98 cadillac eldorado low fuel chime keeps chiming. I do not want to change sending unit...just delete the chime. ..what wires do I cut ??

It could be oil pressure is low, in which case shut off engine and haul to shop. Or it could be a false indicator, i.e. faulty oil pressure sense circuit (sending unit/cable/connect).

your best bet , take it to a qualified repair shop. Have it checked for DTC'S - diagnostic trouble code's

Audible Warnings Description and Operation
The audible warnings alert the driver of a system concern or a critical vehicle condition. The instrument panel cluster (IPC) generates audible warnings through an internal acoustic speaker. The IPC receives audible warning requests via the serial data circuit. If the IPC receives multiple audible warning requests, the warning with the highest priority sounds first. The following lists the audible warning priority and the pulse rate:
Fast rate chime (200 pulses per minute)
Medium rate chime (150 pulses per minute)
Slow rate chime (50 pulses per minute)
Single chime
Door Ajar Warning
The IPC activates the door ajar audible warning as requested by the body control module (BCM). The BCM sends a serial data message to the IPC indicating the chime frequency and duration. The door ajar warning sounds and the appropriate DOOR AJAR indicator illuminates in the driver information center (DIC) when the following occurs:
• The body control module (BCM) determines that a door, driver door, passenger door. The IPC receives a serial data message from the BCM indicating the door ajar status.
• The vehicle is not in park. The IPC receives a serial data message from the BCM indicating the gear position.
• The vehicle speed is greater than 8.05 km/h (5 MPH). The IPC uses the vehicle speed information from the ECM to calculate the vehicle speed.
Fasten Safety Belt Warning
The IPC activates the fasten safety belt audible warning as requested by the BCM. The BCM sends a serial data message to the IPC indicating the chime frequency and duration. The fasten safety belt warning sounds and the fasten safety belt indicator illuminates when the following occurs:
• The ignition switch transitions to ON.
• The inflatable restraint sensing and diagnostic module (SDM) detects that the driver's seat belt is not buckled. The IPC receives a serial data message from the SDM indicating the drivers seat belt status.
If the seat belt is buckled when the ignition is turned ON, the chime will not sound. If the seat belt is buckled while the chime is sounding, the chime will stop. If the seat belt is unbuckled after the initial transition to ON, the chime will not sound.
Key-In-Ignition Warning
The IPC activates the key-in-ignition audible warning as requested by the BCM. The BCM sends a serial data message to the IPC indicating the chime frequency and duration. The key-in-ignition warning sounds when the following occurs:
• The ignition switch is OFF.
• The body control module (BCM) determines that the driver's door is open. The IPC receives a serial data message from the BCM indicating the door ajar status.
• The BCM determines that the key-in-ignition switch is closed and the signal circuit is low. The IPC receives a serial data message from the BCM indicating the key-in-ignition status.
Lights On Warning
The IPC activates the lights on warning as requested by the body control module (BCM). The BCM sends a serial data message to the IPC indicating the chime frequency and duration. The lights on warning sounds when the following occurs:
• The ignition is OFF.
• The BCM determines that the drivers door is open and the signal circuit is low.
• The BCM determines that the headlamp switch is in the park or head position.
Park Brake Warning
The IPC activates the park brake audible warning as requested by the BCM. The BCM sends a serial data message to the IPC indicating the chime frequency and duration.
• The body control module (BCM) determines that the park brake is applied.
• The vehicle is not in park. The IPC receives a serial data message from the engine control module (ECM) indicating the gear position.
• The vehicle speed is greater than 8.05 km/h (5 mph). The IPC uses the vehicle speed signal information from the engine control module (ECM) in order to calculate the vehicle speed.
Additional Warnings
The following warnings have an associated instrument panel cluster (IPC) indicator or driver information center (DIC) message:
• Check Oil Level
The IPC activates the audible warning as requested by the BCM. The BCM sends a serial data message to the chime producer indicating the chime frequency and duration.
• Low Fuel
The IPC activates the audible warning as requested by the BCM. The BCM sends a serial data message to the chime producer indicating the chime frequency and duration.
• Oil Pressure Low Stop Engine
The IPC activates the audible warning as requested by the BCM. The BCM sends a serial data message to the chime producer indicating the chime frequency and duration.
• Reduced Engine Power
The IPC activates the audible warning as requested by the BCM. The BCM sends a serial data message to the chime producer indicating the chime frequency and duration.
• Trans Hot Idle Engine
The IPC activates the audible warning as requested by the BCM. The BCM sends a serial data message to the chime producer indicating the chime frequency and duration.
• Turn Signal On
The IPC activates the audible warning as requested by the BCM. The BCM sends a serial data message to the chime producer indicating the chime frequency and duration

do you have a low on oil sensor to.I know on Mercedes you sometimes have to change both.

See if oil pressure sensor is leaking oil, if it is, replace it. It may be LYING or maybe NOT?

it is possible your oil pump is going out, this is the reason for the chime

Change fuel filter, may have pulled some debris from tank into fuel filter stopping it up

Did you replace it with a factory radio or an after market one?
If you did the after market one,it's not wired correctly.

Didn't notice that before? If not, it may be a warning chime telling you that one or more bulbs aren't working. Turn them on & do a walk around & see.

Usually. if it is a sending unit problem the sending unit will either read full all the time or empty all the time. If your's is reading correctly it's more likely that you have a short in the wiring, somewhere between the light and chime and the sending unit.

I suggest that you did not disconnect the warning buzzer. The reason why the buzzer goes off is not because you are getting low on fuel, but fuel is what keeps the fuel pump cool and keeps it from burning up. I'd keep in connected because it's cheaper to add fuel than replace a fuel pump.