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Related Concept Videos

Properties of Limits in Multivariable Calculus01:27

Properties of Limits in Multivariable Calculus

In multivariable calculus, the laws of limits provide systematic rules for evaluating limits of functions involving several variables. These laws allow complex expressions to be broken into simpler components whose limits are known. Suppose that\begin{equation*}\lim_{(x,y)\to(a,b)} f(x,y) = L\end{equation*}and\begin{equation*}\lim_{(x,y)\to(a,b)} g(x,y) = M\end{equation*}where both limits exist, the principal laws are stated as follows.Sum LawThe limit of a sum equals the sum of the...
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Thermal expansion and Thermal stress: Problem Solving01:27

Thermal expansion and Thermal stress: Problem Solving

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Linear Approximations

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Fa&#231;ade-Level Monitoring of CO2 Variability under Urban Heat Island Conditions using Low-Cost Sensor Data Loggers
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Probabilistic Characterization of City Scale Subsurface Thermal Environment Heterogeneity.

Bo Zhang1,2,3, David Zhen Yin2, Kai Gu1

  • 1School of Earth Sciences and Engineering, Nanjing University, Nanjing 210023, China.

Environmental Science & Technology
|June 17, 2026
PubMed
Summary
This summary is machine-generated.

Accurate subsurface thermal environment (STE) mapping is vital for geothermal energy. Our new framework integrates geostatistics, physics, and Bayesian inference to reveal STE distribution and uncertainty, aiding sustainable urban heat management.

Keywords:
Bayesian inferencecity scalegeostatisticsprobabilistic modelingsubsurface thermal environment

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Published on: January 26, 2014

Area of Science:

  • Earth Science
  • Geophysics
  • Environmental Science

Background:

  • Subsurface thermal environment (STE) characterization is essential for geothermal energy and urban heat management.
  • City-scale STE is complex due to subsurface heterogeneity, challenging conventional deterministic models.
  • Existing methods struggle to accurately represent STE's spatial distribution and heterogeneity.

Purpose of the Study:

  • To develop an integrated modeling framework for reconstructing STE under steady-state conditions.
  • To quantify the uncertainty associated with STE characterization.
  • To assess the shallow geothermal potential for urban energy applications.

Main Methods:

  • Synergistic integration of geostatistics, physics-based modeling, and Bayesian inference.
  • Application of the framework to Changzhou city in the Yangtze River Delta.
  • Sensitivity analysis to identify dominant sources of modeling uncertainty.

Main Results:

  • Probabilistic reconstruction of STE factors including lithology, temperature, heat flow, and thermal conductivity.
  • Identification of the upper temperature boundary as the primary source of uncertainty.
  • Estimation of Changzhou's shallow geothermal potential at approximately 2.7 × 10^4 GWh.

Conclusions:

  • The developed framework provides a scalable and uncertainty-aware approach for STE assessment.
  • The findings highlight significant shallow geothermal potential in Changzhou, sufficient for winter heating.
  • This methodology offers a pathway for global subsurface thermal resource management and sustainable energy planning.