
Connect Fractional Flow Equation Toolset to your AI
Set it up once and it works in ChatGPT, Claude, Cursor, and any other client you love. It all runs safely in the background, so you can relax and focus on what really matters. Model displacement processes and breakthrough characteristics instantly.
Developed, maintained, and hosted by Vinkius.
MCP VERIFIED · PRODUCTION READY · VINKIUS GUARANTEED
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Works with modern AI clients that support MCP, including ChatGPT, Claude, Cursor, and more.
Your AI does the work. We keep it safe and sound.
No other AI tool gives you this. Your workflow runs in the client you already love, your account stays protected, and you decide what the agent can and cannot do. It is the whole reason to make the switch.
Each Connector lives inside our infrastructure, the same place where your workflow runs. The three things below are already part of it, working quietly in the background so you never have to think about them. Nothing to add, nothing to set up, nothing to worry about.

Each Connector runs inside its own sealed environment.
Each Connector runs inside its own sealed V8 runtime — no access to your files, your system, or other servers. A Connector never sees past its own request.
One switch stops every agent. Instantly.
One action deactivates every Connector, revokes every token, and ends every session at once. AI Governance keeps the record.
Spending limits that pause instead of surprise.
Every user keeps their own connections and credentials, isolated from everyone else. Anything that would cross your spending limit is held for your approval, not billed.
Three controls, built into the layer your AI connects through.
Curated set · 4 capabilities
We ship only the actions that matter.
01-04
4 capabilities in this set.
Part of 4 available through Fractional Flow Engine.
- 01
Calculate fractional flow curve
This capability generates a series of water cut values based on a range of water saturations.
- 02
Calculate gravity correction
Use this to compute the specific gravity component for reservoirs that are inclined.
- 03
Compare displacement efficiency
This capability evaluates how changes in viscosity ratios or gravity effects impact sweep efficiency.
- 04
Perform welge analysis
This capability determines breakthrough characteristics by applying the tangent method.
Real work
What teams actually run
Breakthrough Analysis
Predict when water will break through in a waterflood using Welge analysis.
Inclined Reservoir Modeling
Apply gravity corrections to displacement models when dealing with non-horizontal reservoirs.
Scenario Comparison
Compare how different oil and water viscosities change the total sweep efficiency.
Curve Generation
Generate fractional flow curves for water-oil systems to visualize water cut trends.
One connector, every AI
Fractional Flow Engine works with the most popular AI clients.
These are the most popular clients, each with a step-by-step guide: one link, set up once, with governance and visibility built in. And because everything runs on the MCP standard, the same connection also works in any other compatible client — nothing to rebuild.
Claude
ChatGPT
Gemini
Perplexity
Grok
Microsoft Copilot
Cursor
VS Code
Windsurf
JetBrains
Cline
LangChain
Vercel AI SDK
Lovable
Z.ai
Raycast
Qwen Code
Kimi Code
Le ChatBuilding your own app? The connector is yours to use.
You don't need a client to put Fractional Flow Engine to work: the same hosted connection plugs into your own applications and agent code, with the same governance on every request. Build with it, chat with it — one connection for both.
Observed, not estimated
924ms average. Fast in production.
Fractional Flow Engine is checked daily against the live service.
- Fastest day
- 788ms
- Slowest day
- 1130ms
- 14-day trend
- Slowing+6%
Connect your client
One URL. Every client.
Activate the Connector, copy your link, and paste it into the client you already use. 4 capabilities arrive ready to run.
Preview access · not provider authentication
The vk_preview_* token belongs to Vinkius preview infrastructure. It lets Claude discover and display the capabilities of Fractional Flow Engine, so you can see the experience inside your AI.
It does not authenticate your account with Fractional Flow Engine. Actions requiring credentials or live account data may not run until you activate the Connector and authorize the service.
Fractional Flow Engine Connector
You're all set. Choose your MCP client and follow the setup instructions.
https://edge.vinkius.com/vk_preview_4Sw4oROYV816SgnSOarFsB9Qk8x2GHg9pcJCF7CN/mcpClaude Desktop
Follow the steps below to connect in seconds.
- 1In Claude Desktop, open Settings → Connectors.
- 2Click “Add custom connector” and paste the connector link above as the remote MCP server URL.
- 3Click Add and start a new chat — Fractional Flow Engine capabilities are ready to use.
{
"mcpServers": {
"fractional-flow-equation-toolset-mcp": {
"url": "https://edge.vinkius.com/vk_preview_4Sw4oROYV816SgnSOarFsB9Qk8x2GHg9pcJCF7CN/mcp"
}
}
}
Claude
ChatGPT
Cursor
VS Code
Windsurf
Claude Code
JetBrains
Cline
Step-by-step instructions for each client are in the guide. How to connect
Guided setup for Claude? Set up Fractional Flow Engine in Claude and other AIs
Who it's for
Built for the work Fractional Flow Engine owners hand off.
This MCP is built for petroleum engineers and reservoir specialists who need to run displacement math within their coding or reasoning environments.
- 01
Reservoir Engineer
Hands off complex displacement calculations to the AI to speed up modeling.
- 02
Petroleum Engineer
Uses the capability to quickly check gravity corrections and water cut values.
- 03
Data Scientist
Integrates reservoir physics into automated simulation workflows.
FAQ
Questions Fractional Flow Engine owners ask.
- 01
What can this MCP do for reservoir engineering?
It calculates fractional flow curves, performs Welge analysis for breakthrough, handles gravity corrections, and compares displacement efficiencies.
- 02
Which AI clients can use this toolset?
You can use this MCP with any compatible client, including Claude, Cursor, Windsurf, and VS Code.
- 03
How does it handle inclined reservoirs?
It uses the calculate_gravity_correction capability to compute the specific gravity component for inclined reservoirs.
- 04
Can I compare different viscosity ratios?
Yes, the compare_displacement_efficiency capability evaluates how different viscosity ratios impact sweep efficiency.
- 05
Do I need to host the MCP myself?
No, Vinkius hosts and manages the MCP for you, so it is ready to use as soon as you connect.
- 06
How do I calculate the water cut at breakthrough?
You can use the perform_welge_analysis capability. Provide the fractional flow curve data and the initial water saturation to find the water cut at breakthrough.
- 07
Can I account for inclined reservoirs?
Yes, use calculate_gravity_correction to compute the gravity factor based on fluid densities, reservoir height, and inclination angle.
- 08
How do I compare two different displacement scenarios?
Use the compare_displacement_efficiency capability by providing the base flow curve and the comparison flow curve.
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Connect Fractional Flow Engine to Claude, Cursor, ChatGPT & more
