo8+29YBAIfy1Vdfyd9//900ff7552eHCcCL5u3btyIi8t9//8n79+/l/fv38vHjx2QbGC8AFwHGC8DjMxvv+/fv5ZNPPpFXr17JTz/9lGwD4wXgIjzVeP/880/5888/YbwAXIjYeF+9eiWffvqpvHv3LtkGxgvARXiq8b5580Z+/vlnGC8AF2I23o8fP8pPP/0k7969ky+++EI+fPiwbAPjBeAiPNV4f/jhB/nxxx9hvABciNl4Yz58+CD//PPP8vf/A2NAsRIA0TU4AAAAAElFTkSuQmCC)
北方冬季采暖季为用气高峰期,一天24h瞬时流量变化较大,为满足供应需求,需在门站之间、同一门站不同上游气源之间经常相互调配、平衡。由表二可以看出,引入中石油冀宁联络线、中石化中济青线气源的门站进站计量偏差在1.37%,按6亿m3/年气量考虑,中石油、中石化用气占比各50%考虑,仅因气源调配,门站进站贸易计量差约411万m3/年,约1100多万元。
为满足气量的需求及供气稳定可靠,各燃气公司积极引入各类气源至门站,如泰青威线、中俄东线、济青二线、LNG采购等等。同时随上游长输管线建设,全面实现陆气、海气、海外气等互联互通,造成同一长输管线气量在不同时间、不同地点组分也发生很大的变化。
以西气东输一线为例,对西一线从新疆、甘肃、山东、安徽、江苏到上海等18个站点、分输站气质进行取样和分析测试,发现甲烷含量变化范围86.98%—99.81%,有12.83%的幅度变化;相对密度范围在0.55—0.76之间。[3]
4、结论
天然气供气格局已由单一的气田气供应变为多气源联网整体调度供应,多气源供应可显著改善供气的可靠稳定性,但由此也带来了流量计计量误差等一系列问题。为减少天然气门站贸易计量偏差,降低供销差,减少企业经济损失的目的,在今后运行管理上有以下建议:
(1)在门站加色谱分析仪,对进站组分进行实时监控,流量计能及时调整计量计算数据,减少因贸易计量误差带来的经济损失。
(2)加强各门站运行人员气源调配能力,提前做好供气管网气源调配应对方案。面对不同气量需求变化,尤其是北方采暖季大流量气量变化下,避免出现频繁调配。
(3)不同气质的天然气进入输配管网中,也可能对下游用户用气设备造成损害。对燃气气质有较严格要求的燃气轮机、发电设备等,燃气公司在供气时要了解设备对气质参数的要求,给出合理的供气方案,尽量避免供应组分差异较大的气源。如M70F三菱9F机型对燃气气质要求较高,只允许甲烷组分变化2mol%[5]。
参考文献:
[1] 闵伟,李万俊,丘逢春.天然气组分变化对流量计量的影响[C]全国流量测量学术交流会.2006.
[2]汪春胜.天然气组分变化对超声波流量计的影响[J].化工管理,2014(14):7-7.
[3]周理,罗勤等.西气东输一线天然气互换性研究.[C]第三届中国LNG论坛论文集,2012-8-25.
[4] 陆锡恩.燃气轮机对天然气的气质要求及调压站的配置.[J]上海电力,2006(01):25-27.
[5] 周理,郭凯华等.中国天然气分类及互换性标准探讨.[J]石油工程技术监督,2014,30(7):18-23.