r7.01.11 Behavior models THHM

Summary:

This note presents a THM family of behavior laws for saturated and unsaturated environments. It describes the relationships that make it possible to calculate hydraulic and thermal quantities, taking into account strong couplings between these phenomena and also with mechanical deformations. The relationships presented here can be coupled with any law of mechanical behavior, provided that the hypothesis called effective Bishop’s constraints are made and that the law of mechanical behavior defines elastic constants (useful for coupled terms). The purely mechanical part of the laws is not presented.

• 1. Introduction
• 2. Problem Overview: Assumptions, Notations
  • 2.1. Description of the porous medium
  • 2.2. Ratings
• 3. Constitutive equations
  • 3.1. Conservation equations
  • 3.2. Behavioral equations
  • 3.3. The reference state and the initial state
  • 3.4. Nodal unknowns, initial values, and reference values
  • 3.5. Effective constraints and total constraints. Stress limit conditionsThe partition of stresses into total and effective stresses is written as:
  • 3.6. Some numerical values
• 4. Calculation of generalized stresses
  • 4.1. Case without dissolved air
  • 4.2. Case with dissolved air
• 5. Calculation of derivatives of generalized stresses
  • 5.1. Derivatives of constraints
  • 5.2. Derivatives of mass inputs
  • 5.3. Derivatives of enthalpies and heat Q”
  • 5.4. Derivatives of enthalpies and heat Q”
  • 5.5. Heat flow derivatives
  • 5.6. Derived from water flows
• 6. Bibliography
• 7. Description of document versions