  In this work we connect the theory of Dirichlet forms and direct stochastic
calculus to obtain strong existence and pathwise uniqueness for Brownian motion
that is perturbed by a series of constant multiples of local times at a
sequence of points that has exactly one accumulation point in $\mathbb{R}$. The
considered process is identified as special distorted Brownian motion $X$ in
dimension one and is studied thoroughly. Besides strong uniqueness, we present
necessary and sufficient conditions for non-explosion, recurrence and positive
recurrence as well as for $X$ to be semimartingale and possible applications to
advection-diffusion in layered media.
