# Parallel Modeling of the Acoustic Signal Propagation in a Cased Well

## TL;DR

This paper presents a parallel numerical method for simulating acoustic wave propagation in cased wells, focusing on wave interactions with cement boundaries and employing MPI for scalable computation across multiple spatial scales.

## Contribution

It introduces a parallel computational approach using spatial decomposition and MPI to efficiently simulate acoustic signals in wells with varying scales and boundary conditions.

## Key findings

- Demonstrates the scalability of the software with test calculations.
- Analyzes wave reflection intensity based on cement hardening.
- Provides insights into wave-boundary interactions in well environments.

## Abstract

A numerical method is proposed for carrying out a full-scale simulation of the process of propagation of an acoustic signal in a cased well. The main goal is to study the interaction of the wave field with the vertical boundary of the cement filling the annular and near-pipe space. Particular attention is paid to the analysis of the intensity of the wave reflected from this boundary, depending on the degree of hardening of the upper edge of the cement. A distinctive feature of the problem is the presence in it of several significantly different spatial scales. So, the length of the well can vary from several hundred meters to several kilometers, the diameter of the well is a few tens of centimeters, and the thickness of the casing string, as a rule, does not exceed a few first centimeters. It is this diversity of scale that requires the organization of parallel computing, the organization of which is based on the spatial decomposition of the region and the involvement of Message Passing Interface (MPI). The results of test calculations are presented and an analysis of the strong and weak scalability of the developed software is carried out.