Matlab编程天然气压缩因子计算模型Word文档下载推荐.docx

1、0.7xCH41.0N2：0xN20.20CO2：0xCO20.20C2H6：0xC2H60.10C3H8：0x C3H80.035C4H10：0x C4H100.015C5H12：0x C5H120.005C6H14：0x C6H140.001C7H16：0x C7H160.0005C8H18和更高碳数烃类：C8H18：0x C8H180.0005H2：0x H20.10CO：0x CO0.03如果已知体积分数组成，则应将其换算成摩尔分数组成。所有摩尔分数大于0.00005的组分都不可忽略。2.3 模型描述2.3.1 已知条件绝对压力P、热力学温度T、组分数N；各组分的摩尔分数，i = 1N

2、 ；查附表1、2、3得到的以下数据：58种物质的状态方程参数， ；14种识别组分的特征参数14种识别组分的二元交互作用参数 。2.3.2 待求量压缩因子 Z2.3.3 计算步骤a） 第二维利系数B的计算：二元参数Eij和Gij，由以下两式计算：b） 计算系数，n = 1358用以下方程求解混合方程，计算混合物参数U，G，Q。c） 计算混合物体积参数K；d） 计算对比密度摩尔密度为：式中，P为绝对压力，Mpa；R为摩尔气体常数；T为热力学温度，K。对比密度r同摩尔密度m相关：e） 利用AGA8-92DC方程，对压缩因子进行迭代计算迭代过程：给出Z0的初始值为1，先计算出m，将m、K和已知量带入A

3、GA8-92DC方程方程，得到新的Z值，当（Z-Z0）的绝对值小于0.000001时，停止迭代，得到Z值。3 程序代码function Z = YSYZ（ T,p,x）%计算天然气给定组分的压缩因子% x为天然气组分，按照CO2 N2 H2 CO CH4 C2H6 C3H8 i-C4H10 n-C4H10 i-C5H12 n-C5H12% n-C6H14 n-C7H16 n-C8H18的顺序输入%T 为温度，单位为K%P为压力，单位为兆帕N=14;R=8.314;%状态参数值b=1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,

4、3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,5,5,5,5,5,6,6,7,7,8,8,8,9,9;k=0,0,0,0,0,0,0,0,0,0,0,0,3,2,2,2,4,4,0,0,2,2,2,4,4,4,4,0,1,1,2,2,3,3,4,4,4,0,0,2,2,2,4,4,0,2,2,4,4,0,2,0,2,1,2,2,2,2;c=0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,0,0,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,0,0,1,1,1,1,1,0,1,1,1,1,0,1,0,1,1,1,1,1,1;g=0,0,

5、0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0;f=0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0;q=0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,

6、0,0,1,0,0,0,0,1,0,0,0,0,1,0,1,0,0,1,0,0,0,0,0,1;s=0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0;w=0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0;a=0.153832600,1.

7、341953000,-2.998583000,-0.048312280,0.375796500,-1.589575000,. -0.053588470,0.886594630,-0.710237040,-1.471722000,1.321850350,-0.786659250,. 2.291290e-9,0.157672400,-0.436386400,-0.044081590,-0.003433888,0.032059050,. 0.024873550,0.073322790,-0.001600573,0.642470600,-0.416260100,-0.066899570,. 0.279

8、179500,-0.696605100,-0.002860589,-0.008098836,3.150547000,0.007224479,. -0.705752900,0.534979200,-0.079314910,-1.418465000,-5.99905e-17,0.105840200,. 0.034317290,-0.007022847,0.024955870,0.042968180,0.746545300,-0.291961300,. 7.294616000,-9.936757000,-0.005399808,-0.243256700,0.049870160,0.033733797

9、,. 1.874951000,0.002168144,-0.658716400,0.000205518,0.009776195,-0.020487080,. 0.015573220,0.006862415,-0.001226752,0.002850908;u=0.0,0.5,1.0,3.5,-0.5,4.5,0.5,7.5,9.5,6.0,12.0,12.5,-6.0,2.0,3.0,2.0,2.0,11.0,-0.5,. 0.5,0.0,4.0,6.0,21.0,23.0,22.0,-1.0,-0.5,7.0,-1.0,6.0,4.0,1.0,9.0,-13.0,21.0,8.0,. -0.

10、5,0.0,2.0,7.0,9.0,22.0,23.0,1.0,9.0,3.0,8.0,23.0,1.5,5.0,-0.5,4.0,7.0,3.0,0.0,1.0,0.0;%特征参数值M=44.0100,28.0135,2.0159,28.0100,16.0430,30.0700,44.0970,58.1230,58.1230,72.1500,72.1500,86.1770,100.2024,114.2310;E=241.960600,99.737780,26.957940,105.534800,151.318300,244.166700,298.118300,324.068900,337.6

11、38900,365.599900,370.682300,402.636293,427.722630,450.325022;G=0.189065,0.027815,0.034369,0.038953,0.0,0.079300,0.141239,0.256692,0.281835,0.332267,0.366911,0.289731,0.337542,0.383381;Q=0.690,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0;K=0.4557489,0.4479153,0.3514916,0.4533894,0.4619255,0.52

12、79209,0.5837490,0.6406937,0.6341423,0.6738577,0.6798307,0.7175118,0.7525189,0.7849550;F=zeros（N）;S=zeros（N）;W=zeros（N）;F（3）=1;%交互作用参数值Ex=1.0,1.022740,1.281790,1.5,0.960644,0.925053,0.960237,0.906849,0.897362,0.726255,0.859764,0.855134,0.831229,0.808310;. 1.022740,1.0,1.086320,1.005710,0.971640,0.970

13、120,0.945939,0.946914,0.973384,0.959340,0.945520,1.0,1.0,1.0; 1.281790,1.086320,1.0,1.1,1.170520,1.164460,1.034787,1.3,1.3,1.0,1.0,1.0,1.0,1.0; 1.5,1.005710,1.1,1.0,0.990126,1.0,1.0,1.0,1.0049,1.0,1.0,1.0,1.0,1.0; 0.960644,0.971640,1.170520,0.990126,1.0,1.0,0.994635,1.019530,0.989844,1.00235,0.99926

14、8,1.107274,0.88080,0.880973; 0.925053,0.970120,1.164460,1.0,1.0,1.0,1.022560,1.0,1.013060,1.0,1.005320,1.0,1.0,1.0; 0.960237,0.945939,1.034787,1.0,0.994635,1.022560,1.0,1.0,1.0049,1.0,1.0,1.0,1.0,1.0; 0.906849,0.946914,1.3,1.0,1.019530,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0; 0.897362,0.973384,1.3,1.0,0

15、.989844,1.01306,1.0049,1.0,1.0,1.0,1.0,1.0,1.0,1.0; 0.726255,0.959340,1.0,1.0,1.00235,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0; 0.859764,0.945520,1.0,1.0,0.999268,1.00532,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0; 0.855134,1.0,1.0,1.0,1.107274,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0; 0.831229,1.0,1.0,1.0,0.88088,1.0,1

16、.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0; 0.808310,1.0,1.0,1.0,0.880973,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0;Gx=1.0,0.982746,1.0,1.0,0.807653,0.370296,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0; 0.982746,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0; 1.0,1.0,1.0,1.0,1.95731,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0; 1.0,

17、1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0; 0.807653,1.0,1.95731,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0; 0.370296,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0; 1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0;Ux=1.0,0.835058,1.0,0.9,0.963827,0.969870,1.0,1.0,1.0,1.0,1.0,1

18、.066638,1.077634,1.088178; 0.835058,1.0,0.408838,1.0,0.886106,0.816431,0.915502,1.0,0.993556,1.0,1.0,1.0,1.0,1.0; 1.0,0.408838,1.0,1.0,1.156390,1.616660,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0; 0.9,1.0,1.0,1.0,1.156390,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0; 0.963827,0.886106,1.156390,1.0,1.0,1.0,0.990877,1.0,

19、0.992291,1.0,1.00367,1.302576,1.191904,1.205769; 0.969870,0.816431,1.616660,1.0,1.0,1.0,1.065173,1.25,1.25,1.25,1.25,1.0,1.0,1.0; 1.0,0.915502,1.0,1.0,0.990877,1.065173,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0; 1.0,1.0,1.0,1.0,1.0,1.25,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0; 1.0,0.993556,1.0,1.0,0.992291,1.25,1.0,1

20、.0,1.0,1.0,1.0,1.0,1.0,1.0; 1.0,1.0,1.0,1.0,1.00367,1.25,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0; 1.066638,1.0,1.0,1.0,1.302576,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0; 1.077634,1.0,1.0,1.0,1.191904,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0; 1.088178,1.0,1.0,1.0,1.205769,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0;Kx=1.0,0.9

21、82361,1.0,1.0,0.995933,1.00851,1.0,1.0,1.0,1.0,1.0,0.910183,0.895362,0.881152; 0.982361,1.0,1.03227,1.0,1.00363,1.00796,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0; 1.0,1.03227,1.0,1.0,1.02326,1.02034,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0; 0.995933,1.00363,1.02326,1.0,1.0,1.0,1.007619,1.0,0.997596,1.0,1.002529,0.9829

22、62,0.983565,0.982707; 1.00851,1.00796,1.02034,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0; 1.0,1.0,1.0,1.0,1.007619,0.986893,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0; 1.0,1.0,1.0,1.0,0.997596,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0; 1.0,1.0,1.0,1.0,1.002529,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0; 0.910183,1.0,1.0,1

23、.0,0.982962,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0; 0.895362,1.0,1.0,1.0,0.983565,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0; 0.881152,1.0,1.0,1.0,0.982707,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0;Z0=1;M0=0;B=0;%参数Eij、Gij以及第二维利系数的计算sum1=0;sum2=0; for n=1:18 sum=0; ZJCS=（T-u（n）; for i=1:14 for j=1: Eij（i,j）=Ex（i,j）

24、*（E（i）*E（j）0.5）; Gij（i,j）=Gx（i,j）*（G（i）+G（j）/2; Bij（i,j）=（Gij（i,j）+1-g（n）g（n）*（Q（i）*Q（j）+1-q（n）q（n）*（F（i）*F（j）0.5）+1-f（n）f（n）*（S（i）*S（j）+1-s（n）s（n）*（W（i）*W（j）+1-w（n）w（n）; sum=sum+x（i）*x（j）*Bij（i,j）*（K（i）*K（j）1.5）; end B=B+a（n）*ZJCS*sum;%K值的计算 F0=0; G0=0; Q0=0; U0=0;for i=1:N F0=F0+（x（i）2）*F（i）; Q0=Q

25、0+x（i）*Q（i）; sum1=sum1+x（i）*G（i）; sum2=sum2+x（i）*（E（i）2.5）;end（N-1） for j=2: G0=G0+x（i）*x（j）*（Gx（i,j）-1）*（G（i）+G（j）; U0=U0+（Ux（i,j）5）-1）*（E（i）*E（j）2.5）;G0=sum1+2*G0;U0=（sum22）+2*U0）0.2; sum1=sum1+x（i）*（K（i）2.5）; sum2=sum2+x（i）*x（j）*（Kx（i,j）5）-1）*（K（i）*K（j）2.5）;K0=（sum12）+2*sum2）0.2）;%对比密度的计算pr=p*（K0

26、3）/（Z0*R*T）; SUM1=0;SUM2=0;%计算Cn的值，共有46个值for n=13: Cn=a（n）*（G0+1-g（n）g（n）*（Q02）+Q0-q（n）q（n）*（F0+1-f（n）f（n）*（U0u（n）*（T-u（n）; SUM1=SUM1+Cn;for i=13:58 Cn=a（i）*（G0+1-g（i）g（i）*（Q0*Q0+Q0-q（i）q（i）*（F0+1-f（i）f（i）*（U0u（i）*（T-u（i）; SUM2=SUM2+Cn*（b（i）-c（i）*k（i）*（prk（i）*（prb（i）*exp（-c（i）*（prk（i）;% Z的计算Z=1+B*（pr/（K03）-pr*SUM1+SUM2;%迭代过程while abs（Z-Z0）=0.000001 Z0=（Z+Z0）/2; pr=p*（K03）/（Z0*R*T）; SUM2=0; for n=13: Z=1+B*（pr/（K03）