This book offers a thorough and self-contained exposition of the mathematics of time-domain
boundary integral equations associated to the wave equation, including applications to …

Time-dependent problems that are modeled by initial-boundary value problems for
parabolic or hyperbolic partial differential equations can be treated with the boundary …

Conventional drilling design assumes that the porous rock is fully saturated with a single
fluid and therefore tends to inaccurately predict the mud weight needed for borehole stability …

Elastic wave-based oil mobilization of residual oil in heterogeneous reservoirs is a viable,
low-cost, and green technology method of enhanced oil recovery (EOR). Applications for …

The application of elastic waves induced through seismic excitation (stimulation) to increase
the oil recovery from a hydrocarbon reservoir as an enhanced oil recovery (EOR) technique …

This paper presents a boundary meshless method, singular boundary method (SBM), in
conjunction with the exponential window method (EWM) to simulate the dynamic response …

This work describes a thermo-poroelasticity model for a porous medium filled by two
immiscible fluids in the framework of the Biot theory of poroelasticity. Local thermal …

Mechanical loads together with changing temperature conditions can be found in a wide
variety of fields. Their effects on elastic media are reflected in the theory of thermoelasticity …

Conventional drilling design inaccurately predicts the mud density required for borehole
stability by assuming the porous rock is fully saturated with a single fluid while in reality it …

In these notes I try to show the way through the relatively difficult theory of retarded layer
potentials and integral operators for the acoustic wave equation in two and three …