Revision of Mathematical Model of Foamed Cement Slurry Density under Down-Hole Conditions
-
摘要: 为准确描述泡沫水泥浆密度与井深的关系,研究了泡沫水泥浆密度在不同温度和不同压力条件下的变化规律。以真实气体状态方程为基础,综合考虑温度、压力对泡沫水泥浆密度的影响,建立了泡沫水泥浆密度随压力和温度变化的计算模型。通过室内模拟试验对建立的计算模型进行了验证和修正,得到了可以定量计算井下任意井深处泡沫水泥浆真实密度的计算模型,对该修正模型进行隐函数积分,便可得到井下任意井深处的泡沫水泥浆真实密度和静液柱压力。修正后的模型综合考虑了温度和压力以及水泥浆泡沫体积分数对密度的影响,可为平衡压力固井设计奠定良好的基础。Abstract: In order to describe the relationship between the depth and the density of foamed cement slurry,the behavior of foamed cement slurry density at different temperature and pressure was investigated.Based on the equation of state of real gas,considering the effect of temperature and pressure on foamed cement slurry density,a mathematical model of foamed cement slurry density at different temperature and pressure was set up.By laboratory the mathematical model was verified and corrected,and a mathematical model which could quantitatively calculate the foamed cement slurry density at any depth was worked out.By the implicit function integral on the revised model,foam cement slurry density at any depth of the well and hydrostatic pressure could be calculated.The revised model,considering the effects of temperature and pressure as well as the bubble volume in cement slurry on density,lays solid foundation for cementing design with balanced pressure.
-
Keywords:
- foam cement slurry /
- cement slurry density /
- pressure /
- temperature /
- mathematical model
-
-
[1] 刘崇建,黄柏宗,徐同台,等.油气井注水泥理论与应用[M].北京:石油工业出版社,2001:126-147. Liu Chongjian,Huang Baizong,Xu Tongtai,et al.Theory and application of oil and gas cementing[M].Beijing:Petroleum Industry Press,2001:126-147. [2] Root R L,Barrett N D,Spangle L B.Foamed cement-a new technique to solve old problems[R].SPE 10879,1982.
[3] 朱礼平,刘绘新,杨胜军,等.泡沫水泥压力计算分析研究[J].石油钻探技术,2007,35(3):40-42. Zhu Liping,Liu Huixin,Yang Shengjun,et al.Study of pressure calculation in cementing with foamed cement[J].Petroleum Drilling Techniques,2007,35(3):40-42. [4] 朱礼平,杨雄,刁素,等.泡沫水泥固井施工参数优化设计[J].石油钻探技术,2009,37(2):45-47. Zhu Liping,Yang Xiong,Diao Su,et al.Optimization of cementing with foamed cement slurry[J].Petroleum Drilling Techniques,2009,37(2):45-47. [5] 屈建省,宋有胜,杜慧春.新型泡沫水泥的研究与应用[J].钻井液与完井液,2000,17(4):11-14. Qu Jiansheng,Song Yousheng,Du Huichun.Study and application of a novel foam cement[J].Drilling Fluid Completion Fluid,2000,17(4):11-14. [6] Martins A L,Campos W.A model to design the foam cement job[J].SPE Advanced Technology Series,1994,2(1):43-48.
[7] Gareia Jr H,Maidla E E,Onan D L.Annular pressure predictions throughout foam cement operations[R].SPE 25439,1993.
[8] 卞先孟,王铭,唐威,等.欠平衡钻井泡沫水泥浆静液柱压力分析[J].钻采工艺,2006,29(2):28-29,36. Bian Xianmeng,Wang Ming,Tang Wei,et al.Hydrostatic fluid column pressure analysis for foam slurry in underbalanced drilling[J].Drilling Production Technology,2006,29(2): 28-29,36. [9] 朱礼平.液氮泡沫水泥固井工艺及施工技术研究[D].成都:西南石油大学石油工程学院,2007. Zhu Liping.Research cementing process and construction technology of liquid nitrogen foam cement[D].Chendu:Southwest Petroleum University,School of Petroleum Engineering,2007. [10] 秦积舜,孟红霞.泡沫钻井液密度-压力-温度关系测定[J].石油钻探技术,2001,29(3):42-44. Qin Jishun,Meng Hongxia.Measuring density-pressure-temperature of foam drilling fluid[J].Petroleum Drilling Techniques,2001,29(3):42-44. [11] 张云连,陈永明,杲传良,等.泡沫钻井液的静液柱压力分析与计算[J].石油钻探技术,2000,28(3):19-20. Zhang Yunliang,Chen Yongming,Gao Chuanliang,et al.Analysis and calculation of hydrostatic pressure for foam drilling fluids[J].Petroleum Drilling Techniques,2000,28(3):19-20. [12] 邱正松,张锐,徐加放,等.泡沫钻井液高温高压密度特性模拟实验研究[J].石油钻探技术,2002,30(1):4-6. Qiu Zhengsong,Zhang Rui,Xu Jiafang,et al.Studies on HTHP density characteristics simulating test of foam drilling fluids[J].Petroleum Drilling Techniques,2002,30(1):4-6. [13] 李公让.泡沫钻井流体温度敏感性研究[J].石油钻探技术,2011,39(4):34-39. Li Gongrang.Study of foam drilling fluid temperature sensitivity[J].Petroleum Drilling Techniques,2011,39(4):34-39. [14] 杨继盛.采气工艺基础[M].北京:石油工业出版社,1995:23-25. Yang Jisheng.Basis technology of gas production[M].Beijing:Petroleum Industry Press,1995:23-25.
计量
- 文章访问数: 3708
- HTML全文浏览量: 90
- PDF下载量: 3947