随机分形裂缝模型的研究

【作者】 聂笃宪；

【导师】 曾文曲；

【作者基本信息】 广东工业大学 ， 计算机软件与理论， 2005， 硕士

【摘要】 随着我国经济的飞速发展,对各种能源的需求与日俱增,能源短缺问题日日突出,尤其是对石油的需求更是紧迫,如何解决我国石油能源紧缺问题是许多科学工作者正在潜心研究的重要课题。 目前,裂缝性油气藏的勘探开发是提高油气开发产量的有效途径,据科学研究表明,世界各国的许多高产油气藏都是裂缝性油气藏,因此,进行裂缝性油气藏的勘探开发意义十分重大;裂缝既是油气的主要储集空间,又是油气的重要渗流通道,它的发育程度和分布规律基本上控制了油气富集程度和产能高低,但是,裂缝形成与发育受到多种因素的控制和影响,这样使得对裂缝的准确认识存在很大困难,至今,储层裂缝的精细描述和预测依然是石油地质界的未能完全解决的世界性难题。 本课题来源于中国科学院地球物理研究所(北京)知识创新重大课题—石油裂缝建模。本文研究的目的是利用随机分形理论,对现有的裂缝研究进行丰富,同时为裂缝研究者提供裂缝模拟方法和更进一步拓展分形技术的应用。本文主要工作是结合所学的计算机专业知识,应用OpenGL技术和VC++6.0开发平台,根据形成单一裂缝的两个表面在一定尺度范围具有自仿射分形特性,把模拟随机分形布朗过程的方法应用于模拟裂缝表面的相关性情况,为单一裂缝表面的模拟提供了新方法;同时,结合随机分形理论的特点,把随机分形理论应用到单一裂缝模型参数的定量表征中,讨论了单一裂缝模型中两个裂缝表面的相关性问题,孔隙度的相关性问题和非单一裂缝的分形维数定量描述;并且研究了随机分形布朗运动的实现方法,包括霍斯金斯方法,戴维斯与哈特方法,频谱合成法,随机中点位移法。更多还原

【Abstract】 With the rapid development of our country economy, lots of energy is demanded increasingly. Lack of demand has become a serious problem day by day, especially lack of petroleum.It is an important task into which many a scientists put their hearts how to solve the problem of lack of energy.At present,exploitation and recognition of petroleum reservoir in fracture is an effective approach to improve the output of petroleum and gas . Scientific research shows that petroleum reservoir with plentiful output all over the country in the world is petroleum reservoir in fracture.Therefore,it is significant to exploit petroleum reservoir in fracture.Fractures are not only main spaces of petroleum reservoir ,but also are important petroleum percolating channels.Growth and distribution of fractures basically affect outputs of petroleum .However, Growth ,forming and distribution of fractures are controlled and affected by many factors,which makes people have difficulties in exactly cognizing them. Yet,precise description and prediction of reservoir fractures is still an unsolved difficult problem of petroleum geology in the world.This subject derives from petroleum fracture modeling , the important project of knowledge innovation of institute of Physical Geography,Chinese Academy of Sciences(Beijing).The purpose in this paper is enriching the existing theory of fracture research by taking advantage of random fractal theory , providing researcher going in for fracture research with methods of fracture simulation,and further extending application of fractal technic .The task in this paper is that by combining professional knowledge of computer ,by making use of techno-OpenGL and VC++6.0 developing platform,in terms of two surfaces with character of self-affine in some scale size comprising single fracture,we apply the methods of simulating random fractal Brownian to simulate two surfaces with correlation in更多还原