Random checkerboard based homogenization for estimating effective thermal conductivity of fully satu

来源 :Journal of Rock Mechanics and Geotechnical Engineering | 被引量 : 0次 | 上传用户:cyc528528
下载到本地 , 更方便阅读
声明 : 本文档内容版权归属内容提供方 , 如果您对本文有版权争议 , 可与客服联系进行内容授权或下架
论文部分内容阅读
This paper proposes homogenization scheme for estimating the effective thermal conductivity of fully saturated soils. This approach is based on the random checkerboard-like microstructure. Two modeling scales and two modeling approaches are distinguished and used, i.e. microscale and mesoscale and 1-step and 2-step homogenizations, respectively. The 2-step homogenization involves sequential averaging procedure, i.e. first, at microscale, a mineralogical composition of soil skeleton is considered and averaging process results in estimation of the skeleton effective thermal conductivity, and then, at mesoscale, a random spatial packing of solid skeleton and pores via random checkerboard microstructure is modeled and leads to evaluation of the soil overall thermal conductivity. The 1-step homogenization starts directly at the mesoscale and homogenization procedure yields evaluation of the overall soil thermal conductivity. At the mesoscale, the distinct nature of soil skeleton, as composed of soil separates,is considered and random variability of soil is modeled via enriched random checkerboard-like structure.Both approaches, i.e. 1-step and 2-step homogenizations, interrelate mineralogical composition with the soil texture characterized by the volume fractions of soil separates, i.e. sand, silt and clay. The probability density functions(PDFs) of thermal conductivity are assumed for each of the separates. The soil texture PDF of thermal conductivity is derived taking into consideration the aforementioned functions. Whenever the random checkerboard-like structure is used in averaging process, the Monte Carlo procedure is applied for estimation of homogenized thermal conductivity. Finally, the proposed methodology is tested against the laboratory data from our measurements as well as those available from literature. This paper proposes a homogenization scheme for estimating the effective thermal conductivity of fully saturated soils. This approach is based on the random checkerboard-like microstructure. Two modeling scales and two modeling approaches are distinguished and used, ie, microscale and mesoscale and 1-step and 2 -step homogenizations, respectively. The 2-step homogenization involves sequential sequential averaging procedure, ie first, at microscale, a mineralogical composition of soil skeleton is considered and averaging process results in estimation of the skeleton effective thermal conductivity, and then, at mesoscale, a random spatial packing of solid skeleton and pores via random checkerboard microstructure is modeled and leads to evaluation of the soil overall thermal conductivity. The 1-step homogenization starts directly at the mesoscale and homogenization procedure yields evaluation of the overall soil thermal conductivity. At the mesoscale , the distinct nature of soil skeleton, as compose d of soil separates, is considered and random variability of soil is modeled via enriched random checkerboard-like structure.Both approaches, ie 1-step and 2-step homogenizations, interrelate mineralogical composition with the soil texture characterized by the volume fractions of soil separates , ie sand, silt and clay. The probability density functions (PDFs) of thermal conductivity are assumed for each of the separates. The soil texture PDF of thermal conductivity is derived taking into consideration the functions. Whenever the random checkerboard-like structure is used in averaging process, the Monte Carlo procedure is applied for estimation of homogenized thermal conductivity. Finally, the proposed methodology is tested against the laboratory data from our measurements as well as those available from literature.
其他文献
在我们周围,时常听到有人“好心”地劝说那些坚持原则、办事认真、不徇私情的人:“水至清则无鱼,人至察则无徒。”这句“名言”出自汉代东方朔的《答客难》,其基本意思是,水
随着中国西安人才市场信息网络的不断健全与完善,1999年度通过此网络进行求职招聘的企业和个人出现骤增形势,人们越来越认识到信息网络传递的广泛性、快速性,包括一些非IT行
有一滴泪,仅仅是瞬间的感动,却沉重的足以使心灵破碎。有一种痛,伤口是灿烂的笑容,蓦然回首,却拥有一种冷冷的秋风。一瞬间,呆立无语,我坚信,总会有一种感动,会让我泪流满面,
徐向艺同志撰写、山东大学出版社最近出版的《企业制度变迁与管理创新》一书(以下简称《创新》),是一部既有一定理论又有应用价值的著作。通观全书,体现以下特点:1.体系框架设计新
消防训练模式改革,必须遵循“练为战”的训练指导思想,要以属地经济社会的发展状况为基础,依据灭火对象的发展变化,提出科学、合理的应对措施,要建立社会动态预警机制,加大对
【模拟题目】阅读下面的文字,根据要求作文。人活着,最要紧的是寻觅到那片代表着生命绿色和人类希望的丛林,然后选一高高的枝头站在那里观览人生,消化痛苦,孕育歌声,愉悦世界
礼仪规范是一个初入社会的人应该具备的基本常识和基本能力。作为在日资企业工作、或准备进入日资企业工作的人员,对于待人接物的最基本作法,不可不了解。下面仅对其中的,*项做
在我的印象中,外婆家后门的大院子里,有着各种各样好看的花花草草,小时候最喜欢呆的地方就是那片园地。外婆是个不折不扣的植物钟爱者,也许是遗传的缘故吧,我那可爱的老妈在
党的十一届三中全会以后,全国的住宅建设发展很快,新建的住宅造型也日趋向多样化发展,不论是从住宅的外体及内部结构,在设计上注重了美观、大方、适用、各异。因此,多数新建
美国肯纳金属公司简介美国肯纳金属公司(KennametalInc.)是世界最著名的硬质合金生产制造公司,也是美国最大的刀具生产制造商。六十年前,肯纳金属公司发明了钨钛碳化物合金,并成功地将这一新发明