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Porosity 計算機｜線上即時試算、公式解析與操作指南

What Is Porosity?

Porosity (symbol \phi) measures the fraction of a material's volume that is empty space — the pores or voids between solid grains. It is a dimensionless quantity, usually expressed as a decimal between 0 and 1 or as a percentage. Porosity is fundamental in geology, soil science, ceramics, materials engineering, and petroleum reservoir analysis because it controls how much fluid a material can hold.

How to Use This Calculator

Enter the void volume (the total volume of pores) and the total volume (the bulk volume of the sample) using any consistent unit such as cm³, mL, or m³. The calculator divides the two values to return the porosity as both a fraction and a percentage, and also reports the solid volume that fills the rest of the sample.

The Formula Explained

The volume-based definition is

\phi = ((V_{void}) ÷ (V_{total}))

The same value can be obtained from densities:

\phi = 1 - ((\rho_{bulk}) ÷ (\rho_{particle}))

where bulk density includes the empty space and particle density is the density of just the solid grains. Both expressions describe the same physical fraction of empty space.

Worked Example

Suppose a rock core has a total volume of 100 cm³ and the connected pore space measures 30 cm³. Then

\phi = ((30) ÷ (100)) = 0.30,

or 30% porosity. The remaining 70 cm³ is solid material. This sample could store fluid equal to 30% of its bulk volume.

使用注意事項與精準校對原則（6 大核心守則）

📐 1. 嚴格對齊輸入量綱與單位

輸入各項數值時請務必確認量綱（例如小時、天數、金額、百分比），避免單位不匹配引發推算偏差。

🔒 2. 純前端本機毫秒級隱私保障

所有計算邏輯 100% 在您的終端瀏覽器內完成，資料絕不上傳伺服器，嚴格守護商業與個人隱私。

📊 3. 符合公認學術與產業計算模型

演算法嚴格遵循國際通用數學公式與標準計算模型，經多重情境交叉核對，數值嚴密精確。

📋 4. 一鍵複製與免登入 PDF 匯出

支援一鍵複製推算結果字串至剪貼簿，亦可直接點擊列印按鈕輸出純淨 PDF 工作報表。

🔄 5. 多情景敏感度動態對比

建議針對極端值與多組預期情景分別試算，觀察輸出數據的波動區間，輔助做出更穩健的決策。

🛡️ 6. 專業諮詢與日常參考免責聲明

本工具運算結果供日常排程、學業研習與事前參考之用，如涉及重大法規或投資決策請諮詢持證專家。

常見問題 (FAQ)

What is a typical porosity value?

Sandstone reservoirs are often 10–30%, loose sand can exceed 40%, and dense crystalline rock may be under 1%.

Can porosity be over 100%?

No. Void volume cannot exceed total volume, so porosity ranges from 0 to 1 (0–100%).

Does this measure connected porosity?

The volume-based formula gives total porosity. If you supply only the connected (effective) void volume, you get effective porosity instead.

🛠️ Porosity 計算機