An implicit level set method for modeling hydraulically driven fractures

Mathematics

• Level Set Method 100%
• Implicit Method 81%
• Level Set 49%
• Modeling 47%
• Hydraulics 45%
• Lubrication 31%
• Length Scale 30%
• Velocity Field 25%
• Free Boundary 24%
• Nonlocal Elasticity 19%
• Stiff Equations 18%
• Evolution Strategies 17%
• Eikonal Equation 16%
• First-order 16%
• Numerical Modeling 15%
• Efficient Solution 13%
• Free Boundary Problem 12%
• Analytic Solution 12%
• Resolve 12%
• Boundary Value 11%
• Evolution Equation 11%
• Inversion 10%
• Integral Equations 9%
• Discretization 9%
• Costs 8%
• Asymptotic Behavior 8%
• Distinct 8%
• Necessary 8%
• Unknown 7%
• Form 5%

Physics & Astronomy

• free boundaries 43%
• hydraulics 38%
• lubrication 26%
• velocity distribution 19%
• eikonal equation 18%
• integral equations 10%
• inversions 9%
• elastic properties 9%
• costs 9%
• matrices 6%

Engineering & Materials Science

• Set theory 31%
• Hydraulics 28%
• Lubrication 22%
• Integral equations 13%
• Elasticity 11%
• Numerical models 9%
• Costs 4%