基于自适应损失均衡梯度增强的物理信息神经网络微地震定位

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关键词： 微地震，物理信息神经网络，相对到时，程函方程，自适应损失均衡梯度增强中图分类号：P631 文献标识码：A DOI：10. 13810/j. cnki. issn. 1000-7210. 20240291

Adaptive⁃loss⁃weighting gradient⁃enhanced physics⁃informed neural network for microseismic localization

PAN Deng1，2，TANG Jie1，2，FAN Zhonghao1，2，CHAN Jiayi1，2，PENG Jingyan 1，2 School of Geosciences，China University of Petroleum（East China），Qingdao，Shandong 266580，China；2. Laboratory for Ma⁃rine Mineral Resources，Qingdao National Laboratory for Marine Science and Technology，Qingdao，Shandong 266071，China）

Abstract：Microseismic localization is a major challenge in microseismic monitoring tasks and is helpful for analy ⁃ zing the effect of hydraulic fracturing. Physics ⁃ informed neural network（PINN）can achieve microseismic loca ⁃ lization. However，the trade ⁃ off among multiple loss terms plays a crucial role in the training stage of PINN. Thus，this paper proposes a novel microseismic localization method based on an adaptive⁃loss⁃weighting gradient⁃ enhanced PINN. First，a combined loss function is constructed by integrating the residuals of relative arrival time and the eikonal equation. Second，an adaptive term is introduced to automatically update the loss weights，and gradient information is also incorporated to enhance the performance of the network. Finally，network training is performed to obtain the traveltime distribution across the computational domain，and the hypocenter location is predicted by identifying the minimum traveltime. Test results demonstrate that this method can enhance the trai ⁃ ning stability and prediction accuracy of the network and achieve a reliable microseismic localization effect.

eywords：microseismic，physics⁃informed neural network，relative arrival time，eikonal equation，adaptive⁃loss⁃ weighting gradient⁃enhanced

潘登，唐杰，范忠豪，等 . 基于自适应损失均衡梯度增强的物理信息神经网络微地震定位［J］. 石油地球物理勘探，2025，60（3）：618‑630.PAN Deng，TANG Jie，FAN Zhonghao，et al. Adaptive ⁃ loss ⁃ weighting gradient ⁃ enhanced physics ⁃ informedneural network for microseismic localization［J］. Oil Geophysical Prospecting，2025，60（3）：618‑630.

0 引言

随着国家能源需求的日益增加，非常规油气资源的勘探与开发越来越受到重视[1]。（剩余16553字）