發(fā)布時(shí)間：2019-05-18 14:34

【摘要】：油和水在盆地中的運(yùn)移和聚集過(guò)程,是盆地模擬中最困難也是最關(guān)鍵的部分,我們又稱之為二次運(yùn)移,它的數(shù)學(xué)模型是一組非線性偏微分方程初邊值問(wèn)題,目前的數(shù)值方法均采用正交網(wǎng)格進(jìn)行剖分.但是正交網(wǎng)格的局限性決定了其不能很好的逼近模擬復(fù)雜地形,如斷層、尖滅區(qū)或者是不規(guī)則邊界等.角點(diǎn)網(wǎng)格作為一種更加靈活、復(fù)雜的網(wǎng)格技術(shù),目前已經(jīng)在地質(zhì)建模軟件中廣泛使用,這也對(duì)運(yùn)移聚集的數(shù)值模擬提出了新的要求.針對(duì)這一要求,本文引入角點(diǎn)網(wǎng)格技術(shù),設(shè)計(jì)算法計(jì)算角點(diǎn)網(wǎng)格的各項(xiàng)物理性質(zhì)參數(shù)和傳導(dǎo)率.構(gòu)造以角點(diǎn)網(wǎng)格為基礎(chǔ)的有限體積數(shù)值計(jì)算格式,建立新的三維運(yùn)移聚集數(shù)學(xué)模型進(jìn)行模擬和分析.我們將達(dá)西定律和狀態(tài)方程代入連續(xù)性方程后,得到數(shù)學(xué)模型,即流動(dòng)方程(0.1(a))—(0.1(b))：然后將流動(dòng)方程差分離散化得到有限體積格式(0.2(a))—(0.2(b))：這個(gè)模型是一個(gè)非線性、大區(qū)域、動(dòng)邊界以及需要超長(zhǎng)時(shí)間模擬的三維數(shù)學(xué)問(wèn)題,我們采用交替方向隱式迭代格式,在每個(gè)方向上將差分方程歸結(jié)為二階塊三角方程組(0.3(a))—(0.3(b)),然后通過(guò)一系列計(jì)算形成系數(shù)矩陣,最后求解方程組得到結(jié)果.基于交替方向隱式迭代格式,開(kāi)發(fā)完整的FORTRAN程序,并針對(duì)多種概念模型和實(shí)際礦場(chǎng)數(shù)據(jù)進(jìn)行測(cè)試,模擬結(jié)果很好地符合油水的運(yùn)移聚集規(guī)律,表明我們的模型是正確有效的.本文主要分為三部分：一、建立角點(diǎn)網(wǎng)格三維模型并計(jì)算其各項(xiàng)參數(shù).二、建立三維運(yùn)移聚集數(shù)學(xué)模型并構(gòu)造有限體積數(shù)值計(jì)算格式.三、開(kāi)發(fā)程序進(jìn)行數(shù)值模擬并分析結(jié)果.
[Abstract]:The migration and accumulation of oil and water in the basin is the most difficult and critical part of basin simulation. We also call it secondary migration. Its mathematical model is a set of nonlinear partial differential equation initial boundary value problems. At present, orthogonal grid is used to divide the current numerical methods. However, the limitation of orthogonal grid determines that it can not approach and simulate complex terrain well, such as fault, apocalypse area or irregular boundary and so on. Corner grid, as a more flexible and complex grid technology, has been widely used in geological modeling software, which also puts forward new requirements for numerical simulation of migration and accumulation. In order to meet this requirement, this paper introduces corner grid technology, and designs an algorithm to calculate the physical property parameters and conductivity of corner grid. A finite volume numerical calculation scheme based on corner grid is constructed, and a new three-dimensional migration and accumulation mathematical model is established for simulation and analysis. After we replace Darcy's law and equation of state with the continuity equation, we get the mathematical model. That is, the flow equation is 0.1 (a)-(0.1 (b):) and then the flow equation difference is separated and dispersed to obtain the finite volume scheme (0.2 (a)-(0.2 (b):) is a nonlinear, large region. Moving boundary and three-dimensional mathematical problems that need to be simulated for too long time, we use alternating direction implicit iterative scheme to reduce the difference equation to second-order block triangular equations (0.3 (a)-(0.3 (b),) in each direction. Then the coefficient matrix is formed by a series of calculations, and the results are obtained by solving the equations. Based on the alternating direction implicit iterative scheme, a complete FORTRAN program is developed, and a variety of conceptual models and actual field data are tested. The simulation results are in good agreement with the law of oil and water migration and accumulation, which shows that our model is correct and effective. This paper is divided into three parts: first, the three-dimensional model of corner grid is established and its parameters are calculated. Secondly, the mathematical model of three-dimensional migration and accumulation is established and the finite volume numerical calculation scheme is constructed. Third, develop the program to carry on the numerical simulation and analyze the result.
【學(xué)位授予單位】：山東大學(xué)
【學(xué)位級(jí)別】：碩士
【學(xué)位授予年份】：2015
【分類號(hào)】：P618.13;P628.3

【共引文獻(xiàn)】

相關(guān)期刊論文 前10條

1 李多麗,關(guān)平;中國(guó)油氣二次運(yùn)移的研究現(xiàn)狀及展望[J];北京大學(xué)學(xué)報(bào)(自然科學(xué)版);2004年04期

2 楊圣彬;郭慶銀;侯貴廷;孫曄;;鄂爾多斯盆地西緣北段沉降史與沉積響應(yīng)[J];北京大學(xué)學(xué)報(bào)(自然科學(xué)版);2006年02期

3 劉志宏,遲元林,王孔偉,王文革,林東成;塔里木盆地西部斷層的活動(dòng)性與封閉性[J];吉林大學(xué)學(xué)報(bào)(地球科學(xué)版);2004年01期

4 侯偉;劉招君;何玉平;和鐘鏵;張雷;;漠河盆地上侏羅統(tǒng)沉積特征與構(gòu)造背景[J];吉林大學(xué)學(xué)報(bào)(地球科學(xué)版);2010年02期

5 李洪普;高陽(yáng);張壽庭;毛曉龍;;青海唐古拉山北藏麻西孔巖漿活動(dòng)與銅銀多金屬礦的關(guān)系[J];成都理工大學(xué)學(xué)報(bào)(自然科學(xué)版);2009年02期

6 陳恭洋;張遂;;應(yīng)用新理論和新技術(shù)實(shí)現(xiàn)江陵凹陷的勘探突破[J];長(zhǎng)江大學(xué)學(xué)報(bào)(自然科學(xué)版)理工卷;2009年02期

7 史基安,鄧津輝,曾凡剛,王琪;石油二次運(yùn)移物理模擬及運(yùn)移特征分析[J];沉積學(xué)報(bào);2002年02期

8 付兆輝;張?jiān)谡?李德純;施明華;程明;;渤海灣盆地埕北凹陷古近系沉積體系分析與油氣成藏[J];沉積學(xué)報(bào);2009年01期

9 李運(yùn)振;鄧運(yùn)華;徐強(qiáng);于興河;;中國(guó)近海新生代盆地沉積環(huán)境演變分析[J];沉積學(xué)報(bào);2010年06期

10 馬鋒;楊柳明;顧家裕;陳曦;趙U，

本文編號(hào)：2480089