深圳大学学报（理工版）2025，Vol.42Issue(4)：396-402,7.DOI:10.3724/SP.J.1249.2025.04396
基于Levenberg-Marquardt算法的静态地层温度反演方法
Static formation temperature estimation method based on the Levenberg-Marquardt algorithm
摘要
Abstract
Static formation temperature(SFT)is a crucial parameter for assessing the thermal state of geothermal and hydrocarbon reservoirs,playing a vital role in reservoir characterization and development planning.Traditional SFT estimation methods typically rely on long-term field measurements or physical simulations,which are often time-consuming,costly,and sensitive to data incompleteness or external disturbances.To enhance the efficiency and accuracy of SFT estimation,this study proposes a nonlinear fitting method based on the Levenberg-Marquardt(LM)optimization algorithm.The approach integrates the Horner-LIU method(HLM)model to establish the predictive relationship and utilizes the LM algorithm for iterative optimization of the model parameters.Six sets of bottom hole temperature(BHT)data from geothermal and petroleum wells were used for validation.Results indicate that the proposed method achieves high prediction accuracy using only a few early BHT data points(e.g.,the first 3 to 5 measurements).All datasets yielded prediction errors below 3.5%,with coefficients of determination(R2)exceeding 0.987,demonstrating excellent fitting performance and model stability.Furthermore,the Theil inequality coefficient(TIC)is employed to assess prediction accuracy under limited data conditions,achieving all TIC values remaining below 3%,confirming the robustness and practical reliability for applications of the proposed approach.关键词
地热工程/Horner-LIU method模型/井底温度/静态地层温度/关井时间/Levenberg-Marquardt算法Key words
geothermal engineering/Horner-LIU method model/bottom hole temperature/static formation tempera-ture/shut-in time/Levenberg-Marquardt algorithm分类
能源科技引用本文复制引用
黄亚,万扶桑,王中鹏,王磐,朱昱昊..基于Levenberg-Marquardt算法的静态地层温度反演方法[J].深圳大学学报（理工版）,2025,42(4):396-402,7.基金项目
Shaanxi Provincial Science and Technology Department's Competitive Project(YJGCS23SFW0012) 陕西省科技厅揭榜挂帅资助项目(YJGCS23SFW0012) （YJGCS23SFW0012）
