# Mathematical Model of the Inverse Problem of Deformation of Oil Tank Bottom

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*by*Du Junjun, Associate Researcher; Mathematical Modeling Association of Wuhan University of Technology, Wuhan 430063., dujunjun08@whut.edu.cn,

Tang He, Associate Researcher; Mathematical Modeling Association of Wuhan University of Technology, Wuhan 430063., tanghe08@whut.edu.cn,

Chen Xing, Associate Researcher; Mathematical Modeling Association of Wuhan University of Technology, Wuhan 430063., chenxing08@whut.edu.cn,

Zhang Shesheng, Associate Researcher; Mathematical Modeling Association of Wuhan University of Technology, Wuhan 430063., zss@whut.edu.cn,

**Document Type:**Proceeding Paper

**Part of:**ICTIS 2011: Multimodal Approach to Sustained Transportation System Development: Information, Technology, Implementation

**Abstract:**Nowadays, to predict the deformation of the bottom of oil tank has been an urgent problem of oil storage and processing enterprises in transportation engineering. Using body-fitted coordinate system, the inverse problem mathematical model of the deformation of the bottom of oil tank is established, and the two-dimensional oil reserve integral expressions are derived. Between oil reserves, vertical angle, heeling angle and the oil level height, the relative function is derived. Our prediction value of oil reserves is compared with the actual measured one, and the accuracy is higher than 95%.

**Subject Headings:**Deformation (mechanics) | Storage tanks | Mathematical models | Mathematics | Two-dimensional models | Energy storage | Transportation engineering | Integrals |

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