Study for Relationship between Compressional Wave Velocity and Porosity based on Error Norm Method

Hyung-Koo Yoon

doi:10.7843/kgs.2024.40.4.127

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2024 Vol.40, Issue 4 Preview Page Next Page

Study for Relationship between Compressional Wave Velocity and Porosity based on Error Norm Method 중요도 분석 기법을 활용한 압축파 속도와 간극률 관계 연구

31 August 2024. pp. 127-135

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Abstract

The purpose of this paper is to establish the relationship between compression wave velocity and porosity in unsaturated soil using a deep neural network (DNN) algorithm. Input parameters were examined using the error norm method to assess their impact on porosity. Compression wave velocity was conclusively found to have the most significant influence on porosity estimation. These parameters were derived through both field and laboratory experiments using a total of 266 numerical data points. The application of the DNN was evaluated by calculating the mean squared error loss for each iteration, which converged to nearly zero in the initial stages. The predicted porosity was analyzed by splitting the data into training and validation sets. Compared with actual data, the coefficients of determination were exceptionally high at 0.97 and 0.98, respectively. This study introduces a methodology for predicting dependent variables through error norm analysis by disregarding fewer sensitive factors and focusing on those with greater influence.

Keywords

Compressional wave velocity

Deep neural network

Error norm

Porosity

Prediction

해당 논문의 목적은 deep neural network(DNN) 알고리즘을 이용하여 불포화토 지반의 압축파 속도와 간극률 간의 관계를 도출하는 것이다. 입력 인자는 error norm 방법으로 각각의 값이 간극률에 미치는 영향을 조사하였으며, 결론적으로 압축파 속도가 간극률 산정에 제일 큰 영향을 주는 것으로 나타났다. 압축파 속도와 간극률은 현장 및 실내 실험을 통해 도출하였으며, 총 266개의 수치 데이터를 이용하였다. DNN 적용 결과는 매 횟수마다 계산된 MSE 손실로 표현하였으며, 초반의 계산 횟수 단계에서 거의 0에 수렴하는 결과를 도출하였다. 예측된 간극률은 train과 validation으로 구분하여 분석하였으며, 실제 데이터와 비교하였을 경우 결정계수는 각각 0.97과 0.98로 나타나 높은 신뢰성을 보여준다. 해당 연구에서는 error norm 분석을 통해 민감도가 작은 인자는 배제하고 영향성이 높은 인자를 통해 종속 변수를 예측하는 방법론을 제시하였다.

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Information

Publisher :The Korean Geotechnical Society
Publisher(Ko) :한국지반공학회
Journal Title :Journal of the Korean Geotechnical Society
Journal Title(Ko) :한국지반공학회 논문집
Volume : 40
No :4
Pages :127-135
Received Date : 2024-08-01
Revised Date : 2024-08-06
Accepted Date : 2024-08-13
DOI :https://doi.org/10.7843/kgs.2024.40.4.127

Journal of the Korean Geotechnical Society ISSN:1229-2427(Print) 2288-646X(Online) 한국지반공학회 논문집

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