| 黄俊革,阮百尧,鲍光淑.有限单元法三维电阻率最小二乘反演中存在问题的研究[J].地质与勘探,2004,(4):70-75 |
| 有限单元法三维电阻率最小二乘反演中存在问题的研究 |
| RESEARCH ON 3-D RESISTIVITY LEAST-SQUARE INVERSION USING THE FINITE ELEMENT METHOD |
| 修订日期：2003-03-24 |
| DOI： |
| 中文关键词: 有限单元法 三维 电阻率 最小二乘 反演 |
| 英文关键词: the finite element method,3-D,resistivity,least-square,inversion |
| 基金项目:国家自然科学基金，广西自然科学基金，教育部高校骨干教师资助计划，广西培养新世纪学术和技术带头人专项基金 |
| 黄俊革 阮百尧 鲍光淑 |
| [1]桂林工学院资源与环境工程系，桂林541004 [2]中南大学信息物理学院，长沙410083 |
| 摘要点击次数: 1995 |
| 全文下载次数: 2077 |
| 中文摘要: |
| 针对有限单元法在三维电阻率最小二乘反演中关于深部单元的反演能力、反演稳定性和速度问题进行了讨论与改进.首先构造了全新的"体积因子"作为先验信息加入到电阻率反演中,使地质体赋存区域的电阻率变化更符合实际情况,提高了深度较大的地质体的分辨能力.反演计算中对实测电阻率数据和模型正演数据分别取对数,并改进迭代修正量的计算方法,将以前的加减修正量改为与修正量指数之积,这样,不但可以改进电阻率模型出现负值的缺陷,提高反演计算的稳定性,而且还可减少迭代次数;针对反演时间过长的缺陷,将三维全域反演改为三维局域反演,使每次迭代的时间由4 h减少到目前的15 min;对模型的反演计算表明,以上改进是非常有效的. |
| 英文摘要: |
| The problems on inversional capability of deeper units,stability and speed in 3-D resistivity least-square inversion based on FEM are discussed and improved in the paper. The addition of prior information made with volume gene in the least square can resolve effectively ill-posed problem in 3-D inversion. Aiming at the restriction of inversion based on FEM,getting the logarithm of actual resistivity and theoretic resistivity can improve the stability of inversion. Using exponential form to correct value of the model can fetch up the defect which get minus resistivity and reduce the time of calculation from 2.5 hours to 15 minutes. The result of part inversion is better than that of full inversion. The inversional result of model and practice in field show that the work presented in the paper is effective. |
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