半无限空间表面热负荷产生的变形和重力场变化
Deformation and gravity changes induced by surface heat sources in a thermoelastic half-space
摘要
Abstract
High-precision theoretical modelling of gravity field variations induced by multiple known mecha-nisms is a prerequisite for studying dynamic processes of the Earth's surface and interior through gravimetry.Tem-perature fields on the Earth and other celestial bodies,driven by factors such as solar radiation and magmatic erup-tions,often exhibit periodic or step-like fluctuations.These thermal perturbations not only generate deformation fields but also disturb the gravity field.In this study,we employ a thermoelastic half-space model and solve the governing partial differential equations analytically to derive explicit expressions for the deformation and gravity changes induced by surface point and disk-shaped heat sources under periodic and step-like temperature fluctu-ations.The results demonstrate that gravity variations at the surface caused by thermoelastic effects are manifested solely as the free-air gradient effect due to the movement of gravimetric instruments with surface deformation,while the contributions from internal strain and Bouguer-layer surface displacement cancel each other at the first or-der.Finally,two representative examples are presented to illustrate the magnitude of thermoelastic deformation and its gravitational effects:(1)for periodic temperature fluctuations on the lunar surface,the resulting surface uplift is estimated to be at the sub-millimeter level,with gravity changes smaller than the microgal level;(2)for a sudden temperature disturbance in the permanent Lava Lake of Mount Nyiragongo,assuming a magma lake with a radius of 400 m and a temperature increase of 40 K,the predicted stable thermoelastic vertical displacement at the center is about 10 cm and the associated gravity change is about 30 μGal.关键词
半无限空间/热弹性变形/重力变化Key words
half-space/thermoelastic deformation/gravity variations分类
天文与地球科学引用本文复制引用
唐河,饶维龙,孙文科,陈晓东,周江存,孙和平..半无限空间表面热负荷产生的变形和重力场变化[J].地球与行星物理论评（中英文）,2026,57(6):676-683,8.基金项目
2025年湖北省青年科技人才培养专项(2025DJA087) （2025DJA087）
湖北省博士后先锋人才跟踪支持项目(2025HBB-SHXF089) （2025HBB-SHXF089）
国家自然科学基金资助项目(42574014,42304028,42104002) （42574014,42304028,42104002）
北京市科协2024-2026年青年人才托举工程(BYESS2024032) （BYESS2024032）
中央高校基本科研业务费专项(E2ET0411X2) （E2ET0411X2）
华中科技大学精密重力测量研究设施(PGMF-2024-Z003) （PGMF-2024-Z003）
湖北省中央引导地方科技发展资金专项(2025CFC006) Supported by the Hubei Province 2025 Youth Science and Technology Talent Cultivation Program(Grant No.2025DJA087),the Hubei Province Postdoctoral Pioneer Talent Tracking Support Program(Grant No.2025HBBSHXF089),the National Natural Sci-ence Foundation of China(Grant Nos.42574014,42304028,42104002),the Youth Talent Support Program(2024-2026)of the Bei-jing Association for Science and Technology(Grant No.BYESS2024032),Fundamental Research Funds for the Central Universi-ties(Grant No.E2ET0411X2) （2025CFC006）
the Precision Gravity Measurement Research Facility of Huazhong University of Science and Tech-nology(PGMF-2024-Z003),and the Hubei Province Central Government-Guided Local Science and Technology Development Pro-gram(Grant No.2025CFC006) （PGMF-2024-Z003）
